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Marginalism is a theory of
economics Economics () is the social science that studies the production, distribution, and consumption of goods and services. Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics analy ...
that attempts to explain the discrepancy in the value of goods and services by reference to their secondary, or marginal, utility. It states that the reason why the price of diamonds is higher than that of water, for example, owes to the greater additional satisfaction of the diamonds over the water. Thus, while the water has greater total utility, the diamond has greater
marginal utility In economics, utility is the satisfaction or benefit derived by consuming a product. The marginal utility of a good or service describes how much pleasure or satisfaction is gained by consumers as a result of the increase or decrease in consumpti ...
. Although the central concept of marginalism is that of marginal utility, marginalists, following the lead of
Alfred Marshall Alfred Marshall (26 July 1842 – 13 July 1924) was an English economist, and was one of the most influential economists of his time. His book '' Principles of Economics'' (1890) was the dominant economic textbook in England for many years. I ...
, drew upon the idea of marginal physical productivity in explanation of
cost In Production (economics), production, research, retail, and accounting, a cost is the value of money that has been used up to produce something or deliver a service, and hence is not available for use anymore. In business, the cost may be one o ...
. The neoclassical tradition that emerged from British marginalism abandoned the concept of
utility As a topic of economics, utility is used to model worth or value. Its usage has evolved significantly over time. The term was introduced initially as a measure of pleasure or happiness as part of the theory of utilitarianism by moral philosoph ...
and gave marginal rates of substitution a more fundamental role in analysis. Marginalism is an integral part of mainstream economic theory.


Important marginal concepts


Marginality

For issues of marginality, constraints are conceptualized as a ''border'' or ''margin''. The location of the margin for any individual corresponds to his or her ''endowment'', broadly conceived to include opportunities. This endowment is determined by many things including physical laws (which constrain how forms of energy and matter may be transformed), accidents of nature (which determine the presence of natural resources), and the outcomes of past decisions made both by others and by the individual. A value that holds true given particular constraints is a ''marginal'' value. A change that would be affected as or by a specific loosening or tightening of those constraints is a ''marginal'' change. Neoclassical economics usually assumes that marginal changes are infinitesimals or
limits Limit or Limits may refer to: Arts and media * ''Limit'' (manga), a manga by Keiko Suenobu * ''Limit'' (film), a South Korean film * Limit (music), a way to characterize harmony * "Limit" (song), a 2016 single by Luna Sea * "Limits", a 2019 ...
. Although this assumption makes the analysis less robust, it increases tractability. One is therefore often told that "marginal" is synonymous with "very small", though in more general analysis this may not be operationally true and would not in any case be literally true. Frequently, economic analysis concerns the marginal values associated with a change of one unit of a resource, because decisions are often made in terms of units; marginalism seeks to explain unit prices in terms of such marginal values.


Marginal use

The marginal use of a good or service is the specific use to which an agent would put a given increase, or the specific use of the good or service that would be abandoned in response to a given decrease.von Wieser, Friedrich; ''Über den Ursprung und die Hauptgesetze des wirtschaftlichen Wertes'' /nowiki>''The Nature and Essence of Theoretical Economics''/nowiki> (1884), p. 128. Marginalism assumes, for any given agent, economic rationality and an ordering of possible states-of-the-world, such that, for any given set of constraints, there is an attainable state which is best in the eyes of that agent. Descriptive marginalism asserts that choice amongst the specific means by which various anticipated specific states-of-the-world (outcomes) might be affected is governed only by the distinctions amongst those specific outcomes;
prescriptive Linguistic prescription, or prescriptive grammar, is the establishment of rules defining preferred usage of language. These rules may address such linguistic aspects as spelling, pronunciation, vocabulary, syntax, and semantics. Sometimes info ...
marginalism asserts that such choice ''ought'' to be so governed. On such assumptions, each increase would be put to the specific, feasible, previously unrealized use of greatest priority, and each decrease would result in abandonment of the use of lowest priority amongst the uses to which the good or service had been put.


Marginal utility

The marginal utility of a good or service is the utility of its marginal use. Under the assumption of economic rationality, it is the utility of its least urgent possible use ''from'' the best feasible combination of actions in which its use is included. In 20th century
mainstream economics Mainstream economics is the body of knowledge, theories, and models of economics, as taught by universities worldwide, that are generally accepted by economists as a basis for discussion. Also known as orthodox economics, it can be contrasted to h ...
, the term "
utility As a topic of economics, utility is used to model worth or value. Its usage has evolved significantly over time. The term was introduced initially as a measure of pleasure or happiness as part of the theory of utilitarianism by moral philosoph ...
" has come to be formally defined as a '' quantification'' capturing preferences by assigning greater quantities to states, goods, services, or applications that are of higher priority. But marginalism and the concept of marginal utility predate the establishment of this convention within economics. The more general conception of utility is that of ''use'' or ''usefulness'', and this conception is at the heart of marginalism; the term "marginal utility" arose from translation of the German "Grenznutzen",von Wieser, Friedrich; ''Der natürliche Werth'' /nowiki>''Natural Value''/nowiki> (1889), Bk I Ch V "Marginal Utility"
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.
which literally means ''border use'', referring directly to the marginal use, and the more general formulations of marginal utility do not treat quantification as an ''essential'' feature.Mc Culloch, James Huston; "The Austrian Theory of the Marginal Use and of Ordinal Marginal Utility", ''
Zeitschrift für Nationalökonomie ''Journal of Economics'', founded as ''Zeitschrift für Nationalökonomie'', is an academic journal of economics with an emphasis on mathematical microeconomic theory, although it publishes occasional articles on macroeconomics. ''Zeitschrift für ...
'' 37 (1973) #3&4 (September).
On the other hand, none of the early marginalists insisted that utility were ''not'' quantified, some indeed treated quantification as an essential feature, and those who did not still used an assumption of quantification for expository purposes. In this context, it is not surprising to find many presentations that fail to recognize a more general approach.


Quantified marginal utility

Under the
special case In logic, especially as applied in mathematics, concept is a special case or specialization of concept precisely if every instance of is also an instance of but not vice versa, or equivalently, if is a generalization of . A limiting case ...
in which usefulness can be quantified, the change in utility of moving from state S_1 to state S_2 is :\Delta U=U(S_2)-U(S_1)\, Moreover, if S_1 and S_2 are distinguishable by values of just one variable g\, which is itself quantified, then it becomes possible to speak of the ratio of the marginal utility of the change in g\, to the size of that change: :\left.\frac\_ (where “ c.p.” indicates that the ''only''
independent variable Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables receive this name because, in an experiment, their values are studied under the supposition or deman ...
to change is g\,). Mainstream neoclassical economics will typically assume that :\lim_ is well defined, and use "marginal utility" to refer to a
partial derivative In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Pa ...
:\frac\approx\left.\frac\_


Law of diminishing marginal utility

The law of diminishing marginal utility, also known as a
Gossen Gossen may refer to: Economics * Hermann Heinrich Gossen (1810–1858), Prussian economist ** Gossen's laws, his laws concerning such economic concepts as scarcity and marginal utility ** Gossen's second law Gossen's Second “Law”, named for ...
's First Law, is that ''
ceteris paribus ' (also spelled '; () is a Latin phrase, meaning "other things equal"; some other English translations of the phrase are "all other things being equal", "other things held constant", "all else unchanged", and "all else being equal". A statement ...
'', as additional amounts of a good or service are added to available resources, their marginal utilities are decreasing. This law is sometimes treated as a tautology, sometimes as something proven by introspection, or sometimes as a mere
instrumental An instrumental is a recording normally without any vocals, although it might include some inarticulate vocals, such as shouted backup vocals in a big band setting. Through semantic widening, a broader sense of the word song may refer to instr ...
assumption, adopted only for its perceived predictive efficacy. It is not quite any of these things, although it may have aspects of each. The law does not hold under all circumstances, so it is neither a tautology nor otherwise proveable; but it has a basis in prior observation. An individual will typically be able to partially order the potential uses of a good or service. If there is
scarcity In economics, scarcity "refers to the basic fact of life that there exists only a finite amount of human and nonhuman resources which the best technical knowledge is capable of using to produce only limited maximum amounts of each economic good. ...
, then a rational agent will satisfy wants of highest possible priority, so that no want is avoidably sacrificed to satisfy a want of ''lower'' priority. In the absence of complementarity across the uses, this will imply that the priority of use of any additional amount will be lower than the priority of the established uses, as in this famous example: :A pioneer farmer had five sacks of grain, with no way of selling them or buying more. He had five possible uses: as basic feed for himself, food to build strength, food for his chickens for dietary variation, an ingredient for making whisky and feed for his parrots to amuse him. Then the farmer lost one sack of grain. Instead of reducing every activity by a fifth, the farmer simply starved the parrots as they were of less utility than the other four uses; in other words they were on the margin. And it is on the margin, and not with a view to the big picture, that we make economic decisions.Böhm-Bawerk, Eugen Ritter von; ''Kapital Und Kapitalizns. Zweite Abteilung: Positive Theorie des Kapitales'' (1889). Translated as ''Capital and Interest. II: Positive Theory of Capital'' with appendices rendered as ''Further Essays on Capital and Interest''. However, if there ''is'' a complementarity across uses, then an amount added can bring things past a desired tipping point, or an amount subtracted cause them to fall short. In such cases, the marginal utility of a good or service might actually be ''increasing''. Without the presumption that utility is quantified, the ''diminishing'' of utility should not be taken to be itself an
arithmetic Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th c ...
subtraction Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, . For example, in the adjacent picture, there are peaches—meaning 5 peaches with 2 taken ...
. It is the movement from use of higher to lower priority, and may be no more than a purely ordinal change. Theodore-Angwenyi, Nicholas; "Utility", ''International Encyclopedia of the Social Sciences'' (1968). When quantification of utility is assumed, diminishing marginal utility corresponds to a utility function whose ''
slope In mathematics, the slope or gradient of a line is a number that describes both the ''direction'' and the ''steepness'' of the line. Slope is often denoted by the letter ''m''; there is no clear answer to the question why the letter ''m'' is used ...
'' is continually or continuously decreasing. In the latter case, if the function is also smooth, then the law may be expressed as :\frac<0 Neoclassical economics usually supplements or supplants discussion of marginal utility with
indifference curve In economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is ''indifferent''. That is, any combinations of two products indicated by the curve will provide the c ...
s, which were originally derived as the level curves of utility functions,Edgeworth, Francis Ysidro
''Mathematical Psychics''
(1881).
or can be produced without presumption of quantification, but are often simply treated as axiomatic. In the absence of complementarity of goods or services, diminishing marginal utility implies convexity of indifference curves, although such convexity would also follow from quasiconcavity of the utility function.


Marginal rate of substitution

The ''rate of substitution'' is the ''least favorable'' rate at which an agent is willing to exchange units of one good or service for units of another. The ''marginal'' rate of substitution (MRS) is the rate of substitution at the margin; in other words, given some constraint. When goods and services are
discrete Discrete may refer to: *Discrete particle or quantum in physics, for example in quantum theory *Discrete device, an electronic component with just one circuit element, either passive or active, other than an integrated circuit *Discrete group, a ...
, the least favorable rate at which an agent would trade A for B will usually be different from that at which she would trade B for A: :MRS_ \neq \frac1 When the goods and services are continuously divisible in the limiting case :MRS_ = \frac1 and the marginal rate of substitution is the slope of the
indifference curve In economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is ''indifferent''. That is, any combinations of two products indicated by the curve will provide the c ...
(multiplied by -1). If, for example, Lisa will not trade a goat for anything less than two sheep, then her :MRS_ = \frac\text If she will not trade a sheep for anything less than two goats, then her :MRS_ = \frac\text \neq \frac = \frac1 = \frac1 However, if she would trade one gram of banana for one ounce of ice cream ''and vice versa'', then :MRS_ = \frac = \frac1 = \frac1 When indifference curves (which are essentially graphs of instantaneous rates of substitution) and the convexity of those curves are not taken as given, the "law" of diminishing marginal utility is invoked to explain diminishing marginal rates of substitution – a willingness to accept fewer units of good or service A in substitution for B as one's holdings of A grow relative to those of B. If an individual has a stock or flow of a good or service whose marginal utility is less than would be that of some other good or service for which he or she could trade, then it is in his or her interest to effect that trade. As one thing is traded-away and another is acquired, the respective marginal gains or losses from further trades are now changed. On the assumption that the marginal utility of one is diminishing, and the other is not increasing, all else being equal, an individual will demand an increasing ratio of that which is acquired to that which is sacrificed. One important way in which all else might not be equal is when the use of the one good or service complements that of the other. In such cases, exchange ratios might be constant. If any trader can better his or her own marginal position by offering an exchange more favorable to other traders with desired goods or services, then he or she will do so.


Marginal cost

At the highest level of generality, a marginal cost is a marginal
opportunity cost In microeconomic theory, the opportunity cost of a particular activity is the value or benefit given up by engaging in that activity, relative to engaging in an alternative activity. More effective it means if you chose one activity (for exampl ...
. In most contexts, marginal cost refers to marginal '' pecuniary'' cost, that is to say marginal cost measured by forgone money. A thorough-going marginalism sees marginal cost as increasing under the law of diminishing marginal utility, because applying resources to one application reduces their availability to other applications. Neoclassical economics tends to disregard this argument, but to see marginal costs as increasing in consequence of
diminishing returns In economics, diminishing returns are the decrease in marginal (incremental) output of a production process as the amount of a single factor of production is incrementally increased, holding all other factors of production equal ( ceteris par ...
.


Application to price theory

Marginalism and neoclassical economics typically explain price formation broadly through the interaction of curves or schedules of supply and demand. In any case buyers are modelled as pursuing typically lower quantities, and sellers offering typically higher quantities, as price is increased, with each being willing to trade until the marginal value of what they would trade-away exceeds that of the thing for which they would trade.


Demand

Demand curves are explained by marginalism in terms of marginal rates of substitution. At any given price, a prospective buyer has some marginal rate of substitution of money for the good or service in question. Given the "law" of diminishing marginal utility, or otherwise given convex indifference curves, the rates are such that the willingness to forgo money for the good or service decreases as the buyer would have ever more of the good or service and ever less money. Hence, any given buyer has a demand schedule that generally decreases in response to price (at least until quantity demanded reaches zero). The aggregate quantity demanded by all buyers is, at any given price, just the sum of the quantities demanded by individual buyers, so it too decreases as price increases.


Supply

Both neoclassical economics and thorough-going marginalism could be said to explain supply curves in terms of marginal cost; however, there are marked differences in conceptions of that cost. Marginalists in the tradition of Marshall and neoclassical economists tend to represent the supply curve for any producer as a curve of marginal pecuniary costs objectively determined by physical processes, with an upward slope determined by
diminishing returns In economics, diminishing returns are the decrease in marginal (incremental) output of a production process as the amount of a single factor of production is incrementally increased, holding all other factors of production equal ( ceteris par ...
. A more thorough-going marginalism represents the supply curve as a ''complementary demand curve'' – where the demand is ''for'' money and the purchase is made ''with'' a good or service.Schumpeter, Joseph Alois; ''History of Economic Analysis'' (1954) Pt IV Ch 6 §4. The shape of that curve is then determined by marginal rates of substitution of money for that good or service.


Markets

By confining themselves to limiting cases in which sellers or buyers are both "price takers" – so that demand functions ignore supply functions or ''vice versa'' – Marshallian marginalists and neoclassical economists produced tractable models of "pure" or "perfect" competition and of various forms of "imperfect" competition, which models are usually captured by relatively simple graphs. Other marginalists have sought to present what they thought of as more realistic explanations, but this work has been relatively uninfluential on the mainstream of economic thought.


Paradox of water and diamonds

The law of diminishing marginal utility is said to explain the paradox of water and diamonds, most commonly associated with Adam Smith, although it was recognized by earlier thinkers. Human beings cannot even survive without water, whereas diamonds, in Smith's day, were ornamentation or engraving bits. Yet water had a very small price, and diamonds a very large price. Marginalists explained that it is the ''marginal'' usefulness of any given quantity that matters, rather than the usefulness of a ''class'' or of a ''totality''. For most people, water was sufficiently abundant that the loss or gain of a gallon would withdraw or add only some very minor use if any, whereas diamonds were in much more restricted supply, so that the loss or gain was much greater. That is not to say that the price of any good or service is simply a function of the marginal utility that it has for any one individual nor for some ostensibly typical individual. Rather, individuals are willing to trade based upon the respective marginal utilities of the goods that they have or desire (with these marginal utilities being distinct for each potential trader), and prices thus develop constrained by these marginal utilities.


History


Proto-marginalist approaches

Perhaps the essence of a notion of diminishing marginal utility can be found in
Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical Greece, Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatet ...
's ''Politics'', wherein he writes There has been marked disagreement about the development and role of marginal considerations in Aristotle's' value theory.Kauder, Emil; "Genesis of the Marginal Utility Theory from Aristotle to the End of the Eighteenth Century", ''Economic Journal'' v 63 (1953) pp. 638–50.Schumpeter, Joseph Alois; ''History of Economic Analysis'' (1954) Part II Chapter 1 §3. A great variety of economists concluded that there was ''some'' sort of inter-relationship between utility and rarity that effected economic decisions, and in turn informed the determination of prices. Eighteenth-century Italian mercantilists, such as Antonio Genovesi, Giammaria Ortes,
Pietro Verri Count Pietro Verri (12 December 1728 – 28 June 1797) was an economist, historian, philosopher and writer. Among the most important personalities of the 18th-century Italian culture, he is considered among the fathers of the Lombard reformist E ...
,
Cesare Beccaria Cesare Bonesana di Beccaria, Marquis of Gualdrasco and Villareggio (; 15 March 173828 November 1794) was an Italian criminologist, jurist, philosopher, economist and politician, who is widely considered one of the greatest thinkers of the Age ...
, and
Giovanni Rinaldo Gian Rinaldo Carli (1720–1795), also known by other names, was an Italian economist, historian, and antiquarian. Name "Gian Rinaldo Carli" is the modern Italian form of his name, which may also appear as "Gianrinaldo Carli" or "Gian-Rinaldo ...
, held that value was explained in terms of the general utility and of scarcity, though they did not typically work-out a theory of how these interacted.Pribram, Karl; ''A History of Economic Reasoning'' (1983), Chapter 5 "Refined Mercantilism", "Italian Mercantilists". In ''
Della Moneta Della Moneta (On Money) is a book written by Ferdinando Galiani, and is considered one of the first specific treatises on economics, especially monetary theory, preceding Adam Smith's The Wealth of Nations by twenty-five years. Summary ''Della M ...
'' (1751), Abbé
Ferdinando Galiani Ferdinando Galiani (2 December 1728, Chieti, Kingdom of Naples – 30 October 1787, Naples, Kingdom of Naples) was an Italian economist, a leading Italian figure of the Enlightenment. Friedrich Nietzsche referred to him as "a most fastidious and r ...
, a pupil of Genovesi, attempted to explain value as a ratio of two ratios, ''utility'' and ''scarcity'', with the latter component ratio being the ratio of quantity to use.
Anne Robert Jacques Turgot Anne Robert Jacques Turgot, Baron de l'Aulne ( ; ; 10 May 172718 March 1781), commonly known as Turgot, was a French economist and statesman. Originally considered a physiocrat, he is today best remembered as an early advocate for economic lib ...
, in ''Réflexions sur la formation et la distribution de richesse'' (1769), held that value derived from the general utility of the class to which a good belonged, from comparison of present and future wants, and from anticipated difficulties in procurement. Like the Italian mercantilists,
Étienne Bonnot de Condillac Étienne Bonnot de Condillac (; ; 30 September 17142 August or 3 August 1780) was a French philosopher and epistemologist, who studied in such areas as psychology and the philosophy of the mind. Biography He was born at Grenoble into a legal ...
saw value as determined by utility associated with the class to which the good belongs, and by estimated scarcity. In ''De commerce et le gouvernement'' (1776), Condillac emphasized that value is not based upon cost but that costs were paid because of value. This last point was famously restated by the 19th-century proto-marginalist
Richard Whately Richard Whately (1 February 1787 – 8 October 1863) was an English academic, rhetorician, logician, philosopher, economist, and theologian who also served as a reforming Church of Ireland Archbishop of Dublin. He was a leading Broad Churchman, ...
, who wrote as follows in ''Introductory Lectures on Political Economy'' (1832): Whately's student
Nassau William Senior Nassau William Senior (; 26 September 1790 – 4 June 1864), was an English lawyer known as an economist. He was also a government adviser over several decades on economic and social policy on which he wrote extensively. Early life He was born ...
is noted below as an early marginalist.
Frédéric Bastiat Claude-Frédéric Bastiat (; ; 30 June 1801 – 24 December 1850) was a French economist, writer and a prominent member of the French Liberal School. A member of the French National Assembly, Bastiat developed the economic concept of opportuni ...
in chapters V and XI of his ''Economic Harmonies'' (1850) also develops a theory of value as ratio between services that increment utility, rather than between total utility.


Marginalists before the Revolution

The first unambiguous published statement of any sort of theory of marginal utility was by
Daniel Bernoulli Daniel Bernoulli FRS (; – 27 March 1782) was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mech ...
, in "Specimen theoriae novae de mensura sortis". This paper appeared in 1738, but a draft had been written in 1731 or in 1732. In 1728,
Gabriel Cramer Gabriel Cramer (; 31 July 1704 – 4 January 1752) was a Genevan mathematician. He was the son of physician Jean Cramer and Anne Mallet Cramer. Biography Cramer showed promise in mathematics from an early age. At 18 he received his doctorat ...
produced fundamentally the same theory in a private letter. Each had sought to resolve the St. Petersburg paradox, and had concluded that the marginal desirability of money decreased as it was accumulated, more specifically such that the desirability of a sum were the
natural logarithm The natural logarithm of a number is its logarithm to the base of the mathematical constant , which is an irrational and transcendental number approximately equal to . The natural logarithm of is generally written as , , or sometimes, if ...
(Bernoulli) or
square root In mathematics, a square root of a number is a number such that ; in other words, a number whose ''square'' (the result of multiplying the number by itself, or  ⋅ ) is . For example, 4 and −4 are square roots of 16, because . ...
(Cramer) thereof. However, the more general implications of this hypothesis were not explicated, and the work fell into obscurity. In "A Lecture on the Notion of Value as Distinguished Not Only from Utility, but also from Value in Exchange", delivered in 1833 and included in ''Lectures on Population, Value, Poor Laws and Rent'' (1837),
William Forster Lloyd William Forster Lloyd FRS (1794 – 2 June 1852) was a British writer on economics. He is best known today for one of his 1833 lectures on population control which have influenced writers in modern economic theory. Life Born in 1794 at Braden ...
explicitly offered a general marginal utility theory, but did not offer its derivation nor elaborate its implications. The importance of his statement seems to have been lost on everyone (including Lloyd) until the early 20th century, by which time others had independently developed and popularized the same insight. In ''An Outline of the Science of Political Economy'' (1836),
Nassau William Senior Nassau William Senior (; 26 September 1790 – 4 June 1864), was an English lawyer known as an economist. He was also a government adviser over several decades on economic and social policy on which he wrote extensively. Early life He was born ...
asserted that marginal utilities were the ultimate determinant of demand, yet apparently did not pursue implications, though some interpret his work as indeed doing just that. In "De la mesure de l'utilité des travaux publics" (1844), Jules Dupuit applied a conception of marginal utility to the problem of determining bridge tolls. In 1854,
Hermann Heinrich Gossen Hermann Heinrich Gossen (7 September 1810 – 13 February 1858) was a Prussian economist who is often regarded as the first to elaborate a general theory of marginal utility. Life and work Gossen studied in Bonn, then worked in the Prussian admin ...
published ''Die Entwicklung der Gesetze des menschlichen Verkehrs und der daraus fließenden Regeln für menschliches Handeln'', which presented a marginal utility theory and to a very large extent worked-out its implications for the behavior of a market economy. However, Gossen's work was not well received in the Germany of his time, most copies were destroyed unsold, and he was virtually forgotten until rediscovered after the so-called Marginal Revolution.


Marginal Revolution

Marginalism as a formal theory can be attributed to the work of three economists,
Jevons Jevons may refer to: People * Frank Byron Jevons (1858–1936), British academic and philosopher * Frederic Jevons (born 1929), academic * Marshall Jevons, the name of a fictitious crime writer invented and used by William Breit and Kenneth G. Elzi ...
in England,
Menger Menger is a surname. Notable people with the surname include: * Andreas Menger (born 1972), former German football player * Anton Menger (1841–1906), Austrian economist and author; brother of Carl Menger * Carl Menger (1840–1921), Austrian eco ...
in Austria, and Walras in Switzerland.
William Stanley Jevons William Stanley Jevons (; 1 September 183513 August 1882) was an English economist and logician. Irving Fisher described Jevons's book ''A General Mathematical Theory of Political Economy'' (1862) as the start of the mathematical method in ec ...
first proposed the theory in articles in 1863 and 1871. Similarly,
Carl Menger Carl Menger von Wolfensgrün (; ; 28 February 1840 – 26 February 1921) was an Austrian economist and the founder of the Austrian School of economics. Menger contributed to the development of the theories of marginalism and marginal utility, ...
presented the theory in 1871. Menger explained why individuals use marginal utility to decide amongst trade-offs, but while his illustrative examples present utility as quantified, his essential assumptions do not.
Léon Walras Marie-Esprit-Léon Walras (; 16 December 1834 – 5 January 1910) was a French mathematical economist and Georgist. He formulated the marginal theory of value (independently of William Stanley Jevons and Carl Menger) and pioneered the development ...
introduced the theory in ''Éléments d'économie politique pure'', the first part of which was published in 1874. The American
John Bates Clark John Bates Clark (January 26, 1847 – March 21, 1938) was an American neoclassical economist. He was one of the pioneers of the marginalist revolution and opponent to the Institutionalist school of economics, and spent most of his career as ...
is also associated with the origins of Marginalism, but did little to advance the theory. This new way of thinking was a very drastic shift in thinking from the classical school of economics, founded in part by Adam Smith, David Ricardo and Thomas Malthus. The classical school of economics believed in a concept called the labor theory of value which emphasized the idea that the amount of time it took to produce a good determined the value of that good. This concept’s rival, marginal utility on the other hand, focused on the value that the consumer received from the good when determining its value. What the marginalists understood was that the exchange value of goods can be used to describe the use value of goods. Meghnad Desai puts it this way, “Individuals in their daily activity so managed their resources that they balanced the marginal utility - the utility(use value) derived from an extra unit of a commodity they consumed - with the price (exchange value) they paid for it”. Thus, when consumption of a good goes up, the utility of that good decreases as it’s consumed. Each person would continue to consume until the marginal utility would be equal to the price. Jevons also wanted to formulate a price theory that accounted for this marginal utility and discovered the following: cost production determines supply; supply determines final degree of utility; and final degree of utility determines value. Walras was able to articulate the utility maximization of the consumer far better than Jevons and Menger by assuming that utility was linked to the consumption of each good.


Second generation

Although the Marginal Revolution flowed from the work of Jevons, Menger, and Walras, their work might have failed to enter the mainstream were it not for a second generation of economists. In England, the second generation were exemplified by
Philip Wicksteed Philip Henry Wicksteed (25 October 1844 – 18 March 1927) is known primarily as an economist. He was also a Georgist, Unitarian theologian, classicist, medievalist, and literary critic. Family background He was the son of Charles Wicksteed ...
, by William Smart, and by
Alfred Marshall Alfred Marshall (26 July 1842 – 13 July 1924) was an English economist, and was one of the most influential economists of his time. His book '' Principles of Economics'' (1890) was the dominant economic textbook in England for many years. I ...
; in Austria by
Eugen Böhm von Bawerk Eugen is a masculine given name which may refer to: * Archduke Eugen of Austria (1863–1954), last Habsburg Grandmaster of the Teutonic Order from 1894 to 1923 * Prince Eugen, Duke of Närke (1865–1947), Swedish painter, art collector, and pat ...
and by
Friedrich von Wieser Friedrich Freiherr von Wieser (; 10 July 1851 – 22 July 1926) was an early (so-called "first generation") economist of the Austrian School of economics. Born in Vienna, the son of Privy Councillor Leopold von Wieser, a high official in the w ...
; in Switzerland by
Vilfredo Pareto Vilfredo Federico Damaso Pareto ( , , , ; born Wilfried Fritz Pareto; 15 July 1848 – 19 August 1923) was an Italian polymath (civil engineer, sociologist, economist, political scientist, and philosopher). He made several important contrib ...
; and in America by
Herbert Joseph Davenport Herbert Joseph Davenport (August 10, 1861 – June 15, 1931) was an American economist and critic of the Austrian School, educator and author. Biography Born in Vermont, Davenport studied at the University of Chicago for a year or so under Thor ...
and by
Frank A. Fetter Frank Albert Fetter (; March 8, 1863 – March 21, 1949) was an American economist of the Austrian School. Fetter's treatise, ''The Principles of Economics'', contributed to an increased American interest in the Austrian School, including the th ...
. There were significant, distinguishing features amongst the approaches of Jevons, Menger, and Walras, but the second generation did not maintain distinctions along national or linguistic lines. The work of von Wieser was heavily influenced by that of Walras. Wicksteed was heavily influenced by Menger. Fetter referred to himself and Davenport as part of "the American Psychological School", named in imitation of the Austrian "Psychological School". Clark's work from this period onward similarly shows heavy influence by Menger. William Smart began as a conveyor of Austrian School theory to English-language readers, though he fell increasingly under the influence of Marshall.Salerno, Joseph T. 1999; "The Place of Mises's Human Action in the Development of Modern Economic Thought". ''Quarterly Journal of Economic Thought'' v. 2 (1). Böhm-Bawerk was perhaps the most able expositor of Menger's conception. He was further noted for producing a theory of interest and of profit in equilibrium based upon the interaction of diminishing marginal utility with diminishing marginal productivity of time and with
time preference In economics, time preference (or time discounting, delay discounting, temporal discounting, long-term orientation) is the current relative valuation placed on receiving a good or some cash at an earlier date compared with receiving it at a later ...
. (This theory was adopted in full and then further developed by
Knut Wicksell Johan Gustaf Knut Wicksell (December 20, 1851 – May 3, 1926) was a leading Swedish economist of the Stockholm school. His economic contributions would influence both the Keynesian and Austrian schools of economic thought. He was married to ...
and with modifications including formal disregard for time-preference by Wicksell's American rival Irving Fisher.) Marshall was the second-generation marginalist whose work on marginal utility came most to inform the mainstream of neoclassical economics, especially by way of his ''Principles of Economics'', the first volume of which was published in 1890. Marshall constructed the demand curve with the aid of assumptions that utility was quantified, and that the marginal utility of money was constant, or nearly so. Like Jevons, Marshall did not see an explanation for supply in the theory of marginal utility, so he paired a marginal explanation of demand with a more classical explanation of supply, wherein costs were taken to be objectively determined. Marshall later actively mischaracterized the criticism that these costs were themselves ultimately determined by marginal utilities.


Marginal Revolution as a response to socialism

The doctrines of marginalism and the Marginal Revolution are often interpreted as a response to the rise of the worker's movement,
Marxian economics Marxian economics, or the Marxian school of economics, is a heterodox school of political economic thought. Its foundations can be traced back to Karl Marx's critique of political economy. However, unlike critics of political economy, Marxian e ...
and the earlier (Ricardian) socialist theories of the
exploitation of labour Exploitation of labour (also known as labor) is a concept defined as, in its broadest sense, one agent taking unfair advantage of another agent. It denotes an unjust social relationship based on an asymmetry of power or unequal exchange of value b ...
. The first volume of ''
Das Kapital ''Das Kapital'', also known as ''Capital: A Critique of Political Economy'' or sometimes simply ''Capital'' (german: Das Kapital. Kritik der politischen Ökonomie, link=no, ; 1867–1883), is a foundational theoretical text in materialist phi ...
'' was not published until July 1867, when marginalism was already developing, but before the advent of Marxian economics, proto-marginalist ideas such as those of Gossen had largely fallen on deaf ears. It was only in the 1880s, when Marxism had come to the fore as the main economic theory of the workers' movement, that Gossen found (posthumous) recognition. Aside from the rise of Marxism, E. Screpanti and S. Zamagni point to a different 'external' reason for marginalism's success, which is its successful response to the
Long Depression The Long Depression was a worldwide price and economic recession, beginning in 1873 and running either through March 1879, or 1896, depending on the metrics used. It was most severe in Europe and the United States, which had been experiencing str ...
and the resurgence of
class conflict Class conflict, also referred to as class struggle and class warfare, is the political tension and economic antagonism that exists in society because of socio-economic competition among the social classes or between rich and poor. The forms ...
in all developed capitalist economies after the 1848–1870 period of social peace. Marginalism, Screpanti and Zamagni argue, offered a theory of the free market as perfect, as performing optimal allocation of resources, while it allowed economists to blame any adverse effects of laissez-faire economics on the interference of workers' coalitions in the proper functioning of the market. Scholars have suggested that the success of the generation who followed the preceptors of the Revolution was their ability to formulate straightforward responses to
Marxist economic theory Marxian economics, or the Marxian school of economics, is a heterodox school of political economic thought. Its foundations can be traced back to Karl Marx's critique of political economy. However, unlike critics of political economy, Marxian e ...
. The most famous of these was that of Böhm-Bawerk, "" (1896), but the first was Wicksteed's "The Marxian Theory of Value. ''Das Kapital'': a criticism" (1884, followed by "The Jevonian criticism of Marx: a rejoinder" in 1885). The most famous early Marxist responses were
Rudolf Hilferding Rudolf Hilferding (10 August 1877 – 11 February 1941) was an Austrian-born Marxist economist, socialist theorist,International Institute of Social History, ''Rodolf Hilferding Papers''. http://www.iisg.nl/archives/en/files/h/10751012.php pol ...
's (1904) and ''The Economic Theory of the Leisure Class'' (1914) by
Nikolai Bukharin Nikolai Ivanovich Bukharin (russian: Никола́й Ива́нович Буха́рин) ( – 15 March 1938) was a Bolshevik revolutionary, Soviet politician, Marxist philosopher and economist and prolific author on revolutionary theory. ...
.


Eclipse

In his 1881 work ''Mathematical Psychics'',
Francis Ysidro Edgeworth Francis Ysidro Edgeworth (8 February 1845 – 13 February 1926) was an Anglo-Irish philosopher and political economist who made significant contributions to the methods of statistics during the 1880s. From 1891 onward, he was appointed th ...
presented the
indifference curve In economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is ''indifferent''. That is, any combinations of two products indicated by the curve will provide the c ...
, deriving its properties from marginalist theory which assumed utility to be a differentiable function of quantified goods and services. But it came to be seen that indifference curves could be considered as somehow ''given'', without bothering with notions of utility. In 1915,
Eugen Slutsky Evgeny "Eugen" Evgenievich Slutsky (russian: Евге́ний Евге́ньевич Слу́цкий; – 10 March 1948) was a Russian and Soviet mathematical statistician, economist and political economist. Work in economics Slutsky is principa ...
derived a theory of consumer choice solely from properties of indifference curves. Because of the World War, the
Bolshevik Revolution The October Revolution,. officially known as the Great October Socialist Revolution. in the Soviet Union, also known as the Bolshevik Revolution, was a revolution in Russia led by the Bolshevik Party of Vladimir Lenin that was a key mome ...
, and his own subsequent loss of interest, Slutsky's work drew almost no notice, but similar work in 1934 by
John Hicks Sir John Richards Hicks (8 April 1904 – 20 May 1989) was a British economist. He is considered one of the most important and influential economists of the twentieth century. The most familiar of his many contributions in the field of economic ...
and R. G. D. Allen derived much the same results and found a significant audience. Allen subsequently drew attention to Slutsky's earlier accomplishment. Although some of the third generation of Austrian School economists had by 1911 rejected the quantification of utility while continuing to think in terms of marginal utility, most economists presumed that utility must be a sort of quantity. Indifference curve analysis seemed to represent a way of dispensing with presumptions of quantification, albeït that a seemingly arbitrary assumption (admitted by Hicks to be a "rabbit out of a hat") about decreasing marginal rates of substitutionHicks, Sir John Richard; ''Value and Capital'', Chapter I. "Utility and Preference" §7–8. would then have to be introduced to have convexity of indifference curves. For those who accepted that superseded marginal utility analysis had been superseded by indifference curve analysis, the former became at best somewhat analogous to the Bohr model of the atom—perhaps pedagogically useful, but "old fashioned" and ultimately incorrect.Samuelson, Paul Anthony; "Complementarity: An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory", ''Journal of Economic Literature'' vol 12 (1974).


Revival

When Cramer and Bernoulli introduced the notion of diminishing marginal utility, it had been to address a paradox of gambling, rather than the
paradox of value The paradox of value (also known as the diamond–water paradox) is the contradiction that, although water is on the whole more useful, in terms of survival, than diamonds, diamonds command a higher price in the market. The philosopher Adam Smi ...
. The marginalists of the revolution, however, had been formally concerned with problems in which there was neither
risk In simple terms, risk is the possibility of something bad happening. Risk involves uncertainty about the effects/implications of an activity with respect to something that humans value (such as health, well-being, wealth, property or the environme ...
nor
uncertainty Uncertainty refers to Epistemology, epistemic situations involving imperfect or unknown information. It applies to predictions of future events, to physical measurements that are already made, or to the unknown. Uncertainty arises in partially ...
. So too with the indifference curve analysis of Slutsky, Hicks, and Allen. The
expected utility hypothesis The expected utility hypothesis is a popular concept in economics that serves as a reference guide for decisions when the payoff is uncertain. The theory recommends which option rational individuals should choose in a complex situation, based on the ...
of Bernoulli ''et alii'' was revived by various 20th century thinkers, including Frank Ramsey (1926),
John von Neumann John von Neumann (; hu, Neumann János Lajos, ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest cove ...
and
Oskar Morgenstern Oskar Morgenstern (January 24, 1902 – July 26, 1977) was an Austrian-American economist. In collaboration with mathematician John von Neumann, he founded the mathematical field of game theory as applied to the social sciences and strategic decis ...
(1944), and Leonard Savage (1954). Although this hypothesis remains controversial, it brings not merely utility but a quantified conception thereof back into the mainstream of economic thought, and would dispatch the Ockhamistic argument. It should perhaps be noted that in expected utility analysis the law of diminishing marginal utility corresponds to what is called
risk aversion In economics and finance, risk aversion is the tendency of people to prefer outcomes with low uncertainty to those outcomes with high uncertainty, even if the average outcome of the latter is equal to or higher in monetary value than the more c ...
.


Criticism


Marxist criticism of marginalism

Karl Marx Karl Heinrich Marx (; 5 May 1818 – 14 March 1883) was a German philosopher, economist, historian, sociologist, political theorist, journalist, critic of political economy, and socialist revolutionary. His best-known titles are the 1848 ...
died before marginalism became the interpretation of economic value accepted by mainstream economics. His theory was based on the
labor theory of value The labor theory of value (LTV) is a theory of value that argues that the economic value of a good or service is determined by the total amount of " socially necessary labor" required to produce it. The LTV is usually associated with Marxian e ...
, which distinguishes between exchange value and use value. In his ''Capital'', he rejected the explanation of long-term market values by supply and demand: :Nothing is easier than to realize the inconsistencies of demand and supply, and the resulting deviation of market-prices from market-values. The real difficulty consists in determining what is meant by the equation of supply and demand. : ..:If supply equals demand, they cease to act, and for this very reason commodities are sold at their market-values. Whenever two forces operate equally in opposite directions, they balance one another, exert no outside influence, and any phenomena taking place in these circumstances must be explained by causes other than the effect of these two forces. If supply and demand balance one another, they cease to explain anything, do not affect market-values, and therefore leave us so much more in the dark about the reasons why the market-value is expressed in just this sum of money and no other. In his early response to marginalism,
Nikolai Bukharin Nikolai Ivanovich Bukharin (russian: Никола́й Ива́нович Буха́рин) ( – 15 March 1938) was a Bolshevik revolutionary, Soviet politician, Marxist philosopher and economist and prolific author on revolutionary theory. ...
argued that "the subjective evaluation from which price is to be derived really starts from this price", concluding: :Whenever the Böhm-Bawerk theory, it appears, resorts to individual motives as a basis for the derivation of social phenomena, he is actually smuggling in the social content in a more or less disguised form in advance, so that the entire construction becomes a vicious circle, a continuous logical fallacy, a fallacy that can serve only specious ends, and demonstrating in reality nothing more than the complete barrenness of modern bourgeois theory. Similarly a later Marxist critic,
Ernest Mandel Ernest Ezra Mandel (; also known by various pseudonyms such as Ernest Germain, Pierre Gousset, Henri Vallin, Walter (5 April 1923 – 20 July 1995), was a Belgian Marxian economist, Trotskyist activist and theorist, and Holocaust survivor. He ...
, argued that marginalism was "divorced from reality", ignored the role of production, further arguing: :It is, moreover, unable to explain how, from the clash of millions of different individual "needs" there emerge not only uniform prices, but prices which remain stable over long periods, even under perfect conditions of free competition. Rather than an explanation of constants, and of the basic evolution of economic life, the "marginal" technique provides at best an explanation of ephemeral, short-term variations. Maurice Dobb argued that prices derived through marginalism depend on the distribution of income. The ability of consumers to express their preferences is dependent on their spending power. As the theory asserts that prices arise in the act of exchange, Dobb argues that it cannot explain how the distribution of income affects prices and consequently cannot explain prices.Dobb, Maurice; ''Theories of value and Distribution'' (1973). Dobb also criticized the ''motives'' behind marginal utility theory. Jevons wrote, for example, "so far as is consistent with the inequality of wealth in every community, all commodities are distributed by exchange so as to produce the maximum social benefit." (See Fundamental theorems of welfare economics.) Dobb contended that this statement indicated that marginalism is intended to insulate market economics from criticism by making prices the natural result of the given income distribution.


Marxist adaptations to marginalism

Some economists strongly influenced by the Marxian tradition such as
Oskar Lange Oskar Ryszard Lange (27 July 1904 – 2 October 1965) was a Polish economist and diplomat. He is best known for advocating the use of market pricing tools in socialist systems and providing a model of market socialism. He responded to the econ ...
, Włodzimierz Brus, and Michał Kalecki have attempted to integrate the insights of classical
political economy Political economy is the study of how economic systems (e.g. markets and national economies) and political systems (e.g. law, institutions, government) are linked. Widely studied phenomena within the discipline are systems such as labour ...
, marginalism, and
neoclassical economics Neoclassical economics is an approach to economics in which the production, consumption and valuation (pricing) of goods and services are observed as driven by the supply and demand model. According to this line of thought, the value of a good ...
. They believed that Marx lacked a sophisticated theory of prices, and neoclassical economics lacked a theory of the social frameworks of economic activity. Some other Marxists have also argued that on one level there is no conflict between marginalism and Marxism as one could employ a marginalist theory of supply and demand within the context of a big picture understanding of the Marxist notion that capitalists exploit surplus labor.Steedman, Ian; ''Socialism & Marginalism in Economics, 1870–1930'' (1995).


See also

* Theory of value


References


External links

* Backhouse, Roger E. "Marginal Revolution." eds. Steven N. Durlauf and Lawrence E. Blume (2008). The New Palgrave Dictionary of Economics. Palgrave Macmillan
2nd edition online
{{Authority control History of economic thought Microeconomic theories Theory of value (economics) Marginal concepts