The Invisible Hand
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The invisible hand is a
metaphor A metaphor is a figure of speech that, for rhetorical effect, directly refers to one thing by mentioning another. It may provide, or obscure, clarity or identify hidden similarities between two different ideas. Metaphors are usually meant to cr ...
inspired by the
Scottish Scottish usually refers to something of, from, or related to Scotland, including: *Scottish Gaelic, a Celtic Goidelic language of the Indo-European language family native to Scotland *Scottish English *Scottish national identity, the Scottish ide ...
economist and moral philosopher
Adam Smith Adam Smith (baptised 1723 – 17 July 1790) was a Scottish economist and philosopher who was a pioneer in the field of political economy and key figure during the Scottish Enlightenment. Seen by some as the "father of economics"——— or ...
that describes the incentives which free markets sometimes create for self-interested people to accidentally act in the public interest, even when this is not something they intended. Smith originally mentioned the term in two specific, but different, economic examples. It is used once in his ''
Theory of Moral Sentiments ''The Theory of Moral Sentiments'' is a 1759 book by Adam Smith. It provided the ethical, philosophical, economic, and methodological underpinnings to Smith's later works, including ''The Wealth of Nations'' (1776), '' Essays on Philosophical S ...
'' when discussing a hypothetical example of wealth being concentrated in the hands of one person, who wastes his wealth, but thereby employs others. More famously, it is also used once in his ''
Wealth of Nations ''An Inquiry into the Nature and Causes of the Wealth of Nations'', usually referred to by its shortened title ''The Wealth of Nations'', is a book by the Scottish people, Scottish economist and moral philosophy, moral philosopher Adam Smith; ...
'', when arguing that governments do not normally need to force international traders to invest in their own home country. In both cases, Adam Smith speaks of ''an'' invisible hand, never of ''the'' invisible hand. Going far beyond the original intent of Smith's metaphor, twentieth-century economists, especially
Paul Samuelson Paul Anthony Samuelson (May 15, 1915 – December 13, 2009) was an American economist who was the first American to win the Nobel Memorial Prize in Economic Sciences. When awarding the prize in 1970, the Swedish Royal Academies stated that he "h ...
, popularized the use of the term to refer to a more general and abstract conclusion that truly free markets are self-regulating systems that always tend to create economically optimal outcomes, which in turn cannot be improved upon by government intervention. The idea of trade and market exchange perfectly channelling self-interest toward socially desirable ends is a central justification for newer versions of the ''
laissez-faire ''Laissez-faire'' ( , from , ) is a type of economic system in which transactions between private groups of people are free from any form of economic interventionism (such as subsidies or regulations). As a system of thought, ''laissez-faire'' ...
'' economic philosophy which lie behind
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 go ...
. Adam Smith was a proponent of less government intervention in his own time, and of the possible benefits of a future with more free trade both domestically and internationally. However, in a context of discussing science more generally, Smith himself once described "invisible hand" explanations as a style suitable for unscientific discussion, and he never used it to refer to any general principle of economics. His argumentation against government interventions into markets were based on specific cases, and were not absolute. Putting the invisible hand itself aside, while Smith's various ways of presenting the case against government management of the economy were very influential, they were also not new. Smith himself cites earlier enlightenment thinkers such as
Bernard Mandeville Bernard Mandeville, or Bernard de Mandeville (; 15 November 1670 – 21 January 1733), was an Anglo-Dutch philosopher, political economist, satirist, writer and physician. Born in Rotterdam, he lived most of his life in England and used English ...
. Smith's invisible hand argumentation may have also been influenced by
Richard Cantillon Richard Cantillon (; 1680s – ) was an Irish-French economist and author of '' Essai Sur La Nature Du Commerce En Général'' (''Essay on the Nature of Trade in General''), a book considered by William Stanley Jevons to be the "cradle of ...
and his model of the isolated estate. Because the modern use of this term has become a shorthand way of referring to a key neoclassical assumption, disagreements between economic ideologies are now sometimes viewed as disagreement about how well the "invisible hand" is working. For example, it is argued that tendencies that were nascent during Smith's lifetime, such as large-scale industry, finance, and advertising, have reduced the effectiveness of the supposed invisible hand.Olsen, James Stewart. ''Encyclopedia of the Industrial Revolution''. Greenwood Publishing Group, 2002. pp. 153–154


History of the terms and concepts

The term "invisible hand" has classical roots, and it was relatively widely used in 18th-century English. Adam Smith's own usage of the term did not attract much attention until many generations after his death. In his early unpublished essay on ''The History of Astronomy'' (written before 1758) he specifically described this type of explanation as a common and unscientific way of thinking. Smith wrote that superstitious people, or people with no time to think philosophically about complex chains of cause and effect, tend to explain irregular, unexpected natural phenomena such as "thunder and lightning, storms and sunshine", as acts of favour or anger performed by "gods, daemons, witches, genii, fairies". For this reason the philosophical or scientific study of nature can only begin when there is social order and security, so that people are not living in fear, and can be attentive. Because of this background, a wide range of interpretations have been given to the fact that Smith himself used the metaphor twice when discussing economic topics. On one extreme it has been argued that Smith was literally suggesting that divine intervention is at play in the economy, and at the other extreme it has been suggested that Smith's use of this metaphor shows that he was being sarcastic. The modern conception of a free market causing the best possible economic result, which is now commonly associated with the term "invisible hand", also developed further, going beyond Smith's conception. It has been influenced by arguments for free markets found not only in Smith's works, but also by earlier writers such as especially
Bernard Mandeville Bernard Mandeville, or Bernard de Mandeville (; 15 November 1670 – 21 January 1733), was an Anglo-Dutch philosopher, political economist, satirist, writer and physician. Born in Rotterdam, he lived most of his life in England and used English ...
, and later more mathematical approaches by economists such as Pareto and Marshall.


Adam Smith's use of the term in economics


''The Wealth of Nations''

The invisible hand is explicitly mentioned only once in the ''Wealth of Nations'', in a specialized chapter not about free trade but about capital investment, which discusses the concern that international merchants might choose to invest in foreign countries. Smith argues that a self-interested investor will have a natural tendency to employ his capital as near home as he can, as long as the home market does not give much lower returns than other alternatives. This in turn means... As noted by William D. Grampp, this example involves "a particular condition that may or may not be present in a transaction on a competitive market". Essentially, the invisible hand refers to the unintended positive consequences self-interest has on the promotion of community
welfare Welfare may refer to: Philosophy *Well-being (happiness, prosperity, or flourishing) of a person or group * Utility in utilitarianism * Value in value theory Economics * Utility, a general term for individual well-being in economics and decision ...
. Nevertheless, Smith draws a practical implication in this case is that legislators should not intervene too hastily in many (if not all) cases: According to Grampp:


''The Theory of Moral Sentiments''

Smith's first use of the invisible hand metaphor occurs in ''The Theory of Moral Sentiments'' (1759) in Part IV, Chapter 1, where he describes a selfish landlord being led by an invisible hand to distribute his harvest to those who work for him. This passage concerns the distribution of wealth: the poor receive the "necessities of life" after the rich have gratified "their own vain and insatiable desires". It has been noted that in this passage Smith seems to equate the invisible hand to "
Providence Providence often refers to: * Providentia, the divine personification of foresight in ancient Roman religion * Divine providence, divinely ordained events and outcomes in some religions * Providence, Rhode Island, the capital of Rhode Island in the ...
", implying a divine plan. Although this passage concerns an economic topic in a broad sense, it does not concern "the invisible hand" of the free market as understood by twentieth century economists, but is instead about income distribution. There is no repeat of this argumentation in Smith's comprehensive work on economics in his later ''Wealth of Nations'', and income distribution is not a central concern of modern neoclassical market theory. As Blaug noted in the ''New Palgrave Dictionary of Economics'' this passage "dispels the belief that Smith meant one thing and one thing only by the metaphor of 'the invisible hand'." Grampp has claimed that if there is any connection between this passage and Smith's other one, "it has not been demonstrated with evidence from what Smith actually wrote".


The reinterpretation by modern economists

In contrast to Smith's own usage, the "invisible hand" today is often seen as being specifically about the benefits of voluntary transactions in a free market, and is treated as a generalizable rule.
Paul Samuelson Paul Anthony Samuelson (May 15, 1915 – December 13, 2009) was an American economist who was the first American to win the Nobel Memorial Prize in Economic Sciences. When awarding the prize in 1970, the Swedish Royal Academies stated that he "h ...
's comments in his ''Economics'' textbook in 1948 made the term popular and gave it a new meaning. The phrase was not originally commonly referred to among economists before the twentieth century.
Alfred Marshall Alfred Marshall (26 July 1842 – 13 July 1924) was an English economist and one of the most influential economists of his time. His book ''Principles of Economics (Marshall), Principles of Economics'' (1890) was the dominant economic textboo ...
never used it in his '' Principles of Economics'' textbook and neither does
William Stanley Jevons William Stanley Jevons (; 1 September 1835 – 13 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 i ...
in his ''Theory of Political Economy''. Samuelson's remark was as follows: In this interpretation, the theory is that the Invisible Hand states that if each consumer is allowed to choose freely what to buy and each producer is allowed to choose freely what to sell and how to produce it, the market will settle on a product distribution and prices that are beneficial to all the individual members of a community, and hence to the community as a whole. The reason for this is that self-interest drives actors to beneficial behavior in a case of
serendipity Serendipity is an unplanned fortunate discovery. The term was coined by Horace Walpole in 1754. The concept is often associated with scientific and technological breakthroughs, where accidental discoveries led to new insights or inventions. Ma ...
. Efficient methods of production are adopted to maximize profits. Low prices are charged to maximize revenue through gain in market share by undercutting competitors. Investors invest in those industries most urgently needed to maximize returns, and withdraw capital from those less efficient in creating value. All these effects take place dynamically and automatically. Since Smith's time, this concept has been further incorporated into economic theory.
Léon Walras Marie-Esprit-Léon Walras (; 16 December 1834 – 5 January 1910) was a French mathematical economics, mathematical economist and Georgist. He formulated the Marginalism, marginal theory of value (independently of William Stanley Jevons and Carl ...
developed a four-equation
general equilibrium In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an ov ...
model that concludes that individual self-interest operating in a competitive market place produces the unique conditions under which a society's total utility is maximized.
Vilfredo Pareto Vilfredo Federico Damaso Pareto (; ; born Wilfried Fritz Pareto; 15 July 1848 – 19 August 1923) was an Italian polymath, whose areas of interest included sociology, civil engineering, economics, political science, and philosophy. He made severa ...
used an
Edgeworth box In economics, an Edgeworth box, sometimes referred to as an Edgeworth-Bowley box, is a graphical representation of a market with just two commodities, ''X'' and ''Y'', and two consumers. The dimensions of the box are the total quantities Ω''x'' an ...
contact line to illustrate a similar social optimality.
Ludwig von Mises Ludwig Heinrich Edler von Mises (; ; September 29, 1881 – October 10, 1973) was an Austrian-American political economist and philosopher of the Austrian school. Mises wrote and lectured extensively on the social contributions of classical l ...
, in ''
Human Action ''Human Action: A Treatise on Economics'' is a work by the Austrian economist and philosopher Ludwig von Mises. Widely considered Mises' ''magnum opus'', it presents the case for laissez-faire capitalism based on praxeology, his method to under ...
'' uses the expression "the invisible hand of Providence", referring to
Marx Karl Marx (; 5 May 1818 – 14 March 1883) was a German philosopher, political theorist, economist, journalist, and revolutionary socialist. He is best-known for the 1848 pamphlet '' The Communist Manifesto'' (written with Friedrich Engels) ...
's period, to mean evolutionary
meliorism Meliorism (Latin ''melior'', better) is the idea that progress is a real concept and that humans can interfere with natural processes in order to improve the world. Meliorism, as a conception of the person and society, is at the foundation of co ...
. He did not mean this as a criticism, since he held that secular reasoning leads to similar conclusions.
Milton Friedman Milton Friedman (; July 31, 1912 – November 16, 2006) was an American economist and statistician who received the 1976 Nobel Memorial Prize in Economic Sciences for his research on consumption analysis, monetary history and theory and ...
, a
Nobel Memorial Prize The Nobel Memorial Prize in Economic Sciences, officially the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel (), commonly referred to as the Nobel Prize in Economics(), is an award in the field of economic sciences adminis ...
winner in economics, called Smith's Invisible Hand "the possibility of cooperation without
coercion Coercion involves compelling a party to act in an involuntary manner through the use of threats, including threats to use force against that party. It involves a set of forceful actions which violate the free will of an individual in order to i ...
."
Kaushik Basu Kaushik Basu (born 9 January 1952) is an Indian economist who was Chief Economist of the World Bank from 2012 to 2016 and Chief Economic Adviser to the Government of India from 2009 to 2012. He is the C. Marks Professor of International Studie ...
has called the
First Welfare Theorem There are two fundamental theorems of welfare economics. The first states that in economic equilibrium, a set of complete markets, with complete information, and in perfect competition, will be Pareto optimal (in the sense that no further exchange ...
the Invisible Hand Theorem. Some economists question the integrity of how the term "invisible hand" is currently used. Gavin Kennedy, Professor Emeritus at
Heriot-Watt University Heriot-Watt University () is a public research university based in Edinburgh, Scotland. It was established in 1821 as the School of Arts of Edinburgh, the world's first mechanics' institute, and was subsequently granted university status by roya ...
in Edinburgh, Scotland, argues that its current use in modern economic thinking as a symbol of free market capitalism is not reconcilable with the rather modest and indeterminate manner in which it was employed by Smith. In response to Kennedy, Daniel Klein argues that reconciliation is legitimate. Moreover, even if Smith did not intend the term "invisible hand" to be used in the current manner, its serviceability as such should not be rendered ineffective. In conclusion of their exchange, Kennedy insists that Smith's intentions are of utmost importance to the current debate, which is one of Smith's association with the term "invisible hand". If the term is to be used as a symbol of liberty and economic coordination as it has been in the modern era, Kennedy argues that it should exist as a construct completely separate from Adam Smith since there is little evidence that Smith imputed any significance onto the term, much less the meanings given it at present. The former Drummond Professor of Political Economy at
Oxford Oxford () is a City status in the United Kingdom, cathedral city and non-metropolitan district in Oxfordshire, England, of which it is the county town. The city is home to the University of Oxford, the List of oldest universities in continuou ...
,
D. H. MacGregor David Hutchison MacGregor (1877 – 8 May 1953) was a Scottish economist and Drummond Professor of Political Economy at the University of Oxford and Fellow of All Souls, Oxford, from 1921 to 1945. Early life He was born in Monifieth in An ...
, argued that:
Harvard Harvard University is a private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher lear ...
economist
Stephen Marglin Stephen Alan Marglin is an American economist. He is the Walter S. Barker Professor of Economics at Harvard University, a fellow of the Econometric Society, and a founding member of the World Economics Association. Background Marglin grew up in ...
argues that while the "invisible hand" is the "most enduring phrase in Smith's entire work", it is "also the most misunderstood." According to Emma Rothschild, Smith was actually being ironic in his use of the term.
Warren Samuels Warren Joseph Samuels (September 14, 1933 – August 17, 2011) was an American economist and historian of economic thought. He received a BBA from University of Miami, Miami, FL and obtained his Ph.D. from University of Wisconsin–Madison. Afte ...
described it as "a means of relating modern high theory to Adam Smith and, as such, an interesting example in the development of language." Proponents of liberal economics, for example
Deepak Lal Deepak Kumar Lal (1940 – 30 April 2020) was an Indian-born British liberal economist, author, professor and consultant.http://www.econ.ucla.edu/Lal/cv2004.pdf Best known for his 1983 book, The Poverty of “Development Economics", Lal was ...
, regularly claim that the invisible hand allows for market efficiency through its mechanism of acting as an indicator of what the market considers important, or valuable.


Understood as a metaphor

Smith uses the metaphor in the context of an argument against
protectionism Protectionism, sometimes referred to as trade protectionism, is the economic policy of restricting imports from other countries through methods such as tariffs on imported goods, import quotas, and a variety of other government regulations ...
and government regulation of markets, but it is based on very broad principles developed by
Bernard Mandeville Bernard Mandeville, or Bernard de Mandeville (; 15 November 1670 – 21 January 1733), was an Anglo-Dutch philosopher, political economist, satirist, writer and physician. Born in Rotterdam, he lived most of his life in England and used English ...
, Bishop Butler,
Lord Shaftesbury Earl of Shaftesbury is a title in the Peerage of England. It was created in 1672 for Anthony Ashley-Cooper, 1st Baron Ashley, a prominent politician in the Cabal then dominating the policies of King Charles II. He had already succeeded his fa ...
, and Francis Hutcheson. In general, the term "invisible hand" can apply to any individual action that has unplanned, unintended consequences, particularly those that arise from actions not orchestrated by a central command, and that have an observable, patterned effect on the community. Bernard Mandeville argued that private vices are actually public benefits. In ''
The Fable of the Bees ''The Fable of the Bees: or, Private Vices, Publick Benefits'' (1714) is a book by the Anglo-Dutch social philosopher Bernard Mandeville. It consists of the satirical poem ''The Grumbling Hive: or, Knaves turn'd Honest'', which was first publish ...
'' (1714), he laments that the "bees of social virtue are buzzing in Man's bonnet": that civilized man has stigmatized his private appetites and the result is the retardation of the common good. Bishop Butler argued that pursuing the public good was the best way of advancing one's own good since the two were necessarily identical. Lord Shaftesbury turned the convergence of public and private good around, claiming that acting in accordance with one's self-interest produces socially beneficial results. An underlying unifying force that Shaftesbury called the "Will of Nature" maintains equilibrium, congruency, and harmony. This force, to operate freely, requires the individual pursuit of
rational self-interest Rational egoism (also called rational selfishness) is the principle that an action is rational if and only if it maximizes one's self-interest.Baier (1990), p. 201; Gert (1998), p. 69; Shaver (2002), §3; Moseley (2006), §2. As such, it is consi ...
, and the preservation and advancement of the self. Francis Hutcheson also accepted this convergence between public and private interest, but he attributed the mechanism, not to rational self-interest, but to personal intuition, which he called a "moral sense". Smith developed his own version of this general principle in which six psychological motives combine in each individual to produce the common good. In ''The Theory of Moral Sentiments'', vol. II, page 316, he says, ''"By acting according to the dictates of our moral faculties, we necessarily pursue the most effective means for promoting the happiness of mankind."'' Contrary to common misconceptions, Smith did not assert that all self-interested labour necessarily benefits society, or that all public goods are produced through self-interested labour. His proposal is merely that in a free market, people ''usually'' tend to produce goods desired by their neighbours. The
tragedy of the commons The tragedy of the commons is the concept that, if many people enjoy unfettered access to a finite, valuable resource, such as a pasture, they will tend to overuse it and may end up destroying its value altogether. Even if some users exercised vo ...
is an example where self-interest tends to bring an unwanted result. The invisible hand is traditionally understood as a concept in economics, but
Robert Nozick Robert Nozick (; November 16, 1938 – January 23, 2002) was an American philosopher. He held the Joseph Pellegrino Harvard University Professor, University Professorship at Harvard University,Anarchy, State and Utopia'' that substantively the same concept exists in a number of other areas of academic discourse under different names, notably Darwinian
natural selection Natural selection is the differential survival and reproduction of individuals due to differences in phenotype. It is a key mechanism of evolution, the change in the Heredity, heritable traits characteristic of a population over generation ...
. In turn,
Daniel Dennett Daniel Clement Dennett III (March 28, 1942 – April 19, 2024) was an American philosopher and cognitive scientist. His research centered on the philosophy of mind, the philosophy of science, and the philosophy of biology, particularly as those ...
argues in ''
Darwin's Dangerous Idea ''Darwin's Dangerous Idea: Evolution and the Meanings of Life'' is a 1995 book by the philosopher Daniel Dennett, in which the author looks at some of the repercussions of Darwinian theory. The crux of the argument is that, whether or not Darwi ...
'' that this represents a "universal acid" that may be applied to a number of seemingly disparate areas of philosophical inquiry (consciousness and free will in particular), a hypothesis known as
Universal Darwinism Universal Darwinism, also known as generalized Darwinism, universal selection theory, or Darwinian metaphysics, is a variety of approaches that extend the theory of Darwinism beyond its original domain of biological evolution on Earth. Univer ...
. Positing an economy guided by this principle as ideal may amount to
Social Darwinism Charles Darwin, after whom social Darwinism is named Social Darwinism is a body of pseudoscientific theories and societal practices that purport to apply biological concepts of natural selection and survival of the fittest to sociology, economi ...
, which is also associated with champions of ''laissez-faire'' capitalism.


Tawney's interpretation

Christian socialist A Christian () is a person who follows or adheres to Christianity, a monotheistic Abrahamic religion based on the life and teachings of Jesus Christ. Christians form the largest religious community in the world. The words ''Christ'' and ''Chr ...
R. H. Tawney saw Smith as putting a name on an older idea:


Criticisms


Joseph E. Stiglitz

The
Nobel Prize The Nobel Prizes ( ; ; ) are awards administered by the Nobel Foundation and granted in accordance with the principle of "for the greatest benefit to humankind". The prizes were first awarded in 1901, marking the fifth anniversary of Alfred N ...
-winning economist
Joseph E. Stiglitz Joseph Eugene Stiglitz (; born February 9, 1943) is an American New Keynesian economist, a public policy analyst, political activist, and a professor at Columbia University. He is a recipient of the Nobel Memorial Prize in Economic Sciences (2 ...
, says: "the reason that the invisible hand often seems invisible is that it is often not there."ALTMAN, Daniel. ''Managing Globalization.'' In: ''Q & Answers'' with Joseph E. Stiglitz, Columbia University and ''The International Herald Tribune'', October 11, 2006
Stiglitz explains his position: The preceding claim is based on Stiglitz's 1986 paper, "Externalities in Economies with Imperfect Information and
Incomplete Markets In economics, incomplete markets are markets in which there does not exist an Arrow–Debreu security for every possible state of nature. In contrast with complete markets, this shortage of securities will likely restrict individuals from transferr ...
", which describes a general methodology to deal with externalities and for calculating optimal corrective taxes in a general equilibrium context. In it he considers a model with households, firms and a government. Households maximize a utility function u^(x^, z^), where x^ is the consumption vector and z^ are other variables affecting the utility of the household (e.g. pollution). The budget constraint is given by x^_+q \cdot \bar^\leq I^+\sum a^ \cdot \pi^, where q is a vector of prices, ahf the fractional holding of household h in firm f, πf the profit of firm f, Ih a lump sum government transfer to the household. The consumption vector can be split as x^=\left( x^_, \bar^ \right). Firms maximize a profit \pi^=y^_+p\cdot \bar_, where yf is a production vector and p is vector of producer prices, subject to y^_-G^(\bar^, z^) \leq 0, Gf a production function and zf are other variables affecting the firm. The production vector can be split as y^=\left( y^_, \bar^ \right). The government receives a net income R=t \cdot\bar-\sum I^, where t=(q-p) is a tax on the goods sold to households. It can be shown that in general the resulting equilibrium is not efficient. :{, class="toccolours collapsible collapsed" width="90%" style="text-align:left" !Proof , - , It is worth keeping in mind that an equilibrium for the model may not necessarily exist. If it exists and there are no taxes (Ih=0, ∀h), then demand equals supply, and the equilibrium is found by: \sum \bar{x} ^{h} (q,I,z) - \sum \bar{y}^{f}(p,z)=\bar{ x } (q,I,z) - \sum \bar{y}^{f}(p,z)=0 Let us use \frac{\partial E^{h{\partial q}=E^{h}_{q} as a simplifying notation, where E^{h}\left( q, z^{h}, u^{h} \right) is the expenditure function that allows the minimization of household expenditure for a certain level of utility. If there is a set of taxes, subsidies, and lump sum transfers that leaves household utilities unchanged and increase government revenues, then the above equilibrium is not Pareto optimal. On the other hand, if the above non taxed equilibrium is Pareto optimal, then the following maximization problem has a solution for t=0: : \begin{align} &\underset{t,I}{\operatorname{maximize& & R = t \cdot \bar{ x } - \sum I^{h} \\ &\operatorname{subject\;to} & & I^{h}+\sum a^{hf} \pi ^{f} =E^{h} (q,z^{h}; \bar{u}^{h}) \\ \end{align} This is a necessary condition for Pareto optimality. Taking the derivative of the constraint with respect to t yields: \frac{dI^{h{dt}+\sum a^{hf}\left( \pi^{f}_{z} \frac{dz^{f{dt}+\pi^{f}_{P} \frac{dp}{dt} \right)=E^{h}_{q} \frac{dq}{dt}+E^{h}_{z} \frac{dz^{h{dt} Where \pi^{f}_{z}=\frac{\partial \pi^{f}_{*{\partial z^{f and \pi^{f}_{*}(p,z^{f}) is the firm's maximum profit function. But since q=t+p, we have that dq/dt=IN-1+dp/dt. Therefore, substituting dq/dt in the equation above and rearranging terms gives: E^{h}_{q}+\left( E^{h}_{q} - \sum a^{hf} \pi^{f}_{P} \right)\frac{dp}{dt}=\frac{dI^{h{dt}+\left\{ \sum a^{hf} \pi^{f}_{z} \frac{dz^{f{dt} -E^{h}_{z} \frac{dz^{h{dt} \right\} Summing over all households and keeping in mind that \sum a^{hf}=1 yields: \sum E^{h}_{q}+\left(\sum E^{h}_{q} - \sum \pi^{f}_{P} \right)\frac{dp}{dt}=\sum \frac{dI^{h{dt}+\left\{\sum \pi^{f}_{z} \frac{dz^{f{dt} -\sum E^{h}_{z} \frac{dz^{h{dt} \right\} By the
envelope theorem In mathematics and economics, the envelope theorem is a major result about the differentiability properties of the value function of a parameterized optimization problem. As we change parameters of the objective, the envelope theorem shows that, in ...
we have: \widehat{ x }^{h}_{k}(q;z^{h},u^{h}) = \left. \frac{\partial E^{h{\partial q}\_{z^{h},u^{h \left. \frac{\partial \pi^{f}_{*{\partial p_{k_{1}\_{z^{f=y^{f}_{k};∀k This allows the constraint to be rewritten as: \bar{x} + \left( \bar{ x } - \bar{ y } \right)\frac{dp}{dt}=\sum\frac{dI^{h{dt}+\left( \sum\pi^{f}_{z}\frac{dz^{f{dt} - \sum E^{h}_{z} \frac{dz^{h{dt} \right) Since \bar{x}=\bar{y}: \sum \frac{dI^{h{dt}= \bar{ x } - \left( \sum \pi^{f}_{z} \frac{dz^{f{dt} - \sum E^{h}_{z} \frac{dz^{h{dt} \right) Differentiating the objective function of the maximization problem gives: \frac{dR}{dt}= \bar{ x } + \frac{d\bar{x{dt} \cdot t - \sum \frac{dI^{h{dt} Substituting \sum \frac{dI^{h{dt} from the former equation in to latter equation results in: \frac{dR}{dt}= \frac{d\bar{x{dt} \cdot t +(\sum \pi ^{f}_{z} \frac{dz^{f{dt} - \sum E^{h}_{z} \frac{dz^{h{dt}) =\frac{d\bar{x{dt} \cdot t +(\Pi^{t} - B^{t}) Recall that for the maximization problem to have a solution a t=0: \frac{dR}{dt} = \left( \Pi^{t} - B^{t} \right) = 0 In conclusion, for the equilibrium to be Pareto optimal dR/dt must be zero. Except for the special case where Π and B are equal, in general the equilibrium will not be Pareto optimal, therefore inefficient.


Noam Chomsky

Noam Chomsky Avram Noam Chomsky (born December 7, 1928) is an American professor and public intellectual known for his work in linguistics, political activism, and social criticism. Sometimes called "the father of modern linguistics", Chomsky is also a ...
suggests that Smith (and more specifically
David Ricardo David Ricardo (18 April 1772 – 11 September 1823) was a British political economist, politician, and member of Parliament. He is recognized as one of the most influential classical economists, alongside figures such as Thomas Malthus, Ada ...
) sometimes used the phrase to refer to a "home bias" for investing domestically in opposition to
offshore outsourcing Outsourcing is a business practice in which companies use external providers to carry out business processes that would otherwise be handled internally. Outsourcing sometimes involves transferring employees and assets from one firm to another. ...
production and
neoliberalism Neoliberalism is a political and economic ideology that advocates for free-market capitalism, which became dominant in policy-making from the late 20th century onward. The term has multiple, competing definitions, and is most often used pe ...
.American Decline: Causes and Consequences
Noam Chomsky


Stephen LeRoy

Stephen LeRoy, professor emeritus at the University of California, Santa Barbara, and a visiting scholar at the Federal Reserve Bank of San Francisco, offered a critique of the Invisible Hand, writing that "The single most important proposition in economic theory, first stated by Adam Smith, is that competitive markets do a good job allocating resources. (...) The financial crisis has spurred a debate about the proper balance between markets and government and prompted some scholars to question whether the conditions assumed by Smith...are accurate for modern economies.


John D. Bishop

John D. Bishop, a professor who worked at Trent University, Peterborough, indicates that the invisible hand might be applied differently to merchants and manufacturers from how it is applied with society. He wrote an article in 1995 titled "Adam Smith's Invisible Hand Argument", in which he suggests that Smith might be contradicting himself with the "Invisible Hand". He offers various critiques of the "Invisible Hand", and he writes that "the interest of business people are in fundamental conflict with the interest of society as a whole, and that business people pursue their personal goal at the expense of the public good". Thus, Bishop indicates that the "business people" are in conflict with society over the same interests and that Adam Smith might be contradicting himself. According to Bishop, he also gives the impression that in Smith's book 'The Wealth of Nations,' there's a close saying that "the interest of merchants and manufacturers were fundamentally opposed of society in general, and they had an inherent tendency to deceive and oppress society while pursuing their own interests." Bishop also states that the "invisible hand argument applies only to investing capital in one's own country for a maximum profit." In other words, he suggests that the invisible hand applies to only the merchants and manufacturers and that they're not the invisible force that moves the economy. He contends the argument "does not apply to the pursuit of self-interest (...) in any area outside of economic activities".


Thomas Piketty

French economist
Thomas Piketty Thomas Piketty (; born 7 May 1971) is a French economist who is a professor of economics at the School for Advanced Studies in the Social Sciences, associate chair at the Paris School of Economics (PSE) and Centennial Professor of Economics ...
notes that although the Invisible Hand does exist and thus that economic imbalances correct themselves over time, those economic imbalances may lead to an extended unoptimal utility, which could be solved thanks to non-commercial processes. He takes for instance the cases of real estate of which imbalances may last decades, and of the Great Famine of Ireland, which could have been avoided by shipments of food from Great Britain to areas in crisis without waiting for new bread producers to come.


See also

*
Emergence In philosophy, systems theory, science, and art, emergence occurs when a complex entity has properties or behaviors that its parts do not have on their own, and emerge only when they interact in a wider whole. Emergence plays a central rol ...
*
Enlightened self-interest Enlightened self-interest is a philosophy in ethics which states that persons who act to further the interests of others (or the interests of the group or groups to which they belong) ultimately serve their own self-interest. It has often been ...
*
Free price system A free price system or free price mechanism (informally called ''the price system'' or ''the price mechanism'') is a mechanism of resource allocation that relies upon prices set by the interchange of supply and demand. The resulting price signa ...
* Greed is good *
Laissez-faire ''Laissez-faire'' ( , from , ) is a type of economic system in which transactions between private groups of people are free from any form of economic interventionism (such as subsidies or regulations). As a system of thought, ''laissez-faire'' ...
*
Market fundamentalism Market fundamentalism, also known as free-market fundamentalism, is a term applied to a strong belief in the ability of unregulated '' laissez-faire'' or free-market capitalist policies to solve most economic and social problems. It is often us ...
*
Order of the Occult Hand The Order of the Occult Hand is a secret society of American journalists who slip the meaningless and telltale phrase "It was as if some occult hand had…" in print as an inside joke. History The phrase was introduced by Joseph Flanders, then a ...
*
Rational egoism Rational egoism (also called rational selfishness) is the principle that an action is rational if and only if it maximizes one's self-interest.Baier (1990), p. 201; Gert (1998), p. 69; Shaver (2002), §3; Moseley (2006), §2. As such, it is consi ...
*
Self-licensing Self-licensing (also moral self-licensing, moral licensing, or licensing effect) is a term used in social psychology and marketing to describe the subconscious phenomenon whereby increased confidence and security in one's self-image or self-concept ...
*
Spontaneous order Spontaneous order, also named self-organization in the hard sciences, is the spontaneous emergence of order out of seeming chaos. The term "self-organization" is more often used for physical changes and biological processes, while "spontaneous ...
*
Trickle-down economics Trickle-down economics, also known as the horse-and-sparrow theory, is a pejorative term for government economic policies that disproportionately favor the upper tier of the economic spectrum (wealthy individuals and large corporations). The ...
* The Visible Hand: The Managerial Revolution in American Business *
Vanishing Hand The Vanishing Hand theory is a concept first conceived of by economist Richard Normand Langlois. The term is an intentional play on both Adam Smith's invisible hand and Alfred Chandler's Visible Hand. Background In Smith's work, his invisible h ...


References


Bibliography

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Further reading

* Sen, Amartya. Introduction. The Theory of Moral Sentiments. By Adam Smith. 6th ed. 1790. New York: Penguin, 2009. vii–xxix.
''The Theory of Moral Sentiments'' (full text)


(full text) {{Social philosophy Adam Smith Classical liberalism Free market Metaphors referring to body parts