Qualitative Economics
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Qualitative economics is the representation and analysis of information about the direction of change (+, -, or 0) in some economic variable(s) as related to change of some other economic variable(s). For the non-zero case, what makes the change ''qualitative'' is that its direction but not its magnitude is specified.James Quirk, 1987. "qualitative economics," ''The New Palgrave: A Dictionary of Economics'', v. 4, p. 1. Typical exercises of qualitative economics include comparative-static changes studied in
microeconomics Microeconomics is a branch of economics that studies the behavior of individuals and Theory of the firm, firms in making decisions regarding the allocation of scarcity, scarce resources and the interactions among these individuals and firms. M ...
or
macroeconomics Macroeconomics is a branch of economics that deals with the performance, structure, behavior, and decision-making of an economy as a whole. This includes regional, national, and global economies. Macroeconomists study topics such as output (econ ...
and comparative equilibrium-growth states in a macroeconomic growth model. A simple example illustrating qualitative change is from macroeconomics. Let: :''GDP'' = nominal
gross domestic product Gross domestic product (GDP) is a monetary measure of the total market value of all the final goods and services produced and rendered in a specific time period by a country or countries. GDP is often used to measure the economic performanc ...
, a measure of national income : ''M'' = money supply :''T'' = total taxes. Monetary theory hypothesizes a positive relationship between ''GDP'' the
dependent variable A variable is considered dependent if it depends on (or is hypothesized to depend on) an independent variable. Dependent variables are studied under the supposition or demand that they depend, by some law or rule (e.g., by a mathematical functio ...
and ''M'' the independent variable. Equivalent ways to represent such a qualitative relationship between them are as a signed functional relationship and as a signed
derivative In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is t ...
: : GDP = f(\overset) \quad\! or \quad\frac > 0. where the '+' indexes a positive relationship of ''GDP'' to ''M'', that is, as ''M'' increases, ''GDP'' increases as a result. Another
model A model is an informative representation of an object, person, or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin , . Models can be divided in ...
of GDP hypothesizes that ''GDP'' has a negative relationship to ''T''. This can be represented similarly to the above, with a theoretically appropriate sign change as indicated: : GDP = f(\overset) \quad\! or \quad\frac < 0. That is, as ''T'' increases, ''GDP'' decreases as a result. A combined model uses both ''M'' and ''T'' as independent variables. The hypothesized relationships can be equivalently represented as signed functional relationships and signed
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). P ...
s (suitable for more than one independent variable): : GDP = f(\overset,\overset) \,\! \quad or \quad\frac > 0,\quad \frac < 0. Qualitative hypotheses occur in earliest history of formal economics but only as to formal economic models from the late 1930s with Hicks's model of general equilibrium in a competitive economy. A classic exposition of qualitative economics is Samuelson, 1947. Paul A. Samuelson, 1947. '' Foundations of Economic Analysis'', pp. 5, 21-29. There Samuelson identifies qualitative restrictions and the hypotheses of maximization and stability of equilibrium as the three fundamental sources of ''meaningful'' theorems — hypotheses about empirical data that could conceivably be refuted by empirical data.


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References

* J. R. Hicks, 1939. '' Value and Capital''. Oxford. * Kelvin Lancaster, 1962. "The Scope of Qualitative Economics," ''Review of Economic Studies'', 29(2),
p. 99
123. **W.M. Gorman, 1964. "More Scope for Qualitative Economics," ''Review of Economic Studies'', 31(1)
p. 65
68. * James Quirk, 1987. "qualitative economics," ''The New Palgrave: A Dictionary of Economics'', v. 4, pp. 1–3. * _____ and Richard Ruppert, 1965. "Qualitative Economics and the Stability of Equilibrium," ''Review of Economic Studies'', 32(4),
p. 311
326. * Paul A. Samuelson, 1947. '' Foundations of Economic Analysis'', Harvard University Press. {{ISBN, 0-674-31301-1 Comparative statics Mathematical and quantitative methods (economics)