Qualitative economics

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.[1]

Typical exercises of qualitative economics include comparative-static changes studied in microeconomics or macroeconomics 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, a measure of national income
M = money supply
T = total taxes.

Monetary theory hypothesizes a positive relationship between GDP the dependent variable 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:

GDP=f(M+) or df(M)dM>0.

where the '+' indexes a positive relationship of GDP to M, that is, as M increases, GDP increases as a result.

Another model 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(T−) or df(T)dT<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 derivatives (suitable for more than one independent variable):

GDP=f(M+,T−) or ∂f(M,T)∂M>0, ∂f(M,T)∂T<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.[2] A classic exposition of qualitative economics is Samuelson, 1947.[3] 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.[1]

## Notes

1. ↑ 1.0 1.1 James Quirk, 1987. "qualitative economics," The New Palgrave: A Dictionary of Economics, v. 4, p. 1.
2. ↑ J. R. Hicks, 1939. Value and Capital. Oxford.
3. ↑ Paul A. Samuelson, 1947. Foundations of Economic Analysis, pp. 5, 21-29.

## References

* J. R. Hicks, 1939. Value and Capital. Oxford.
* Kelvin Lancaster, 1962. "The Scope of Qualitative Economics," Review of Economic Studies, 29(2), pp. 99-123.
* W.M. Gorman, 1964. "More Scope for Qualitative Economics," Review of Economic Studies, 31(1) pp. 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), pp. 311-326.
* Paul A. Samuelson, 1947. Foundations of Economic Analysis, Harvard University Press. ISBN 0-674-31301-1

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