Bulgarian conjugation: Difference between revisions
en>R'n'B m Fix links to disambiguation page Lemma |
en>BG19bot m Remove <font face> per WP:MOSTEXT using AWB (8759) |
||
Line 1: | Line 1: | ||
The | '''Qualitative economics''' refers to 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.<ref name="Quirk1987">James Quirk, 1987. "qualitative economics," ''The [[New Palgrave: A Dictionary of Economics]]'', v. 4, p. 1.</ref> | ||
Typical exercises of qualitative economics include [[Comparative statics|comparative-static]] changes studied in [[microeconomics]] or [[macroeconomics]] and comparative equilibrium-growth states in a [[Exogenous growth model|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#Scope|money supply]] | |||
:''T'' = [[Macroeconomic policy instruments#Fiscal policy|total taxes]]. | |||
[[quantity theory of money|Monetary theory]] hypothesizes a [[Direct relationship|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]]: | |||
:::::: <math>+ \,\! </math> | |||
: <math> GDP = f(M) \,\! </math> <math> or \,\! </math> <math>\frac{ df(M) }{ dM} > 0.</math> | |||
where the '+' indexes a positive relationship of ''GDP'' to ''M'', that is, as ''M'' increases, ''GDP'' increases, and vice versa. | |||
Another [[Model (economics)|model]] of GDP hypothesizes that ''GDP'' has a [[inverse relationship|negative relationship]] to ''T''. This can be represented similarly to the above, with a theoretically appropriate sign change as indicated: | |||
::::::<math> - \,\! </math> | |||
: <math> GDP = f(T) \,\! </math> <math> or \,\! </math> <math>\frac{ df(T)}{ dT} < 0.</math> | |||
That is, as ''T'' increases, ''GDP'' decreases, and vice versa. | |||
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]]s (suitable for more than one independent variable): | |||
:::::: <math>+ \,\! </math> <math> - \,\! </math> | |||
:<math> GDP = f(M, T) \,\! </math> <math> or \,\! </math> <math>\frac{\partial f(M, T)}{\partial M} > 0,</math> <math>\frac{\partial f(M, T)}{\partial T} < 0.</math> | |||
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.<ref>[[J. R. Hicks]], 1939. ''[[Value and Capital]]''. Oxford.</ref> A classic exposition of qualitative economics is Samuelson, 1947.<ref>[[Paul A. Samuelson]], 1947. ''[[Foundations of Economic Analysis]]'', pp. 5, 21-29.</ref> There Samuelson identifies qualitative restrictions and the hypotheses of [[Maxima and minima|maximization]] and stability of [[Economic equilibrium|equilibrium]] as the three fundamental sources of ''meaningful'' theorems — hypotheses about empirical data that could conceivably be refuted by empirical data.<ref name="Quirk1987"/> | |||
==Notes== | |||
{{Reflist}} | |||
==References== | |||
* [[J. R. Hicks]], 1939. ''[[Value and Capital]]''. Oxford. | |||
* [[Kelvin Lancaster]], 1962. "The Scope of Qualitative Economics," ''Review of Economic Studies'', 29(2), p[http://www.jstor.org/pss/2295817 p. 99]-123. | |||
**W.M. Gorman, 1964. "More Scope for Qualitative Economics," ''Review of Economic Studies'', 31(1) p[http://www.jstor.org/pss/2295936 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[http://www.jstor.org/pss/2295838 p. 311]-326. | |||
* [[Paul A. Samuelson]], 1947. ''[[Foundations of Economic Analysis]]'', Harvard University Press. ISBN 0-674-31301-1 | |||
[[Category:Mathematical economics]] | |||
[[Category:Mathematical and quantitative methods (economics)]] |
Latest revision as of 09:33, 8 December 2012
Qualitative economics refers to 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:
where the '+' indexes a positive relationship of GDP to M, that is, as M increases, GDP increases, and vice versa.
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:
That is, as T increases, GDP decreases, and vice versa. 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):
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
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
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
- ↑ 1.0 1.1 James Quirk, 1987. "qualitative economics," The New Palgrave: A Dictionary of Economics, v. 4, p. 1.
- ↑ J. R. Hicks, 1939. Value and Capital. Oxford.
- ↑ Paul A. Samuelson, 1947. Foundations of Economic Analysis, pp. 5, 21-29.