Mohajan, Haradhan (2017): Analysis of Reciprocity and Substitution Theorems, and Slutsky Equation. Published in: Noble International Journal of Economics and Financial Research , Vol. 2, No. 3 (30 March 2017): pp. 54-75.
Preview |
PDF
MPRA_paper_82938.pdf Download (291kB) | Preview |
Abstract
The mathematical techniques are considered here to explain the economical problems. This article deals with the Substitution and Reciprocity Theorems for the various commodities. Finally, it also has considered the Slutsky Equation for the minimization of the prices and the budget constraints. The study has included analysis of some explicit examples to clarify the concepts of the results. The aim of this paper is to make the mathematical concepts interesting to the economists. An attempt has been taken here to discuss the problems in some detailed mathematical analysis in an elegant manner.
Item Type: | MPRA Paper |
---|---|
Original Title: | Analysis of Reciprocity and Substitution Theorems, and Slutsky Equation |
English Title: | Analysis of Reciprocity and Substitution Theorems, and Slutsky Equation |
Language: | English |
Keywords: | Indifference Hypersurface, Lagrange Multiplier, Utility Function, Reciprocity and Substitution Theorems, Slutsky Equation. |
Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis |
Item ID: | 82938 |
Depositing User: | Haradhan Kumar Mohajan |
Date Deposited: | 27 Nov 2017 02:17 |
Last Modified: | 27 Sep 2019 04:56 |
References: | Ballantine, S. (1928). The lorentz reciprocity theorem for electric waves. Proceedings of the IRE, 16(4): 513-18. Cassels, J. W. S. (1981). Economics for mathematicians. Cambridge University Press, London,UK. Chipman, J. S. and Lenfant, J.-S. (2002). Slutsky’s 1915 article: How it came to be found and interpreted. History of Political Economy, 34(3): 553-97. Falk, A. and Fischbacher, U. (2000). A theory of reciprocity, working paper No. 6. Institute for empirical research in economics, University of Zurich. Geary, R. C. (1950). A note on a constant-utility index of the cost of living. Review of Economic Studies, 18(1): 65-66. Hicks, J. R. (1956). A revision of demand theory. Oxford: Oxford University Press. Islam, J. N. (1997). Aspects of mathematical economics and social choice theory, In J. N. Islam (Ed.). Second Chittagong Conference on Mathematical Economics and its Relevance for Development. University of Chittagong, Bangladesh. Islam, J. N., Mohajan, H. K. and Moolio, P. (2009a). Political economy and social welfare with voting procedure. KASBIT Business Journal, 2(1): 42-66. Islam, J. N., Mohajan, H. K. and Moolio, P. (2009b). Preference of social choice in mathematical economics. Indus Journal of Management & Social Sciences, 3(1): 17-38. Leung, A. and Sproule, R. (2007). Using the compensating and equivalent variations to define the Slutsky equation under a discrete price change. Economics Bulletin, 4(11): 1-9. Mohajan, H. K. (2017). Aspects of mathematical economics, social choice and game theory, PhD Thesis. Jamal Nazrul Islam Research Centre for Mathematical and Physical Sciences (JNIRCMPS). University of Chittagong, Chittagong, Bangladesh. Nicholson, W. (2005). Microeconomic theory. 10th edn: Mason, Ohio: Thomson Higher Education. Raa, T. T. (1995). The substitution theorem. Journal of Economic Theory, 66(2): 632-36. Samuelson, P. A. (1947). Foundations of economic analysis. Cambridge: Harvard University Press. Slutsky, E. E. (1915). Sulla teoria del bilancio del consumatore, giornale degli economisti, 51, p. 1–26, English Translation by O. Ragusa as “On the theory of the budget of the consumer” in A. E. A. Readings in Price Theory by J. Stigler and K. E. Boulding (Eds.), (1952) London: George Allen and Unwin: 27–56. Stanca, L. (2007). Measuring indirect reciprocity: Whose back do we scratch?, working paper No. 131–December 2007. Department of Economics, University of Milan Bicocca. Varian, H. (2003). Intermediate microeconomics: A modern approach. 6th edn: New York: W.W. Norton. Vigier, A. (2012). Lecture notes in microeconomics. Department of Economics, University of Oslo, Norway. Weber, C. (2002). Linearity, Slutsky symmetry, and a conjecture of Hicks. Economics Bulletin, 4(12): 1-5. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/82938 |