Marques, Jorge and Pascoal, Rui (2018): Mathematical Economics - Marginal analysis in the consumer behavior theory. Published in: in Proceedings of the 19th SEFI-MWG European Seminar on Mathematics in Engineering Education
Preview |
PDF
MPRA_paper_96442.pdf Download (142kB) | Preview |
Abstract
In the neoclassical theory, the economic value of a good is determined by the benefit that an individual consumer attributes to the last ("marginal") unit consumed. Marginal analysis was introduced to the theory of value by William Jevons, Carl Menger and Léon Walras, the founders of marginalism. Since the so-called “marginalist revolution” of the 1870s, differential (or infinitesimal) calculus has been applied to the mathematical modelling of economic theories. Our goal is to present some consumer behavior models, their advantages and limitations, using the methodology of economic science. It should be emphasized that each (re)formulation is based on different economic principles: diminishing marginal utility, diminishing marginal rate of substitution and weak axiom of revealed preference.
Item Type: | MPRA Paper |
---|---|
Original Title: | Mathematical Economics - Marginal analysis in the consumer behavior theory |
Language: | English |
Keywords: | Marginal analysis, consumer behavior models, diminishing marginal rate of substitution, weak axiom of revealed preference |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods D - Microeconomics > D0 - General > D03 - Behavioral Microeconomics: Underlying Principles |
Item ID: | 96442 |
Depositing User: | Prof. Dr. Jorge Marques |
Date Deposited: | 10 Oct 2019 07:15 |
Last Modified: | 10 Oct 2019 07:15 |
References: | Debreu, G., 1959. Theory of value: An axiomatic analysis of economic equilibrium. Monograph nº 17 ed. New York: John Wiley & Sons: Cowles Foundation Yale University. Hayek, F. A. v., 1988. The fatal conceit: the errors of socialism. Bartley, William Warren ed. London: Routledge. Hicks, J. &. A. R., 1934. A reconsideration of the theory of value. Economica, New series, 1(2), pp. 196-219. Hicks, J., 1939. Value and capital. 1st ed. Oxford: Oxford University Press. Houthakker, H. S., 1950. Revealed preference and the utility function. Economica, Volume 17, pp. 159-174. Jevons, W. S., 1871. The theory of political economy. 1st ed. London: Macmillan. Marques, J., 2014. An application of ordinary differential equations in economics: modeling consumer's preferences using marginal rates of substitution. Em: F. M. a. M. M. N. Mastorakis, ed. Mathematical Methods in Science and Mechanics: Mathematics and Computers in Science and Engineering. s.l.:Wseas Press, pp. 46-53. Marshall, A., 1920. Principles of Economics, An Introductory Volume. 8th ed. London: Macmillan. Mas-Colell, W. M. D. G. J., 1995. Microeconomic theory. Oxford: Oxford University Press. Menger, C., 1950 [1871]. Principles of Economics. English translation of the book published in 1871 ed. Glencoe: Free Press. Menger, K., 2003. Austrian marginalism and mathematical economics. Em: S. B. e. al, ed. Selecta Mathematica. Vienna: Springer, pp. 531-553. Mirowski, P., 1991. The when, the how and the why of mathematical expression in the history of economic analysis. Journal of Economic Perspectives, 5(1), pp. 145-157. Pareto, V., 1909. Manuel D'Economie politique. 1st ed. Paris: V. Giard et E. Brière. Robbins, L., 1984. An essay on the nature and significance of economic science. 3rd ed. London: Macmillan. Samuelson, P. A., 1938. A note on the pure theory of consumer's behaviour. Economica, Volume 5, pp. 61- 71. Samuelson, P. A., 1948. Consumption theory in terms of revealed preference. Economica, Volume 15, pp. 243-253. Thaler, R. H., 1980. Toward a positive theory of consumer choice. J. Econ. Behavior and Org., Volume 1, pp. 39-60. Walras, L., 1874. Eléments d'économie politique pure. 1st ed. Paris: Guillaumin. Wong, S., 2006. The Foundations of Paul samuelson's revealed preferences theory: a study by the method of rational reconstruction. London: Psychology Press. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/96442 |