Mathematical Economics: A Reader
This paper is modeled as a hypothetical first lecture in a graduate Microeconomics or Mathematical Economics Course. We start with a detailed scrutiny of the notion of a utility function to motivate and describe the common patterns across Mathematical concepts and results that are used by economists. In the process we arrive at a classification of mathematical terms which is used to state mathematical results in economics. The usefulness of the classification scheme is illustrated with the help of a discussion of fixed-point theorems and Arrow's impossibility theorem. Several appendices provide a step-wise description of some mathematical concepts often used by economists and a few useful results in microeconomics.
|Date of creation:||Jun 2011|
|Date of revision:|
|Contact details of provider:|| Postal: Department of Economics, Monash University, Victoria 3800, Australia|
Web page: http://www.buseco.monash.edu.au/eco/
More information through EDIRC
|Order Information:|| Web: http://www.buseco.monash.edu.au/eco/research/papers/ Email: |
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
- Gilboa,Itzhak, 2009.
"Theory of Decision under Uncertainty,"
Cambridge University Press, number 9780521517324, June.
- Gilboa, I. & Schmeidler, D., 1999.
"Inductive Inference: an Axiomatic Approach,"
29-99, Tel Aviv.
- Itzhak Gilboa & David Schmeidler, 2002. "Inductive Inference: An Axiomatic Approach," NajEcon Working Paper Reviews 391749000000000544, www.najecon.org.
- Itzhak Gilboa & David Schmeidler, 2001. "Inductive Inference: An Axiomatic Approach," Cowles Foundation Discussion Papers 1339, Cowles Foundation for Research in Economics, Yale University.
- Gilboa, I. & Schmeidler, D., 2001. "Inductive Inference: An Axiomatic Approach," Papers 2001-19, Tel Aviv.
- Itzhak Gilboa & David Schmeidler, 2002. "Inductive Inference: An Axiomatic Approach," Levine's Working Paper Archive 391749000000000544, David K. Levine.
- Itzhak Gilboa & David Schmeidler, 2003. "Inductive Inference: An Axiomatic Approach," Post-Print hal-00481297, HAL.
- Volij, Oscar & Palacios-Huerta, Ignacio, 2004.
"The Measurment of Intellectual Influence,"
Staff General Research Papers
10797, Iowa State University, Department of Economics.
- Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
- Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, vol. 126(1), pages 286-298, January.
- List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
- Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
- William Thomson, 2001. "On the axiomatic method and its recent applications to game theory and resource allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(2), pages 327-386.
- Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
When requesting a correction, please mention this item's handle: RePEc:mos:moswps:2011-02. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Simon Angus)
If references are entirely missing, you can add them using this form.