Mathematical Economics: A Reader
AbstractThis 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Monash University, Department of Economics in its series Monash Economics Working Papers with number 02-11.
Length: 57 pages
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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-07-13 (All new papers)
- NEP-HPE-2011-07-13 (History & Philosophy of Economics)
- NEP-UPT-2011-07-13 (Utility Models & Prospect Theory)
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.:
- Itzhak Gilboa & David Schmeidler, 2002.
"Inductive Inference: An Axiomatic Approach,"
Levine's Working Paper Archive
391749000000000544, David K. Levine.
- Itzhak Gilboa & David Schmeidler, 2002. "Inductive Inference: An Axiomatic Approach," NajEcon Working Paper Reviews 391749000000000544, www.najecon.org.
- Gilboa, I. & Schmeidler, D., 2001. "Inductive Inference: An Axiomatic Approach," Papers 2001-19, Tel Aviv.
- Gilboa, I. & Schmeidler, D., 1999. "Inductive Inference: an Axiomatic Approach," Papers 29-99, Tel Aviv.
- Itzhak Gilboa & David Schmeidler, 2001. "Inductive Inference: An Axiomatic Approach," Cowles Foundation Discussion Papers 1339, Cowles Foundation for Research in Economics, Yale University.
- Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
- 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.
- Ignacio Palacios-Huerta & Oscar Volij, 2004.
"The Measurement of Intellectual Influence,"
Econometric Society, vol. 72(3), pages 963-977, 05.
- Ignacio Palacios-Huerta & Oscar Volij, 2002. "The Measurement of Intellectual Influence," Economic theory and game theory 015, Oscar Volij.
- Volij, Oscar & Palacios-Huerta, Ignacio, 2004. "The Measurment of Intellectual Influence," Staff General Research Papers 10797, Iowa State University, Department of Economics.
- Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
- Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, vol. 126(1), pages 286-298, January.
- William Thomson, 2001. "On the axiomatic method and its recent applications to game theory and resource allocation," Social Choice and Welfare, Springer, 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.
- 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.
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.