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Supermodularity and complementarity in ecnomics: an elementary survey Author info | Abstract | Publisher info | Download info | Related research | Statistics AMIR, Rabah
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The literature on supermodular optimization and games is surveyed from the perspective of potential users in economics. This methodology provides a new approach for comparative statics based only on critical assumptions, and allows a general analysis of games with strategic complementarities. The results are presented in a simplified yet rigourous manner, without reference to lattice theory, for the special case of onedimensional parameter and actions sets, with the emphasis being onwide accessibility. Detailed applications are presented for well-known models of consumer behavior, monopoly pass-through, Bertrand and Cournot competition, strategic R&D, search and matching. Wherever appropriate, useful tricks for applications and comparative comments are inserted.
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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number
2003104.
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Date of creation: 01 Dec 2003Date of revision:
Handle: RePEc:cor:louvco:2003104Contact details of provider: Postal: Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium) Phone: 32(10)474321 Fax: +32 10474301 Email: Web page: http://www.uclouvain.be/core More information through EDIRC
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Keywords: complementarity ; supermodularity ; comparative statics ; ordinal/cardinal ; strategic complementarity ; oligopoly ; Other versions of this item:
Find related papers by JEL classification: A23 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - Graduate C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
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references Cited by : (explanations , 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.)
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