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Evolutionary stability and Nash equilibrium in finite populations, with an application to price competition

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Ana B. Ania ()

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Abstract

Schaffer (1988) proposed a concept of evolutionary stability for finite-population models that has interesting implications in economic models of evolutionary learning, since it is related to perfectly competitive equilibrium. The present paper explores the relation of this concept to Nash equilibrium in particular classes of games, including constant-sum games, games with weak payoff externalities, and games where imitative decision rules are individually improving. An illustration of the latter is provided in the context of Bertrand oligopoly with homogeneous product which allows for a characterization of the set of evolutionarily stable prices.

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File URL: http://homepage.univie.ac.at/Papers.Econ/RePEc/vie/viennp/vie0601.pdf
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Paper provided by University of Vienna, Department of Economics in its series Vienna Economics Papers with number 0601.

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Date of creation: Nov 2005
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Handle: RePEc:vie:viennp:0601

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Web page: http://www.univie.ac.at/vwl

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Find related papers by JEL classification:
B52 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Institutional; Evolutionary
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
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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  1. Tobias Guse & Burkhard Hehenkamp & Alex Possajennikov, 2008. "On the Equivalence of Nash and Evolutionary Equilibrium in Finite Populations," Discussion Papers 2008-06, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham. [Downloadable!]
  2. Manfred Nermuth, 2008. "The Structure of Equilibrium in an Asset Market with Variable Supply," Vienna Economics Papers 0804, University of Vienna, Department of Economics. [Downloadable!]
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This page was last updated on 2009-12-2.


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