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The evolutionary stability of perfectly competitive behavior

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Author Info
Carlos Alós-Ferrer ()
Ana Ania ()

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Abstract

In a (generalized) symmetric aggregative game, payoffs depend only on individual strategy and an aggregate of all strategies. Players behaving as if they were negligible would optimize taking the aggregate as given. We provide evolutionary and dynamic foundations for such behavior when the game satisfies supermodularity conditions. The results obtained are also useful to characterize evolutionarily stable strategies in a finite population. Copyright Springer-Verlag Berlin/Heidelberg 2005

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File URL: http://hdl.handle.net/10.1007/s00199-004-0474-8
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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 26 (2005)
Issue (Month): 3 (October)
Pages: 497-516
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Handle: RePEc:spr:joecth:v:26:y:2005:i:3:p:497-516

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Related research
Keywords: Aggregative games; Evolutionarily stable strategy; Price-taking behavior; Stochastic stability; Supermodularity.;

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  1. Jean-Philippe Atzenhoffer, 2008. "Evolutionary Stability in Common Pool Resources," Working Papers of BETA 2008-21, Bureau d'Economie Théorique et Appliquée, ULP, Strasbourg. [Downloadable!]
  2. Durieu, Jacques & Haller, Hans & Solal, Philippe, 2005. "Interaction on Hypergraphs," Sonderforschungsbereich 504 Publications 05-34, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  3. 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!]
  4. Alos-Ferrer, Carlos & Kirchsteiger, Georg, 2006. "General Equilibrium and the Emergence of (Non) Market Clearing Trading Institutions," CEPR Discussion Papers 5795, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  5. Wolfgang Leininger, 2006. "Fending off one means fending off all: evolutionary stability in quasi-submodular aggregative games," Economic Theory, Springer, vol. 29(3), pages 713-719, November. [Downloadable!] (restricted)
  6. Wolfgang Leininger, 2004. "Fending off one Means Fending off all: Evolutionary Stability in Submodular Games," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  7. Apesteguia, Jose & Huck, Steffen & Oechssler, Jörg & Weidenholzer, Simon, 2007. "Imitation and the Evolution of Walrasian Behavior: Theoretically Fragile but Behaviorally Robust," Sonderforschungsbereich 504 Publications 07-69, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
    Other versions:
  8. Burkhard C. Schipper, 2005. "The Evolutionary Stability of Optimism, Pessimism and Complete Ignorance," Bonn Econ Discussion Papers bgse35_2005, University of Bonn, Germany. [Downloadable!]
    Other versions:
  9. Protopapas, M.K. & Kosmatopoulos, E.B. & Battaglia, F., 2009. "Coevolutionary Genetic Algorithms for Establishing Nash Equilibrium in Symmetric Cournot Games," MPRA Paper 15375, University Library of Munich, Germany. [Downloadable!]
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