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Unbeatable imitation

  • Duersch, Peter
  • Oechssler, Jörg
  • Schipper, Burkhard C.

We show that for many classes of symmetric two-player games, the simple decision rule “imitate-if-better” can hardly be beaten by any strategy. We provide necessary and sufficient conditions for imitation to be unbeatable in the sense that there is no strategy that can exploit imitation as a money pump. In particular, imitation is subject to a money pump if and only if the relative payoff function of the game is of the rock–scissors–paper variety. We also show that a sufficient condition for imitation not being subject to a money pump is that the relative payoff game is a generalized ordinal potential game or a quasiconcave game. Our results apply to many interesting examples of symmetric games including 2×2 games, Cournot duopoly, price competition, public goods games, common pool resource games, and minimum effort coordination games.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 76 (2012)
Issue (Month): 1 ()
Pages: 88-96

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Handle: RePEc:eee:gamebe:v:76:y:2012:i:1:p:88-96
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  17. Peter Duersch & Joerg Oechssler & Burkhard C. Schipper, 2010. "Pure Saddle Points and Symmetric Relative Payoff Games," Working Papers 104, University of California, Davis, Department of Economics.
  18. Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer, vol. 26(3), pages 497-516, October.
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