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When Does Evolution Lead to Efficiency in Communication Games?

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  • Karl H. Schlag

    ()
    (Wirtschaftstheoretische Abteilung III, UniversitÙt Bonn, Adenauerallee 24-26, D-53113 Bonn, Germany)

Abstract

The evolutionary selection of outcomes (modelled using the replicator dynamics) in games with costless communication depends crucially on the structural assumptions made on the underlying population. (1) In conflicts between two interacting populations, common interest implies that the set of efficient outcomes is the unique evolutionarily stable set. Lack of common interest prevents sets with minimal stability properties to exist. (2) For conflicts within one population, inefficient evolutionarily stable strategies may exist independent of whether there is common interest or not. This is no longer true when there is a dominant strategy, in this case the efficiency result of the two population setup is recovered.

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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 299.

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Date of creation: Dec 1994
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Handle: RePEc:bon:bonsfb:299

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

Related research

Keywords: Cheap talk; efficiency; common interest; evolutionarily stable set; strict equilibrium set; asymptotic stability; minimal attracting set; replicator dynamics.;

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References

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  1. Warneryd, Karl, 1991. "Evolutionary stability in unanimity games with cheap talk," Economics Letters, Elsevier, vol. 36(4), pages 375-378, August.
  2. A. Cabrales, 2010. "Stochastic Replicator Dynamics," Levine's Working Paper Archive 489, David K. Levine.
  3. Swinkels, J., 1991. "Evolutionary Stability with Equilibrium Entrants," Papers 9, Stanford - Institute for Thoretical Economics.
  4. Karl H. Schlag, 1994. "Evolution in Partnership Games,an Equivalence Result," Discussion Paper Serie B 298, University of Bonn, Germany.
  5. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
  6. K. Schlag, 2010. "Why Imitate, and if so, How? Exploring a Model of Social Evolution," Levine's Working Paper Archive 454, David K. Levine.
  7. repec:att:wimass:9325 is not listed on IDEAS
  8. Schlag,Karl, . "Cheap talk and evolutionary dynamics," Discussion Paper Serie B 242, University of Bonn, Germany.
  9. Akihiko Matsui, 1989. "Cheap Talk and Cooperation in the Society," Discussion Papers 848, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Karl H. Schlag & Dieter Balkenborg, 2001. "Evolutionarily stable sets," International Journal of Game Theory, Springer, vol. 29(4), pages 571-595.
  11. Sobel, Joel, 1993. "Evolutionary stability and efficiency," Economics Letters, Elsevier, vol. 42(2-3), pages 301-312.
  12. Karl Schlag, 1990. "Evolutionary Stability in Games with Equivalent Strategies," Discussion Papers 912, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Bhaskar, V., 1998. "Noisy Communication and the Evolution of Cooperation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 110-131, September.
  14. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
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Citations

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Cited by:
  1. Stefano Demichelis & Jörgen W. Weibull, 2007. "Language, meaning and games: a model of communication, coordination and evolution," Carlo Alberto Notebooks 61, Collegio Carlo Alberto.
  2. Vyrastekova, J., 2002. "Efficiency versus Risk Dominance in an Evolutionary Model with Cheap Talk," Discussion Paper 2002-6, Tilburg University, Center for Economic Research.
  3. Vyrastekova, J., 2002. "Cheap Talk and Spiteful Preferences in Ultimatum Games: Experiments and Evolutionary Rationale," Open Access publications from Tilburg University urn:nbn:nl:ui:12-89223, Tilburg University.
  4. Brian Skyrms, 2003. "Signals, Evolution and the Explanatory Power of Transient Information," Levine's Working Paper Archive 618897000000000799, David K. Levine.
  5. Bhaskar, V., 1995. "On te generic stability of mixed strategies in asymmetric contests," Discussion Paper 1995-30, Tilburg University, Center for Economic Research.
  6. H. Lorne Carmichael & W. Bentley MacLeod, 1997. "Gift Giving and the Evolution of Cooperation," Boston College Working Papers in Economics 338., Boston College Department of Economics.
  7. Sjaak Hurkens & Karl H. Schlag, 1999. "Communication, coordination and efficiency in evolutionary one-population models," Economics Working Papers 387, Department of Economics and Business, Universitat Pompeu Fabra.
  8. Bhaskar, V., 1994. "Noisy communication and the fast evolution of cooperation," Discussion Paper 1994-112, Tilburg University, Center for Economic Research.
  9. Binmore, Ken & Samuelson, Larry, 2006. "The evolution of focal points," Games and Economic Behavior, Elsevier, vol. 55(1), pages 21-42, April.

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