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On the stability of evolutionary dynamics in games with incomplete information

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  • Amann, Erwin
  • Possajennikov, Alex

Abstract

In an interaction it is possible that one agent has features it is aware of but the opponent is not. These features (e.g. cost, valuation or fighting ability) are referred to as the agent's type. The paper compares two models of evolution in symmetric situations of this kind. In one model the type of an agent is fixed and evolution works on strategies of types. In the other model every agent adopts with fixed probabilities both types, and type-contingent strategies are exposed to evolution. It is shown that the dynamic stability properties of equilibria may differ even when there are only two types and two strategies. However, in this case the dynamic stability properties are generically the same when the payoff of a player does not depend directly on the type of the opponent. Examples illustrating these results are provided.

Suggested Citation

  • Amann, Erwin & Possajennikov, Alex, 2009. "On the stability of evolutionary dynamics in games with incomplete information," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 310-321, November.
    • Handle: RePEc:eee:matsoc:v:58:y:2009:i:3:p:310-321
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    References listed on IDEAS

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    Cited by:

    1. Li, Junqiang & Ren, Hao & Wang, Mingyue, 2021. "How to escape the dilemma of charging infrastructure construction? A multi-sectorial stochastic evolutionary game model," Energy, Elsevier, vol. 231(C).
    2. Leininger, Wolfgang & Moghadam, Hamed Markazi, 2018. "Asymmetric oligopoly and evolutionary stability," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 1-9.
    3. Yi Tao & Jing-Jing Xu & Cong Li & Ross Cressman, 2014. "Dominance Hierarchies Induce a Population’s Full Cooperation," Dynamic Games and Applications, Springer, vol. 4(4), pages 432-447, December.
    4. Jean Rabanal & Daniel Friedman, 2014. "Incomplete Information, Dynamic Stability and the Evolution of Preferences: Two Examples," Dynamic Games and Applications, Springer, vol. 4(4), pages 448-467, December.
    5. Ennio Bilancini & Leonardo Boncinelli & Jiabin Wu, 2016. "The Interplay of Cultural Aversion and Assortativity for the Emergence of Cooperation," Center for Economic Research (RECent) 121, University of Modena and Reggio E., Dept. of Economics "Marco Biagi".
    6. Ennio Bilancini & Leonardo Boncinelli & Jiabin Wuz, 2016. "The Interplay of Cultural Aversion and Assortativity for the Emergence of Cooperation," Department of Economics 0084, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    7. Bilancini, Ennio & Boncinelli, Leonardo & Wu, Jiabin, 2018. "The interplay of cultural intolerance and action-assortativity for the emergence of cooperation and homophily," European Economic Review, Elsevier, vol. 102(C), pages 1-18.

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