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Evolutionary And Dynamic Stability In Symmetric Evolutionary Games With Two Independent Decisions

Author

Listed:
  • ROSS CRESSMAN

    (Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5, Canada)

  • ANDREA GAUNERSDORFER

    (Department of Business Studies, University of Vienna, Brünner Straße 72, A-1210 Vienna, Austria)

  • JEAN-FRANÇOIS WEN

    (Department of Economics, University of Calgary, Calgary, Alberta, Canada T2N 1N4, Canada)

Abstract

A two-decision competition model is developed where players may choose different strategies at different decisions knowing that their payoff at one decision is not affected by their performance at the other. It is shown that both static solution concepts of Nash and evolutionarily stable equilibria for the two-decision model are directly related to those of the separate decisions. Furthermore, if there are at most two pure strategies at each decision, dynamic stability can also be characterised through a separate analysis of each decision. However, when there are more than two strategies, this last statement is not always true.

Suggested Citation

  • Ross Cressman & Andrea Gaunersdorfer & Jean-François Wen, 2000. "Evolutionary And Dynamic Stability In Symmetric Evolutionary Games With Two Independent Decisions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 67-81.
    • Handle: RePEc:wsi:igtrxx:v:02:y:2000:i:01:n:s0219198900000081
    DOI: 10.1142/S0219198900000081
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    Citations

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    Cited by:

    1. 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.
    2. Qi Su & Lei Zhou & Long Wang, 2019. "Evolutionary multiplayer games on graphs with edge diversity," PLOS Computational Biology, Public Library of Science, vol. 15(4), pages 1-22, April.
    3. Erwin Amann & Alex Possajennikov, 2004. "Evolution in Symmetric Incomplete Information Games," Game Theory and Information 0409004, University Library of Munich, Germany.
    4. Chaitanya S. Gokhale & Marcus Frean & Paul B. Rainey, 2023. "Eco-evolutionary Logic of Mutualisms," Dynamic Games and Applications, Springer, vol. 13(4), pages 1066-1087, December.
    5. Wu, Yu’e & Zhang, Zhipeng & Wang, Xinyu & Yan, Ming & Zhang, Qingfeng & Zhang, Shuhua, 2021. "Evolution of cooperation in the multigame on a two-layer square network," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    6. Ulrich Berger, 2003. "A general model of best response adaptation," Game Theory and Information 0303008, University Library of Munich, Germany.
    7. Sawa, Ryoji & Zusai, Dai, 2019. "Evolutionary dynamics in multitasking environments," Journal of Economic Behavior & Organization, Elsevier, vol. 166(C), pages 288-308.

    More about this item

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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