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Cyclic dominance in a two-person rock–scissors–paper game

Author

Listed:
  • Liliana Garrido-da-Silva

    (Centro de Matemática da Universidade do Porto (CMUP))

  • Sofia B. S. D. Castro

    (Centro de Matemática da Universidade do Porto (CMUP)
    Centro de Economia e Finanças (Cef.UP))

Abstract

The Rock–scissors–paper game has been studied to account for cyclic behaviour under various game dynamics. We use a two-person parametrised version of this game. The cyclic behaviour is observed near a heteroclinic cycle, in a heteroclinic network, with two nodes such that, at each node, players alternate in winning and losing. This cycle is shown to be as stable as possible for a wide range of parameter values. The parameters are related to the players’ payoff when a tie occurs.

Suggested Citation

  • Liliana Garrido-da-Silva & Sofia B. S. D. Castro, 2020. "Cyclic dominance in a two-person rock–scissors–paper game," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 885-912, September.
    • Handle: RePEc:spr:jogath:v:49:y:2020:i:3:d:10.1007_s00182-020-00706-4
    DOI: 10.1007/s00182-020-00706-4
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Price setting; Rock–scissors–paper game; Cyclic dynamics; Stability;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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