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Non-reactive strategies in decision-form games

Author

Listed:
  • Carfì, David
  • Ricciardello, Angela

Abstract

In this paper we propose a concept of rationalizable solution for two-player decision-form games: the solution by iterated elimination of non-reactive strategies. Several original theorems are proved about this kind of solution. We study the relations between solutions by iterated elimination of non reactive strategies and game equilibria. We present an existence theorem for bistrategies surviving the iterated elimination and an existence theorem for solution by iterated elimination in contracting games. We, also, show that an equilibrium of a game survives iterated elimination of non-reactive strategies. At the end we prove a characterization of solvability by iterated elimination of non-reactive strategies.

Suggested Citation

  • Carfì, David & Ricciardello, Angela, 2009. "Non-reactive strategies in decision-form games," MPRA Paper 29262, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:29262
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    File URL: https://mpra.ub.uni-muenchen.de/29262/1/MPRA_paper_29262.pdf
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    References listed on IDEAS

    as
    1. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. David CARFI & Caterina FICI, 2012. "The Government-Taxpayer Game," Theoretical and Practical Research in the Economic Fields, ASERS Publishing, vol. 3(1), pages 13-25.
    2. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "Sustainability of global feeding.Coopetitive interaction among vegan and non-vegan food firms," MPRA Paper 88400, University Library of Munich, Germany.
    3. Carfì, David, 2009. "Reactivity in decision-form games," MPRA Paper 29001, University Library of Munich, Germany.
    4. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "An environmentally sustainable global economy. A coopetitive model," MPRA Paper 86718, University Library of Munich, Germany.

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    More about this item

    Keywords

    Decision-form games; rationalizable solution; reactivity; equilibrium; iterated elimination of strategies;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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