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Reactivity in decision-form games

Author

Listed:
  • Carfì, David

Abstract

In this paper we introduce the reactivity in decision-form games. The concept of reactivity allows us to give a natural concept of rationalizable solution for decision-form games: the solubility by elimination of sub- reactive strategies. This concept of solubility is less demanding than the concept of solubility by elimination of non-reactive strategies (introduced by the author and already studied and applied to economic games). In the work we define the concept of super-reactivity, the preorder of re- activity and, after a characterization of super-reactivity, we are induced to give the concepts of maximal-reactivity and sub-reactivity; the latter definition permits to introduce the iterated elimination of sub-reactive strategies and the solubility of a decision-form game by iterated elimina- tion of sub-reactive strategies. In the paper several examples are devel- oped. Moreover, in the case of normal-form games, the relation between reactivity and dominance is completely revealed.

Suggested Citation

  • Carfì, David, 2009. "Reactivity in decision-form games," MPRA Paper 29001, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:29001
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    References listed on IDEAS

    as
    1. Carfì, David & Ricciardello, Angela, 2009. "Non-reactive strategies in decision-form games," MPRA Paper 29262, University Library of Munich, Germany.
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    More about this item

    Keywords

    Decision form games; reactivity; dominance;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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