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Stochastic Stability in the Best Shot Game

Author

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  • Leonardo Boncinelli

    (Università degli Studi di Siena)

  • Paolo Pin

    (Università degli Studi di Siena)

Abstract

The best shot game applied to networks is a discrete model of many processes of contribution to local public goods. It has generally a wide multiplicity of equilibria that we refine through stochastic stability. In this paper we show that, depending on how we define perturbations, i.e. the possible mistakes that agents can make, we can obtain very different sets of stochastically stable equilibria. In particular and non-trivially, if we assume that the only possible source of error is that of an agent contributing that stops doing so, then the only stochastically stable equilibria are those in which the maximal number of players contributes.

Suggested Citation

  • Leonardo Boncinelli & Paolo Pin, 2010. "Stochastic Stability in the Best Shot Game," Working Papers 2010.124, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2010.124
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    Keywords

    Networks; Best Shot Game; Stochastic Stability;

    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
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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