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Recontracting and stochastic stability in cooperative games

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  • Newton, Jonathan

Abstract

An evolutionary style model of recontracting is given which guarantees convergence to core allocations of an underlying cooperative game. Unlike its predecessors in the evolution/learning literature, this is achieved without assumptions of convexity of the characteristic function or a reliance on random errors. The stochastic stability properties of the model are then examined and it is shown that stochastically stable states solve a simple and intuitive minimization problem which reduces to maximizing a Rawlsian SWF for a common class of utility functions. In contrast to previous analyses, the stochastically stable state is unique for a broad class of utility functions.

Suggested Citation

  • Newton, Jonathan, 2012. "Recontracting and stochastic stability in cooperative games," Journal of Economic Theory, Elsevier, vol. 147(1), pages 364-381.
    • Handle: RePEc:eee:jetheo:v:147:y:2012:i:1:p:364-381
    DOI: 10.1016/j.jet.2011.11.007
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    References listed on IDEAS

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    1. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
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    More about this item

    Keywords

    Bargaining; Learning; Core; Convexity; Coalitions;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • 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
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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