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Explicit Renegotiation in Repeated Games

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  • Mikhail Safronov
  • Bruno Strulovici

Abstract

Cooperative concepts of renegotiation in repeated games have typically assumed that Pareto-ranked equilibria could not coexist within the same renegotiation-proof set. With explicit renegotiation, however, a proposal to move to a Pareto-superior equilibrium can be deterred by a different continuation equilibrium which harms the proposer and rewards the refuser. This paper introduces a simple protocol of renegotiation for repeated games and defines the stability of social norms and renegotiation-proof outcomes in terms of a simple equilibrium refinement. We provide distinct necessary and sufficient conditions for renegotiation-proofness, which converge to each other as renegotiation frictions become negligible. Renegotiation-proof outcomes always exist and can be all included within a single, most permissive social norm that is straightforward to characterize graphically. JEL Classification: C71, C72, C73, C78

Suggested Citation

  • Mikhail Safronov & Bruno Strulovici, 2014. "Explicit Renegotiation in Repeated Games," Discussion Papers 1575, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1575
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    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1575.pdf
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    References listed on IDEAS

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    1. Asheim, Geir B., 1991. "Extending renegotiation-proofness to infinite horizon games," Games and Economic Behavior, Elsevier, vol. 3(3), pages 278-294, August.
    2. David A. Miller & Joel Watson, 2013. "A Theory of Disagreement in Repeated Games With Bargaining," Econometrica, Econometric Society, vol. 81(6), pages 2303-2350, November.
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    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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