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Explicit Renegotiation in Repeated Games

Author

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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. DeMarzo, P., 1988. "Coalitions and Sustainable Social Norms in Repeated Games," Papers 529, Stanford - Institute for Thoretical Economics.
    2. Bergin James & MacLeod W. Bentley, 1993. "Efficiency and Renegotiation in Repeated Games," Journal of Economic Theory, Elsevier, vol. 61(1), pages 42-73, October.
    3. Benoit, Jean-Pierre & Krishna, Vijay, 1993. "Renegotiation in Finitely Repeated Games," Econometrica, Econometric Society, vol. 61(2), pages 303-323, March.
    4. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
    5. David G. Pearce, 1987. "Renegotiation-Proof Equilibria: Collective Rationality and Intertemporal Cooperation," Cowles Foundation Discussion Papers 855, Cowles Foundation for Research in Economics, Yale University.
    6. Asheim, Geir B., 1991. "Extending renegotiation-proofness to infinite horizon games," Games and Economic Behavior, Elsevier, vol. 3(3), pages 278-294, August.
    7. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
    8. 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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    Cited by:

    1. Joel Watson & David A. Miller & Trond E. Olsen, 2020. "Relational Contracting, Negotiation, and External Enforcement," American Economic Review, American Economic Association, vol. 110(7), pages 2153-2197, July.
    2. Goldlücke, Susanne & Kranz, Sebastian, 2017. "Reconciliating Relational Contracting and Hold-up: A Model of Repeated Negotiations," CEPR Discussion Papers 12540, C.E.P.R. Discussion Papers.

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    More about this item

    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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