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Bargaining with non-convexities

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  • Herings, P.J.J.

    (Microeconomics & Public Economics)

  • Predtetchinski, A.

    (Microeconomics & Public Economics)

Abstract

We consider the canonical non-cooperative multilateral bargaining game with a set of feasible payoffs that is closed and comprehensive from below, contains the disagreement point in its interior, and is such that the individually rational payoffs are bounded. We show that a pure stationary subgame perfect equilibrium having the no-delay property exists, even when the space of feasible payoffs is not convex. We also have the converse result that randomization will not be used in this environment in the sense that all stationary subgame perfect equilibria do not involve randomization on the equilibrium path. Nevertheless, mixed strategy profiles can lead to Pareto superior payoffs in the non-convex case.
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Suggested Citation

  • Herings, P.J.J. & Predtetchinski, A., 2009. "Bargaining with non-convexities," Research Memorandum 042, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2009042
    DOI: 10.26481/umamet.2009042
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    References listed on IDEAS

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    Cited by:

    1. Duggan, John, 2017. "Existence of stationary bargaining equilibria," Games and Economic Behavior, Elsevier, vol. 102(C), pages 111-126.
    2. Volker Britz & P. Jean-Jacques Herings & Arkadi Predtetchinski, 2014. "Equilibrium Delay and Non-existence of Equilibrium in Unanimity Bargaining Games," CER-ETH Economics working paper series 14/196, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    3. Alós-Ferrer, Carlos & Ritzberger, Klaus, 2021. "Multi-lateral strategic bargaining without stationarity," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    4. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2015. "Delay, multiplicity, and non-existence of equilibrium in unanimity bargaining games," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 192-202.

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    More about this item

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • 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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