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Equilibrium Delay and Non-existence of Equilibrium in Unanimity Bargaining Games

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Abstract

We consider a class of perfect information bargaining games with unanimity acceptance rule. The proposer and the order of responding players are determined by the state that evolves stochastically over time. The probability distribution of the state in the next period is determined jointly by the current state and the identity of the player who rejected the current proposal. This protocol encompasses a vast number of special cases studied in the literature. We show that subgame perfect equilibria in pure stationary strategies need not exist. When such equilibria do exist, they may exhibit delay. Limit equilibria (as the players become infinitely patient) need not be unique.

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  • 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.
    • Handle: RePEc:eth:wpswif:14-196
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    9. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2014. "On the convergence to the Nash bargaining solution for action-dependent bargaining protocols," Games and Economic Behavior, Elsevier, vol. 86(C), pages 178-183.
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    More about this item

    Keywords

    Strategic Bargaining; Subgame Perfect Equilibrium; Stationary Strategies; Nash Bargaining Solution.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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