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Subgame Perfect Equilibrium in a Bargaining Model with Deterministic Procedures

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  • Mao, Liang

Abstract

Two players, $A$ and $B$, bargain to divide a perfectly divisible pie. In a bargaining model with constant discount factors, $\delta_A$ and $\delta_B$, we extend \cite{Rubinstein82}'s alternating offers procedures to more general deterministic procedures so that any player in any period can be the proposer. We show that each bargaining game with a deterministic procedure has a unique subgame perfect equilibrium (SPE) payoff outcome, which is efficient. Conversely, each efficient division of the pie can be supported as an SPE outcome by some procedure if $\delta_A+\delta_B\geq 1$, while almost no division can ever be supported in SPE if $\delta_A+\delta_B

Suggested Citation

  • Mao, Liang, 2015. "Subgame Perfect Equilibrium in a Bargaining Model with Deterministic Procedures," MPRA Paper 67859, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:67859
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    References listed on IDEAS

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    More about this item

    Keywords

    noncooperative bargaining; subgame perfect equilibrium; bargaining procedure;
    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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