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Costless Delay in Negotiations

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  • P. Jean-Jacques Herings

    (Maastricht University, the Netherlands)

  • Harold Houba

    (VU University Amsterdam, the Netherlands)

Abstract

We study strategic negotiation models featuring costless delay, general recognition procedures, endogenous voting orders, and finite sets of alternatives. Two examples show: 1. non-existence of stationary subgame-perfect equilibrium (SSPE). 2. the recursive equations and optimality conditions are necessary for SSPE but insufficient because these equations can be singular. Strategy profiles excluding perpetual disagreement guarantee non-singularity. The necessary and sufficient conditions for existence of stationary best responses additionally require either an equalizing condition or a minimality condition. Quasi SSPE only satisfy the recursive equations and optimality conditions. These always exist and are SSPE if either all equalizing conditions or all minimality conditions hold.

Suggested Citation

  • P. Jean-Jacques Herings & Harold Houba, 2015. "Costless Delay in Negotiations," Tinbergen Institute Discussion Papers 15-010/II, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20150010
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    Cited by:

    1. P. Jean-Jacques Herings & Harold Houba, 2010. "The Condorcet Paradox Revisited," Tinbergen Institute Discussion Papers 10-026/1, Tinbergen Institute.

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    More about this item

    Keywords

    Bargaining; existence; one-stage-deviation principle; dynamic programming; recursive equations; Markov Decision Theory;
    All these keywords.

    JEL classification:

    • 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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