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Simple Markovian equilibria in dynamic spatial legislative bargaining

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  • Zapal, Jan

Abstract

The paper proves, by construction, the existence of Markovian equilibria in a dynamic spatial legislative bargaining model. Players bargain over policies in an infinite horizon. In each period, a sequential protocol of proposal-making and voting, with random proposer recognitions and a simple majority, produces a policy that becomes the next period's status-quo; the status-quo is endogenous. The construction relies on simple strategies determined by strategic bliss points computed by the algorithm we provide. A strategic bliss point, the dynamic utility ideal, is a moderate policy relative to a bliss point, the static utility ideal. Moderation is strategic and germane to the dynamic environment; players moderate in order to constrain the future proposals of opponents. Moderation is a strategic substitute; when a player's opponents do moderate, she does not, and when they do not moderate, she does. We provide conditions under which the simple strategies induced by the strategic bliss points computed by the algorithm deliver a Stationary Markov Perfect equilibrium, and we prove its existence in generic games with impatient players and in symmetric games. Because the algorithm constructs all equilibria in simple strategies, we provide their general characterization, and we show their generic uniqueness.

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  • Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
  • Handle: RePEc:eee:poleco:v:63:y:2020:i:c:s0176268018303082
    DOI: 10.1016/j.ejpoleco.2019.101816
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    Cited by:

    1. Zapal, Jan, 2016. "Markovian equilibria in dynamic spatial legislative bargaining: Existence with three players," Games and Economic Behavior, Elsevier, vol. 98(C), pages 235-242.
    2. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    3. Carmen Beviá & Luis Corchón & Antonio Romero-Medina, 2017. "Relinquishing power, exploitation and political unemployment in democratic organizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 735-753, December.

    More about this item

    Keywords

    Endogenous status-quo; Dynamic bargaining; Legislative bargaining; Spatial collective choice; Equilibrium existence;

    JEL classification:

    • 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
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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