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Proportional payoffs in legislative bargaining with weighted voting: a characterization

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  • Maria Montero

    (School of Economics, University of Nottingham)

Abstract

We examine the relationship between voting weights and expected equilibrium payoffs in legislative bargaining and provide a necessary and sufficient condition for payoffs to be proportional to weights. This condition has a natural interpretation in terms of the supply and demand for coalition partners. An implication of this condition is that Snyder et al.Â’s (2005) result, that payoffs are proportional to weights in large replicated games, does not necessarily extend to the smaller games that arise in applications. Departures from proportionality may be substantial and may arise even in well-behaved (homogeneous) games.

Suggested Citation

  • Maria Montero, 2016. "Proportional payoffs in legislative bargaining with weighted voting: a characterization," Discussion Papers 2016-02, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  • Handle: RePEc:not:notcdx:2016-02
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    References listed on IDEAS

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    1. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
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    Cited by:

    1. Jiawei Li & Tianxiang Cui & Graham Kendall, 2022. "Equilibrium in a Bargaining Game of Two Sellers and Two Buyers," Mathematics, MDPI, vol. 10(15), pages 1-9, July.
    2. Michel Le Breton & Karine Van Der Straeten, 2017. "Alliances Électorales et Gouvernementales : La Contribution de la Théorie des Jeux Coopératifs à la Science Politique," Revue d'économie politique, Dalloz, vol. 127(4), pages 637-736.
    3. Maaser, Nicola & Paetzel, Fabian & Traub, Stefan, 2019. "Power illusion in coalitional bargaining: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 117(C), pages 433-450.
    4. Xavier Molinero & Maria Serna & Marc Taberner-Ortiz, 2021. "On Weights and Quotas for Weighted Majority Voting Games," Games, MDPI, vol. 12(4), pages 1-25, December.
    5. de Mouzon, Olivier & Laurent, Thibault & Le Breton, Michel, 2020. "One Man, One Vote Part 2: Measurement of Malapportionment and Disproportionality and the Lorenz Curve," TSE Working Papers 20-1089, Toulouse School of Economics (TSE).

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    Keywords

    legislative bargaining; weighted voting; proportional payoffs;
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