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Proportional Payoffs in Legislative Bargaining with Weighted Voting: A Characterization

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  • Montero, Maria

Abstract

This paper examines the relationship between voting weights and expected equilibrium payoffs in legislative bargaining and provides 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. '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

  • Montero, Maria, 2017. "Proportional Payoffs in Legislative Bargaining with Weighted Voting: A Characterization," Quarterly Journal of Political Science, now publishers, vol. 12(3), pages 325-346, October.
    • Handle: RePEc:now:jlqjps:100.00016019
    DOI: 10.1561/100.00016019
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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. 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.
    3. Yang, Guangjing & Sun, Hao, 2024. "Equilibrium analysis in majority-based coalitional bargaining games," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    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. 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.
    6. 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).
    7. Aaron Kamm & Simon Siegenthaler, 2024. "Commitment timing in coalitional bargaining," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 130-154, March.

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