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Computation of equilibrium values in the Baron and Ferejohn bargaining model

Author

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  • Tasos Kalandrakis

    (W. Allen Wallis Institute of Political Economy, 107 Harkness Hall, University of Rochester, Rochester, NY 14627-0158)

Abstract
Computation of exact equilibrium values for n-player divide-the-dollar legislative bargaining games as in Baron and Ferejohn (1989) with general quota voting rules, recognition probabilities, and discount factors, can be achieved by solving at most n bivariate square linear systems of equations. This approach recovers Eraslan's (2002) uniqueness result and relies on a characterization of equilibria in terms of two variables that satisfy a pair of piecewise linear equations.

Suggested Citation

  • Tasos Kalandrakis, 2014. "Computation of equilibrium values in the Baron and Ferejohn bargaining model," Wallis Working Papers WP65, University of Rochester - Wallis Institute of Political Economy.
    • Handle: RePEc:roc:wallis:wp65
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    References listed on IDEAS

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    Cited by:

    1. Miller, Luis & Montero, Maria & Vanberg, Christoph, 2018. "Legislative bargaining with heterogeneous disagreement values: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 107(C), pages 60-92.
    2. 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.
    3. Imai, Haruo, 2024. "Bargaining and rent seeking: Asymmetric equilibria with two investment levels," Economics Letters, Elsevier, vol. 240(C).
    4. 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.
    5. Andrzej Baranski & Ernesto Reuben, 2023. "Competing for Proposal Rights: Theory and Experimental Evidence," Working Papers 20220085, New York University Abu Dhabi, Department of Social Science, revised Mar 2023.
    6. Evdokimov, Kirill S., 2023. "Equality in legislative bargaining," Journal of Economic Theory, Elsevier, vol. 212(C).
    7. Hülya Eraslan, 2016. "Uniqueness of stationary equilibrium payoffs in the Baron–Ferejohn model with risk-averse players," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(1), pages 29-40, March.

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    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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