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Legislative bargaining with heterogeneous disagreement values: Theory and experiments

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  • Miller, Luis
  • Montero, Maria
  • Vanberg, Christoph

Abstract

We study a legislative bargaining game in which failure to agree in a given round may result in a breakdown of negotiations. In that case, each player receives an exogenous ‘disagreement value’. We characterize the set of stationary subgame perfect equilibria under all q-majority rules. Under unanimity rule, equilibrium payoffs are strictly increasing in disagreement values. Under all less-than-unanimity rules, expected payoffs are either decreasing or first increasing and then decreasing in disagreement values. We conduct experiments involving three players using majority and unanimity rule, finding qualitative support for several, but not all, of our main predictions. Having a high disagreement value is indeed an advantage under unanimity rule. Under majority rule, the player with the highest disagreement value is more likely to be excluded, but this does not consistently result in a lower average payoff.

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  • 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.
  • Handle: RePEc:eee:gamebe:v:107:y:2018:i:c:p:60-92
    DOI: 10.1016/j.geb.2017.11.003
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    2. Andrzej Baranski & Caleb A. Cox, 2023. "Communication in multilateral bargaining with joint production," Experimental Economics, Springer;Economic Science Association, vol. 26(1), pages 55-77, March.
    3. Diekert, Florian & Eymess, Tillmann, 2022. "Changing Collective Action: Norm-Nudges and Team Decisions," Working Papers 0709, University of Heidelberg, Department of Economics.
    4. Lippert, Steffen & Tremewan, James, 2021. "Pledge-and-review in the laboratory," Games and Economic Behavior, Elsevier, vol. 130(C), pages 179-195.
    5. Andrzej Baranski & Rebecca Morton, 2022. "The determinants of multilateral bargaining: a comprehensive analysis of Baron and Ferejohn majoritarian bargaining experiments," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1079-1108, September.
    6. 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.
    7. Hakan Genc & Serkan Kucuksenel, 2019. "Bargaining in legislatures over private and public goods with endogenous recognition," Public Choice, Springer, vol. 181(3), pages 351-373, December.
    8. Anita Gantner & Regine Oexl, 2023. "Respecting entitlements in legislative bargaining: A matter of preference or necessity?," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 56(2), pages 490-519, May.
    9. 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.
    10. Duk Gyoo Kim & Sang‐Hyun Kim, 2022. "Multilateral bargaining with proposer selection contest," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(1), pages 38-73, February.
    11. Miettinen, Topi & Vanberg, Christoph, 2020. "Commitment and Conflict in Multilateral Bargaining," Working Papers 0679, University of Heidelberg, Department of Economics.
    12. Regine Oexl & Anita Gantner, 2021. "Respecting Entitlements in Legislative Bargaining - A Matter of Preference or Necessity?," Working Papers 2021-25, Faculty of Economics and Statistics, Universität Innsbruck.
    13. Tsakas, Nikolas & Xefteris, Dimitrios, 2021. "Stress-testing the runoff rule in the laboratory," Games and Economic Behavior, Elsevier, vol. 128(C), pages 18-38.
    14. Anna Merkel & Christoph Vanberg, 2020. "Legislative bargaining with costly communication," Public Choice, Springer, vol. 183(1), pages 3-27, April.
    15. Andrzej Baranski & Caleb A. Cox, 2019. "Communication in Multilateral Bargaining with Joint Production," Working Papers 20190032, New York University Abu Dhabi, Department of Social Science, revised Nov 2019.
    16. Houba, Harold & Li, Duozhe & Wen, Quan, 2022. "Bargaining with costly competition for the right to propose," Journal of Mathematical Economics, Elsevier, vol. 98(C).

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    More about this item

    Keywords

    Legislative bargaining; Majority rule; Unanimity rule; Risk of breakdown; Experiments;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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