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Democracy for Polarized Committees: The Tale of Blotto's Lieutenants

Author

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  • Alessandra Casella

    (CEPR - Center for Economic Policy Research - CEPR, Columbia University [New York], NBER - The National Bureau of Economic Research)

  • Jean-François Laslier

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Antonin Macé

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

In a polarized committee, majority voting disenfranchises the minority. By allowing voters to spend freely a fixed budget of votes over multiple issues, Storable Votes restores some minority power. We study a model of Storable Votes that highlights the hide-and-seek nature of the strategic game. With communication, the game replicates a classic Colonel Blotto game with asymmetric forces. We call the game without communication a decentralized Blotto game. We characterize theoretical results for this case and test both versions of the game in the laboratory. We find that, despite subjects deviating from equilibrium strategies, the minority wins as frequently as theory predicts. Because subjects understand the logic of the game – minority voters must concentrate votes unpredictably – the exact choices are of secondary importance. The result is an endorsement of the robustness of the voting rule.

Suggested Citation

  • Alessandra Casella & Jean-François Laslier & Antonin Macé, 2016. "Democracy for Polarized Committees: The Tale of Blotto's Lieutenants," PSE Working Papers halshs-01287795, HAL.
  • Handle: RePEc:hal:psewpa:halshs-01287795
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01287795
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    References listed on IDEAS

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    Cited by:

    1. Daniel J. Smith, 2020. "Turn-taking in office," Constitutional Political Economy, Springer, vol. 31(2), pages 205-226, June.
    2. Alessandra Casella & Antonin Macé, 2021. "Does Vote Trading Improve Welfare?," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 57-86, August.
    3. Fehrler, Sebastian & Schneider, Maik T., 2021. "Buying supermajorities in the lab," Games and Economic Behavior, Elsevier, vol. 127(C), pages 113-154.
    4. Caroline Thomas, 2018. "N-dimensional Blotto game with heterogeneous battlefield values," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 509-544, May.
    5. Hans Gersbach, 2022. "New Forms of Democracy," CESifo Working Paper Series 10134, CESifo.

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    More about this item

    Keywords

    polarization; Colonel Blotto; tyranny of the majority; committees; Storable Votes;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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