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Sequential voting and agenda manipulation

Author

Listed:
  • Barberà, Salvador

    (MOVE, Universitat Autonoma de Barcelona and Barcelona GSE)

  • Gerber, Anke

    (Department of Economics, University of Hamburg)

Abstract

We study the possibilities for agenda manipulation under strategic voting for two prominent sequential voting procedures, the amendment and the successive procedure. We show that a well-known result for tournaments, namely that the successive procedure is (weakly) more manipulable than the amendment procedure at any given preference profile, extends to arbitrary majority quotas. Moreover, our characterizations of the attainable outcomes for arbitrary quotas allow us to compare the possibilities for manipulation across different quotas. It turns out that the simple majority quota maximizes the domain of preference profiles for which neither procedure is manipulable, but at the same time neither the simple majority quota nor any other quota uniformly minimize the scope of manipulation, once this becomes possible. Hence, quite surprisingly, simple majority voting is not necessarily the optimal choice of a society that is concerned about agenda manipulation.

Suggested Citation

  • Barberà, Salvador & Gerber, Anke, 2017. "Sequential voting and agenda manipulation," Theoretical Economics, Econometric Society, vol. 12(1), January.
    • Handle: RePEc:the:publsh:2118
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    References listed on IDEAS

    as
    1. Apesteguia, Jose & Ballester, Miguel A. & Masatlioglu, Yusufcan, 2014. "A foundation for strategic agenda voting," Games and Economic Behavior, Elsevier, vol. 87(C), pages 91-99.
    2. McKelvey, Richard D. & Niemi, Richard G., 1978. "A multistage game representation of sophisticated voting for binary procedures," Journal of Economic Theory, Elsevier, vol. 18(1), pages 1-22, June.
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    Citations

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    Cited by:

    1. Andreas Kleiner & Benny Moldovanu, 2020. "The failure of a Nazi “killer” amendment," Public Choice, Springer, vol. 183(1), pages 133-149, April.
    2. Gershkov, Alex & Kleiner, Andreas & Moldovanu, Benny & Shi, Xianwen, 2023. "Voting with interdependent values: The Condorcet winner," Games and Economic Behavior, Elsevier, vol. 142(C), pages 193-208.
    3. Martin Van der Linden, 2019. "Deferred acceptance is minimally manipulable," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 609-645, June.
    4. Decerf, Benoit & Van der Linden, Martin, 2021. "Manipulability in school choice," Journal of Economic Theory, Elsevier, vol. 197(C).
    5. Fabian Bopp & Wendelin Schnedler & Radovan Vadovic, 2023. "Conformism of the Minorities: Theory and Experiment," Working Papers Dissertations 108, Paderborn University, Faculty of Business Administration and Economics.
    6. Salvador Barberà & Anke Gerber, 2022. "Deciding On What To Decide," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(1), pages 37-61, February.
    7. Arlegi, Ritxar & Dimitrov, Dinko, 2020. "Manipulative agendas in four-candidate elections," Economics Letters, Elsevier, vol. 194(C).

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    More about this item

    Keywords

    Sequential voting; agendas; manipulation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • 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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