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Obvious manipulations of tops-only voting rules

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  • Pablo Arribillaga
  • Agustín Bonifacio

Abstract

In a classical voting problem with a finite set of (at least three) alternatives to choose from, we study the manipulation of tops-only and unanimous rules. Since strategy-proofness is impossible to obtain on the universal domain of (strict) preferences, we investigate the weaker concept of non-obvious manipulability (NOM). First, we show that NOM is equivalent to every veto from any agent being a strong veto. Second, we focus on two classes of tops-only rules: (i) (generalized) median voter schemes, and (ii) voting by committees. For each class, we identify which rules satisfy NOM on the universal domain of preferences.

Suggested Citation

  • Pablo Arribillaga & Agustín Bonifacio, 2022. "Obvious manipulations of tops-only voting rules," Asociación Argentina de Economía Política: Working Papers 4536, Asociación Argentina de Economía Política.
    • Handle: RePEc:aep:anales:4536
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    References listed on IDEAS

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    1. Agustín G. Bonifacio & R. Pablo Arribillaga & Marcelo Fernández, 2022. "Regret-free truth-telling voting rules," Asociación Argentina de Economía Política: Working Papers 4543, Asociación Argentina de Economía Política.
    2. Troyan, Peter & Morrill, Thayer, 2020. "Obvious manipulations," Journal of Economic Theory, Elsevier, vol. 185(C).
    3. John A. Weymark, 2008. "Strategy‐Proofness and the Tops‐Only Property," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(1), pages 7-26, February.
    4. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    5. Josué Ortega & Erel Segal-Halevi, 2022. "Obvious manipulations in cake-cutting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 969-988, November.
    6. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    7. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    8. Federico Fioravanti & Massó Jordi, 2022. "False-name-proof and Strategy-proof Voting Rules under Separable Preferences," Working Papers 181, Red Nacional de Investigadores en Economía (RedNIE).
    9. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    10. R. Pablo Arribillaga & Jordi Massó, 2017. "Comparing Voting by Committees According to Their Manipulability," American Economic Journal: Microeconomics, American Economic Association, vol. 9(4), pages 74-107, November.
    11. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Cited by:

    1. SHINOZAKI, Hiroki, 2023. "Non-obvious manipulability and efficiency in package assignment problems with money for agents with income effects and hard budget constraints," Discussion paper series HIAS-E-136, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.

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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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