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Comparing generalized median voter schemes according to their manipulability

Author

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  • Arribillaga, R. Pablo

    (Instituto de Matemática Aplicada San Luis, Universidad Nacional de San Luis and CONICET)

  • Massó, Jordi

    (Departament d'Economía i Història Econòmica, Universitat Autònoma de Barcelona and Barcelona GSE)

Abstract

We propose a simple criterion to compare generalized median voter schemes according to their manipulability. We identify three necessary and sufficient conditions for the comparability of two generalized median voter schemes in terms of their vulnerability to manipulation. The three conditions are stated using the two associated families of monotonic fixed ballots and depend very much on the power each agent has to unilaterally change the outcomes of the two generalized median voter schemes. We perform a specific analysis of all median voter schemes, the anonymous subfamily of generalized median voter schemes.

Suggested Citation

  • Arribillaga, R. Pablo & Massó, Jordi, 2016. "Comparing generalized median voter schemes according to their manipulability," Theoretical Economics, Econometric Society, vol. 11(2), May.
    • Handle: RePEc:the:publsh:1910
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    References listed on IDEAS

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    Cited by:

    1. Chatterji, Shurojit & Zeng, Huaxia, 2018. "On random social choice functions with the tops-only property," Games and Economic Behavior, Elsevier, vol. 109(C), pages 413-435.
    2. Atila Abdulkadiroglu & Yeon-Koo Che & Parag A. Pathak & Alvin E. Roth & Olivier Tercieux, 2017. "Minimizing Justified Envy in School Choice: The Design of New Orleans' OneApp," NBER Working Papers 23265, National Bureau of Economic Research, Inc.
    3. Bettina Klaus & Panos Protopapas, 2020. "On strategy-proofness and single-peakedness: median-voting over intervals," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1059-1080, December.
    4. Somouaoga Bonkoungou & Alexander S. Nesterov, 2020. "Comparing School Choice and College Admission Mechanisms By Their Immunity to Strategic Admissions," Papers 2001.06166, arXiv.org, revised Jan 2020.
    5. Bonifacio, Agustín G., 2024. "Trade-off between manipulability and dictatorial power: A proof of the Gibbard–Satterthwaite Theorem," Mathematical Social Sciences, Elsevier, vol. 130(C), pages 1-3.
    6. Bonkoungou, Somouaoga & Nesterov, Alexander, 2023. "Incentives in matching markets: counting and comparing manipulating agents," Theoretical Economics, Econometric Society, vol. 18(3), July.
    7. Gopakumar Achuthankutty & Souvik Roy, 2018. "On single-peaked domains and min–max rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 753-772, December.
    8. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2018. "Strategy-proof location of public facilities," Games and Economic Behavior, Elsevier, vol. 112(C), pages 21-48.
    9. Protopapas, Panos, 2018. "On strategy-proofness and single-peakedness: median-voting over intervals," MPRA Paper 83939, University Library of Munich, Germany.
    10. Achuthankutty, Gopakumar & Roy, Souvik, 2017. "Strategy-proof Rules on Partially Single-peaked Domains," MPRA Paper 82267, University Library of Munich, Germany.
    11. 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.
    12. Núñez, Matías & Pimienta, Carlos & Xefteris, Dimitrios, 2022. "On the implementation of the median," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    13. Matias Nunez & Dimitrios Xefteris, 2016. "Unanimous Implementation: A Case For Approval Mechanisms," Working Papers hal-01270275, HAL.
    14. DECERF, Benoit & VAN DER LINDEN, Martin, 2016. "A criterion to compare mechanisms when solutions are not unique, with applications to constrained school choice," LIDAM Discussion Papers CORE 2016033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Benoit Decerf & Guillaume Haeringer & Martin Van der Linden, 2024. "Incontestable Assignments," Papers 2401.03598, arXiv.org, revised Feb 2024.
    16. Matías Núñez & Carlos Pimienta & Dimitrios Xefteris, 2018. "Implementing the Median," Discussion Papers 2018-11, School of Economics, The University of New South Wales.

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    More about this item

    Keywords

    Generalized median voting schemes; strategy-proofness; anonymity;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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