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Comparing Generalized Median Voter Schemes According to their Manipulability

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  • R. Pablo Arribillaga
  • Jordi Massó

Abstract

We propose a simple criterion to compare generalized median voter schemes according to their manipulability. We identify three nec- essary 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 unilat- erally 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

  • R. Pablo Arribillaga & Jordi Massó, 2014. "Comparing Generalized Median Voter Schemes According to their Manipulability," UFAE and IAE Working Papers 946.14, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:946.14
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    References listed on IDEAS

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    7. Kentaro Hatsumi & Dolors Berga & Shigehiro Serizawa, 2014. "A maximal domain for strategy-proof and no-vetoer rules in the multi-object choice model," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 153-168, February.
    8. Eun Heo, 2013. "Strategy-proof rules for two public goods: double median rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 895-922, October.
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Matias Nunez & Dimitrios Xefteris, 2016. "Unanimous Implementation: A Case For Approval Mechanisms," Working Papers hal-01270275, HAL.
    4. Benoit Decerf & Guillaume Haeringer & Martin Van der Linden, 2024. "Incontestable Assignments," Papers 2401.03598, arXiv.org, revised Feb 2024.
    5. Achuthankutty, Gopakumar & Roy, Souvik, 2017. "Strategy-proof Rules on Partially Single-peaked Domains," MPRA Paper 82267, University Library of Munich, Germany.
    6. 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.
    7. 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.
    8. 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).
    9. 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.
    10. Somouaoga Bonkoungou & Alexander Nesterov, 2020. "Comparing School Choice And College Admission Mechanisms By Their Immunity To Strategic Admissions," HSE Working papers WP BRP 222/EC/2020, National Research University Higher School of Economics.
    11. Matías Núñez & Carlos Pimienta & Dimitrios Xefteris, 2018. "Implementing the Median," Discussion Papers 2018-11, School of Economics, The University of New South Wales.
    12. 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.
    13. Bonkoungou, Somouaoga & Nesterov, Alexander, 2023. "Incentives in matching markets: counting and comparing manipulating agents," Theoretical Economics, Econometric Society, vol. 18(3), July.
    14. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2018. "Strategy-proof location of public facilities," Games and Economic Behavior, Elsevier, vol. 112(C), pages 21-48.
    15. Núñez, Matías & Pimienta, Carlos & Xefteris, Dimitrios, 2022. "On the implementation of the median," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    16. Protopapas, Panos, 2018. "On strategy-proofness and single-peakedness: median-voting over intervals," MPRA Paper 83939, University Library of Munich, Germany.

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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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