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Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results

Author

Listed:
  • Salvador Barberà

  • Dolors Berga

  • Bernardo Moreno

Abstract

We define different concepts of group strategy-proofness for social choice functions. We discuss the connections between the defined concepts under different assumptions on their domains of definition. We characterize the social choice functions that satisfy each one of them and whose ranges consist of two alternatives, in terms of two types of basic properties.

Suggested Citation

  • Salvador Barberà & Dolors Berga & Bernardo Moreno, 2010. "Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results," UFAE and IAE Working Papers 853.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:853.10
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    Cited by:

    1. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2022. "Restricted environments and incentive compatibility in interdependent values models," Games and Economic Behavior, Elsevier, vol. 131(C), pages 1-28.
    2. Basile, Achille & Rao, Surekha & Bhaskara Rao, K.P.S., 2021. "The structure of two-valued coalitional strategy-proof social choice functions," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    3. Basile, Achille & Rao, Surekha & Bhaskara Rao, K.P.S., 2022. "Geometry of anonymous binary social choices that are strategy-proof," Mathematical Social Sciences, Elsevier, vol. 116(C), pages 85-91.
    4. Achille Basile & Surekha Rao & K. P. S. Bhaskara Rao, 2020. "The structure of two-valued strategy-proof social choice functions with indifference," Papers 2002.06341, arXiv.org, revised Jul 2020.
    5. Basile, Achille & Rao, Surekha & Bhaskara Rao, K.P.S., 2022. "Anonymous, non-manipulable binary social choice," Games and Economic Behavior, Elsevier, vol. 133(C), pages 138-149.
    6. Achille Basile & Surekha Rao & K. P. S. Bhaskara Rao, 2022. "Binary strategy-proof social choice functions with indifference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 807-826, April.
    7. Manjunath, Vikram, 2012. "Group strategy-proofness and voting between two alternatives," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 239-242.
    8. Vikram Manjunath, 2014. "Efficient and strategy-proof social choice when preferences are single-dipped," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 579-597, August.
    9. Marc Pauly, 2013. "Characterizing referenda with quorums via strategy-proofness," Theory and Decision, Springer, vol. 75(4), pages 581-597, October.
    10. Achille Basile & K. P. S. Bhaskara Rao & Anna De Simone & Ciro Tarantino, 2024. "Isotone Classes of Social Choice Functions with Binary Range," Games, MDPI, vol. 15(6), pages 1-18, December.
    11. Achille Basile & K. P. S. Bhaskara Rao & Surekha Rao, 2022. "The character of non-manipulable collective choices between two alternatives," Papers 2208.01594, arXiv.org, revised Feb 2024.
    12. Stefano Vannucci, 2013. "On two-valued nonsovereign strategy-proof voting rules," Department of Economics University of Siena 672, Department of Economics, University of Siena.
    13. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Domains, ranges and strategy-proofness: the case of single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 335-352, July.
    14. Grisel Ayllón & Diego M. Caramuta, 2016. "Single-dipped preferences with satiation: strong group strategy-proofness and unanimity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 245-264, August.
    15. Anna De Simone & K. P. S. Bhaskara Rao, 2024. "Two-Valued Strongly Group Strategy-Proof Social Choice Functions," Games, MDPI, vol. 15(6), pages 1-9, December.
    16. Qiaoming Han & Donglei Du & Dachuan Xu & Yicheng Xu, 2018. "Approximate efficiency and strategy-proofness for moneyless mechanisms on single-dipped policy domain," Journal of Global Optimization, Springer, vol. 70(4), pages 859-873, April.
    17. Abhinaba Lahiri & Anup Pramanik, 2020. "On strategy-proof social choice between two alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 581-607, April.
    18. Berga, Dolors & Moreno, Bernardo, 2020. "Preference reversal and group strategy-proofness," Economics Letters, Elsevier, vol. 196(C).
    19. Liu, Siwen & Borm, Peter & Norde, Henk, 2023. "Induced Rules for Minimum Cost Spanning Tree Problems : Towards Merge-Proofness and Coalitional Stability," Other publications TiSEM bf366633-5301-4aad-81c8-a, Tilburg University, School of Economics and Management.
    20. Patrick Harless, 2015. "Reaching consensus: solidarity and strategic properties in binary social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 97-121, June.
    21. Anna De Simone & Ciro Tarantino, 2021. "Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives," Mathematics, MDPI, vol. 9(21), pages 1-14, November.
    22. Hans Peters & Souvik Roy & Ton Storcken, 2011. "Strategy-proof voting rules on a multidimensional policy space for a continuum of voters with elliptic preferences," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 485-496, December.
    23. Surekha Rao & Achille Basile & K. P. S. Bhaskara Rao, 2018. "On the ultrafilter representation of coalitionally strategy-proof social choice functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 1-13, April.
    24. Athanasoglou, Stergios & Bonkoungou, Somouaoga & Ehlers, Lars, 2025. "Strategy-proof preference aggregation and the anonymity-neutrality tradeoff," Games and Economic Behavior, Elsevier, vol. 152(C), pages 216-240.
    25. Achille Basile & Anna De Simone & Ciro Tarantino, 2022. "A Note on Binary Strategy-Proof Social Choice Functions," Games, MDPI, vol. 13(6), pages 1-19, November.

    More about this item

    Keywords

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    JEL classification:

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

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