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The structure of two-valued coalitional strategy-proof social choice functions

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  • Basile, Achille
  • Rao, Surekha
  • Bhaskara Rao, K.P.S.

Abstract

The paper investigates the structure of coalitional strategy-proof social choice functions – CSP scfs, for short – whose range is a subset of cardinality two of an arbitrary set A of alternatives. The study is conducted in the case where the voters/agents are allowed to express indifference among elements of A, and the domain of the scfs consists of preference profiles P=(Pv)v∈V over a society V of arbitrary cardinality. A representation formula for the two-valued CSP scfs is obtained that provides the structure of such functions.

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  • 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).
    • Handle: RePEc:eee:mateco:v:95:y:2021:i:c:s0304406821000124
    DOI: 10.1016/j.jmateco.2021.102474
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    References listed on IDEAS

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    1. H. Reiju Mihara, 2000. "Coalitionally strategyproof functions depend only on the most-preferred alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 393-402.
    2. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
    3. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 791-808, November.
    4. Pazner, Elisha A. & Wesley, Eugene, 1977. "Stability of social choices in infinitely large societies," Journal of Economic Theory, Elsevier, vol. 14(2), pages 252-262, April.
    5. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    6. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    7. Ishikawa, Shin & Nakamura, Kenjiro, 1979. "The strategy-proof social choice functions," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 283-295, December.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    9. 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.
    10. Bandhu, Sarvesh & Lahiri, Abhinaba & Pramanik, Anup, 2020. "A characterization of status quo rules in the binary social choice model," Economics Letters, Elsevier, vol. 191(C).
    11. Larsson, Bo & Svensson, Lars-Gunnar, 2006. "Strategy-proof voting on the full preference domain," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 272-287, December.
    12. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, July.
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    Cited by:

    1. 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.
    2. Stergios Athanasoglou & Somouaoga Bonkoungou, 2024. "Sequential unanimity voting rules for binary social choice," Papers 2402.13009, arXiv.org, revised Apr 2024.
    3. 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.

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