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The character of non-manipulable collective choices between two alternatives

Author

Listed:
  • Achille Basile

    (Università Federico II)

  • K. P. S. Bhaskara Rao

    (Indiana University Northwest)

  • Surekha Rao

    (Indiana University Northwest)

Abstract

We consider classes of non-manipulable social choice functions with range of cardinality at most two within a set of at least two alternatives. We provide the functional form for each of the classes we consider. This functional form is a characterization that explicitly describes how a social choice function of that particular class selects the collective choice corresponding to a profile. We provide a unified formulation of these characterizations using the new concept of “character”. The choice of the character, depending on the class of social choice functions, gives the functional form of all social choice functions of the class.

Suggested Citation

  • Achille Basile & K. P. S. Bhaskara Rao & Surekha Rao, 2025. "The character of non-manipulable collective choices between two alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 64(3), pages 529-555, May.
    • Handle: RePEc:spr:sochwe:v:64:y:2025:i:3:d:10.1007_s00355-024-01546-x
    DOI: 10.1007/s00355-024-01546-x
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Rao, K.P.S. Bhaskara & Basile, Achille & Rao, Surekha, 2021. "On the relation between preference reversal and strategy-proofness," Economics Letters, Elsevier, vol. 206(C).
    4. 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).
    5. Michel Breton & Vera Zaporozhets, 2009. "On the equivalence of coalitional and individual strategy-proofness properties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 287-309, August.
    6. Makoto Hagiwara & Hirofumi Yamamura, 2020. "Upper set rules with binary ranges," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 657-666, April.
    7. 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.
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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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