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The character of non-manipulable collective choices between two alternatives

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Listed:
  • Achille Basile
  • K. P. S. Bhaskara Rao
  • Surekha Rao

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.

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  • 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.
    • Handle: RePEc:arx:papers:2208.01594
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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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