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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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    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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