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A characterization of possibility domains in strategic voting

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  • Roy, Souvik
  • Storcken, Ton

Abstract

We consider domains in strategic voting problems which satisfy three properties, namely top-connectedness, pervasiveness, and richness. We prove the following two results for such a domain: (i) it admits non-dictatorial, unanimous, and strategy-proof choice functions if and only if it has an inseparable top-pair, and (ii) it admits anonymous, unanimous, and strategy-proof choice functions only if it does not have any top-circuit. Finally, we establish the practical relevance of our results by applying them in the context of locating a public good or a public bad, preference aggregations, policy making, etc.

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  • Roy, Souvik & Storcken, Ton, 2019. "A characterization of possibility domains in strategic voting," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 46-55.
    • Handle: RePEc:eee:mateco:v:84:y:2019:i:c:p:46-55
    DOI: 10.1016/j.jmateco.2019.06.001
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    Cited by:

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    3. Felix Brand & Patrick Lederer & Sascha Tausch, 2023. "Strategyproof Social Decision Schemes on Super Condorcet Domains," Papers 2302.12140, arXiv.org.
    4. Karmokar, Madhuparna & Roy, Souvik & Storcken, Ton, 2019. "A characterization of possibility domains under Pareto optimality and group strategy-proofness," Economics Letters, Elsevier, vol. 183(C), pages 1-1.
    5. Miho Hong & Semin Kim, 2023. "Unanimity and local incentive compatibility in sparsely connected domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(2), pages 385-411, August.

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