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Weakly unimodal domains, anti-exchange properties, and coalitional strategy-proofness of aggregation rules

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  • Vannucci, Stefano

Abstract

It is shown that simple and coalitional strategy-proofness of an aggregation rule on any rich weakly unimodal domain of an idempotent interval space are equivalent properties if that space satisfies interval anti-exchange, a basic property also shared by a large class of convex geometries including–but not reducing to–trees and Euclidean convex spaces. Therefore, strategy-proof location problems in a vast class of networks fall under the scope of that proposition.

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  • Vannucci, Stefano, 2016. "Weakly unimodal domains, anti-exchange properties, and coalitional strategy-proofness of aggregation rules," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 56-67.
    • Handle: RePEc:eee:matsoc:v:84:y:2016:i:c:p:56-67
    DOI: 10.1016/j.mathsocsci.2016.08.004
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    Cited by:

    1. Stefano Vannucci, 2017. "Tree-Wise Single Peaked Domains," Department of Economics University of Siena 770, Department of Economics, University of Siena.
    2. Stefano Vannucci, 2022. "Agenda manipulation-proofness, stalemates, and redundant elicitation in preference aggregation. Exposing the bright side of Arrow's theorem," Papers 2210.03200, arXiv.org.
    3. Stefano Vannucci, 2017. "Symmetric Consequence Relations and Strategy-Proof Judgment Aggregation," Department of Economics University of Siena 754, Department of Economics, University of Siena.
    4. Vannucci, Stefano, 2020. "Single peaked domains with tree-shaped spectra," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 74-80.
    5. Stefano Vannucci, 2019. "Majority judgment and strategy-proofness: a characterization," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 863-886, September.
    6. Ernesto Savaglio & Stefano Vannucci, 2019. "Strategy-proof aggregation rules and single peakedness in bounded distributive lattices," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 295-327, February.

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