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Majority relation and median representative ordering

Author

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  • Gabrielle Demange

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper presents results on the transitivity of the majority relation and the existence of a median representative ordering. Building on the notion of intermediate preferences indexed by a median graph, the analysis extends well-known results obtained when the underlying graph is a line. In contrast with other types of restrictions such as single-peakedness, intermediate pref- erences allow for a clear distinction between restrictions on the set of preferences characteristics and those on the set of alternatives.

Suggested Citation

  • Gabrielle Demange, 2012. "Majority relation and median representative ordering," Post-Print halshs-00670854, HAL.
    • Handle: RePEc:hal:journl:halshs-00670854
    DOI: 10.1007/s13209-011-0052-9
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00670854v1
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    Cited by:

    1. Bhattacharya, Mihir & Gravel, Nicolas, 2021. "Is the preference of the majority representative ?," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 87-94.
    2. Puppe, Clemens, 2018. "The single-peaked domain revisited: A simple global characterization," Journal of Economic Theory, Elsevier, vol. 176(C), pages 55-80.
    3. Gabrielle Demange, 2017. "The stability of group formation," Revue d'économie politique, Dalloz, vol. 127(4), pages 495-516.
    4. Demange, Gabrielle, 2024. "Stable outcomes in simple cooperative games," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    5. Clemens Puppe & Arkadii Slinko, 2019. "Condorcet domains, median graphs and the single-crossing property," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 285-318, February.
    6. Slinko, Arkadii, 2019. "Condorcet domains satisfying Arrow’s single-peakedness," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 166-175.
    7. Mihir Bhattacharya & Nicolas Gravel, 2019. "Is the Preference of the Majority Representative?," Working Papers 1028, Ashoka University, Department of Economics.
    8. Slinko, Arkadii & Wu, Qinggong & Wu, Xingye, 2021. "A characterization of preference domains that are single-crossing and maximal Condorcet," Economics Letters, Elsevier, vol. 204(C).
    9. Berno Buechel, 2014. "Condorcet winners on median spaces," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(3), pages 735-750, March.

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