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On the uniqueness of the yolk

Author

Listed:
  • Mathieu Martin

    (THEMA University of Cergy-Pontoise)

  • Zéphirin Nganmeni

    (THEMA University of Cergy-Pontoise)

  • Craig A. Tovey

    (Georgia Institute of Technology)

Abstract

The yolk, an important concept of spatial majority voting theory, is assumed to be unique when the number of individuals is odd. We prove that this claim is true in $$ {\mathbb {R}} ^{2}$$ R 2 but false in $$ {\mathbb {R}} ^{3}$$ R 3 , and discuss the differing implications of non-uniqueness from the normative and predictive perspectives.

Suggested Citation

  • Mathieu Martin & Zéphirin Nganmeni & Craig A. Tovey, 2016. "On the uniqueness of the yolk," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 511-518, October.
    • Handle: RePEc:spr:sochwe:v:47:y:2016:i:3:d:10.1007_s00355-016-0979-7
    DOI: 10.1007/s00355-016-0979-7
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    References listed on IDEAS

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    5. Craig Tovey, 2010. "The probability of majority rule instability in the 2D euclidean model with an even number of voters," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(4), pages 705-708, October.
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    8. Tovey, Craig A., 2010. "The instability of instability of centered distributions," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 53-73, January.
    9. Rubinstein, Ariel, 1979. "A Note about the "Nowhere Denseness" of Societies Having an Equilibrium under Majority Rule," Econometrica, Econometric Society, vol. 47(2), pages 511-514, March.
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    Cited by:

    1. Tasos Kalandrakis, 2022. "Generalized medians and a political center," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 301-319, February.
    2. Mathieu Martin & Zéphirin Nganmeni & Ashley Piggins & Élise F. Tchouante, 2022. "Pure-strategy Nash equilibrium in the spatial model with valence: existence and characterization," Public Choice, Springer, vol. 190(3), pages 301-316, March.
    3. Mathieu Martin & Zéphirin Nganmeni & Craig A. Tovey, 2019. "Dominance in Spatial Voting with Imprecise Ideals: A New Characterization of the Yolk," THEMA Working Papers 2019-02, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    4. Mathieu Martin & Zéphirin Nganmeni & Craig A. Tovey, 2021. "Dominance in spatial voting with imprecise ideals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 181-195, July.
    5. Knudson, Mathew, 2020. "Two candidate competition on differentiated policy sets," Games and Economic Behavior, Elsevier, vol. 121(C), pages 413-434.

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