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Mixed equilibriums in a three-candidate spatial model with candidate valence

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  • Dimitrios Xefteris

Abstract

We study a spatial model of electoral competition among three office-motivated candidates of unequal valence (one advantaged and two equally disadvantaged candidates) under majority rule assuming that candidates are uncertain about the voters’ policy preferences and that the policy space consists of three alternatives (one at each extreme of the linear policy spectrum and one in the center) and we characterize mixed strategy Nash equilibriums of the game. Counterintuitively, we show that (a) when uncertainty about voters’ preferences is high, the advantaged candidate might choose in equilibrium a more extremist strategy than the disadvantaged candidates and that (b) when uncertainty about voters’ preferences is low, there exist equilibriums in which one of the disadvantaged candidates has a larger probability of election than the disadvantaged candidate of the equivalent two-candidate (one advantaged and one disadvantaged candidate) case. Copyright Springer Science+Business Media, LLC 2014

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  • Dimitrios Xefteris, 2014. "Mixed equilibriums in a three-candidate spatial model with candidate valence," Public Choice, Springer, vol. 158(1), pages 101-120, January.
    • Handle: RePEc:kap:pubcho:v:158:y:2014:i:1:p:101-120
    DOI: 10.1007/s11127-012-9948-6
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    Cited by:

    1. Fabian Gouret, 2021. "Empirical foundation of valence using Aldrich–McKelvey scaling," Review of Economic Design, Springer;Society for Economic Design, vol. 25(3), pages 177-226, September.
    2. Alexander Shapoval & Shlomo Weber & Alexei Zakharov, 2019. "Valence influence in electoral competition with rank objectives," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 713-753, September.
    3. Dimitrios Xefteris, 2018. "Candidate valence in a spatial model with entry," Public Choice, Springer, vol. 176(3), pages 341-359, September.
    4. Paul Redmond, 2017. "Incumbent-challenger and open-seat elections in a spatial model of political competition," Public Choice, Springer, vol. 170(1), pages 79-97, January.
    5. Denter, Philipp, 2021. "Valence, complementarities, and political polarization," Games and Economic Behavior, Elsevier, vol. 128(C), pages 39-57.
    6. Correa-Lopera, Guadalupe, 2024. "Implementing direct democracy via representation," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 85-92.

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