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Electoral competition in 2-dimensional ideology space with unidimensional commitment

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  • Marcin Dziubiński
  • Jaideep Roy

Abstract

We study a model of political competition between two candidates with two orthogonal issues, where candidates are office motivated and committed to a particular position in one of the dimensions, while having the freedom to select (credibly) any position on the other dimension. We analyse two settings: a homogeneous one, where both candidates are committed to the same dimension and a heterogeneous one, where each candidate is committed to a different dimension. We characterise and give necessary and suffcient conditions for existence of convergent and divergent Nash equilibria for distributions with a non-empty and an empty core. We identify a special point in the ideology space which we call a strict median, existence of which is strictly related to existence of divergent Nash equilibria. A central conclusion of our analysis is that for divergent equilibria, strong extremism (or differentiation) seems to be an important equilibrium feature.
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  • Marcin Dziubiński & Jaideep Roy, 2011. "Electoral competition in 2-dimensional ideology space with unidimensional commitment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(1), pages 1-24, January.
    • Handle: RePEc:spr:sochwe:v:36:y:2011:i:1:p:1-24
    DOI: 10.1007/s00355-010-0460-y
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    References listed on IDEAS

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    1. Owen, G & Shapley, L S, 1989. "Optimal Location of Candidates in Ideological Space," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 339-356.
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    Cited by:

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    2. Aragonès, Enriqueta & Xefteris, Dimitrios, 2017. "Voters' private valuation of candidates' quality," Journal of Public Economics, Elsevier, vol. 156(C), pages 121-130.
    3. Xefteris, Dimitrios, 2017. "Multidimensional electoral competition between differentiated candidates," Games and Economic Behavior, Elsevier, vol. 105(C), pages 112-121.
    4. Bernard Grofman & Orestis Troumpounis & Dimitrios Xefteris, 2016. "Electoral competition with primaries and quality asymmetries," Working Papers 135286117, Lancaster University Management School, Economics Department.
    5. Konstantinos Matakos & Dimitrios Xefteris, 2017. "When extremes meet: Redistribution in a multiparty model with differentiated parties," Journal of Theoretical Politics, , vol. 29(4), pages 546-577, October.
    6. Konstantinos Matakos & Dimitrios Xefteris, 2017. "Divide and rule: redistribution in a model with differentiated candidates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 867-902, April.
    7. Stylianos Papageorgiou & Dimitrios Xefteris, 2021. "A Collective Investment in Financial Literacy by Heterogeneous Households," University of Cyprus Working Papers in Economics 04-2021, University of Cyprus Department of Economics.
    8. Andrei M. Gomberg & Francisco Marhuenda & Ignacio Ortuño-Ortín, 2016. "Endogenous party platforms: ‘stochastic’ membership," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(4), pages 839-866, October.
    9. 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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