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Electoral Competition in 2-Dimensional Ideology Space with Unidimensional Commitment

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  • Marcin Dziubinski
  • 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 slect (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 sufficient conditions for existence of convergent and divergent Nash equilibria for distributions with a non-empty and an empty core. We identify a special point on the ideology space whcih we call a strict median, existence of which is strictly related to existence of divergent Nash equilibria. A central conclusion of our anlysis is that for divergent equilibria, strong extremism (or differentiation) seems to be an important equlibrium feature.

Suggested Citation

  • Marcin Dziubinski & Jaideep Roy, 2008. "Electoral Competition in 2-Dimensional Ideology Space with Unidimensional Commitment," CEDI Discussion Paper Series 08-19, Centre for Economic Development and Institutions(CEDI), Brunel University.
    • Handle: RePEc:edb:cedidp:08-19
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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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    6. Hummel, Patrick, 2010. "On the nature of equilibria in a Downsian model with candidate valence," Games and Economic Behavior, Elsevier, vol. 70(2), pages 425-445, November.
    7. Garrett Beeler Asay, 2008. "How does ideology matter in the spatial model of voting?," Public Choice, Springer, vol. 135(3), pages 109-123, June.
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    Cited by:

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    2. 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.
    3. Aragonès, Enriqueta & Xefteris, Dimitrios, 2017. "Voters' private valuation of candidates' quality," Journal of Public Economics, Elsevier, vol. 156(C), pages 121-130.
    4. Xefteris, Dimitrios, 2017. "Multidimensional electoral competition between differentiated candidates," Games and Economic Behavior, Elsevier, vol. 105(C), pages 112-121.
    5. Bernard Grofman & Orestis Troumpounis & Dimitrios Xefteris, 2016. "Electoral competition with primaries and quality asymmetries," Working Papers 135286117, Lancaster University Management School, Economics Department.
    6. 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.
    7. 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.
    8. Knudson, Mathew, 2020. "Two candidate competition on differentiated policy sets," Games and Economic Behavior, Elsevier, vol. 121(C), pages 413-434.
    9. 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.

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