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Electoral competition in 2-dimensional ideology space with unidimensional commitment

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  • Marcin Dziubiński

    ()

  • Jaideep Roy

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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.
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Suggested Citation

  • 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.
    2. Krasa, Stefan & Polborn, Mattias K., 2012. "Political competition between differentiated candidates," Games and Economic Behavior, Elsevier, vol. 76(1), pages 249-271.
    3. Aragones, Enriqueta & Palfrey, Thomas R., 2002. "Mixed Equilibrium in a Downsian Model with a Favored Candidate," Journal of Economic Theory, Elsevier, vol. 103(1), pages 131-161, March.
    4. Ansolabehere, Stephen & Snyder, James M, Jr, 2000. "Valence Politics and Equilibrium in Spatial Election Models," Public Choice, Springer, vol. 103(3-4), pages 327-336, June.
    5. 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.
    6. Garrett Beeler Asay, 2008. "How does ideology matter in the spatial model of voting?," Public Choice, Springer, vol. 135(3), pages 109-123, June.
    7. Steven Callander, 2008. "Political Motivations," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 671-697.
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    Cited by:

    1. Aragonès, Enriqueta & Xefteris, Dimitrios, 2017. "Voters' private valuation of candidates' quality," Journal of Public Economics, Elsevier, pages 121-130.
    2. Xefteris, Dimitrios, 2017. "Multidimensional electoral competition between differentiated candidates," Games and Economic Behavior, Elsevier, pages 112-121.
    3. Bernard Grofman & Orestis Troumpounis & Dimitrios Xefteris, 2016. "Electoral competition with primaries and quality asymmetries," Working Papers 135286117, Lancaster University Management School, Economics Department.
    4. 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.
    5. 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.

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