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Candidate quality in a Downsian Model with a Continuous Policy Space

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  • Enriqueta Aragonès
  • Dimitrios Xefteris

Abstract

This paper characterizes a mixed strategy Nash equilibrium in a one-dimensional Downsian model of two-candidate elections with a continuous policy space, where candidates are office motivated and one candidate enjoys a non- policy advantage over the other candidate. We assume that voters have quadratic preferences over policies and that their ideal points are drawn from a uniform distribution over the unit interval. In our equilibrium the advantaged candidate chooses the expected median voter with probability one and the disadvantaged candidate uses a mixed strategy that is symmetric around it. We show that this equilibrium exists if the number of voters is large enough relative to the size of the advantage.

Suggested Citation

  • Enriqueta Aragonès & Dimitrios Xefteris, 2011. "Candidate quality in a Downsian Model with a Continuous Policy Space," UFAE and IAE Working Papers 859.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:859.11
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    1. Enriqueta Aragones & Thomas R. Palfrey, 2005. "Electoral Competition Between Two Candidates of Different Quality: The Effects of Candidate Ideology and Private Information," Studies in Choice and Welfare, in: David Austen-Smith & John Duggan (ed.), Social Choice and Strategic Decisions, pages 93-112, Springer.
    2. Enriqueta Aragonès & Thomas R. Palfrey, 2004. "Electoral Competition Between Between Two Candidates of Different Quality: The Effects of Candidate Ideology and Private Information," Working Papers 60, Barcelona School of Economics.
    3. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
    4. Bernhardt, M. Daniel & Ingerman, Daniel E., 1985. "Candidate reputations and the `incumbency effect'," Journal of Public Economics, Elsevier, vol. 27(1), pages 47-67, June.
    5. 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.
    6. 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.
    7. Aragones, Enriqueta & Palfrey, Thomas R., 2004. "The Effect of Candidate Quality on Electoral Equilibrium: An Experimental Study," American Political Science Review, Cambridge University Press, vol. 98(1), pages 77-90, February.
    8. 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.
    9. Roland Kirstein & Georg v. Wangenheim, 2010. "A Generalized Condorcet Jury Theorem with Two Independent Probabilities of Error," MAGKS Papers on Economics 201011, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    10. Barnett,William A. & Schofield,Norman & Hinich,Melvin (ed.), 1993. "Political Economy: Institutions, Competition and Representation," Cambridge Books, Cambridge University Press, number 9780521417815.
    11. Mark M. Berger & Michael C. Munger & Richard F. Potthoff, 2000. "The Downsian Model Predicts Divergence," Journal of Theoretical Politics, , vol. 12(2), pages 228-240, April.
    12. Kiewiet, D. Roderick & Zeng, Langche, 1993. "An Analysis of Congressional Career Decisions, 1947–1986," American Political Science Review, Cambridge University Press, vol. 87(4), pages 928-941, December.
    13. Barnett,William A. & Schofield,Norman & Hinich,Melvin (ed.), 1993. "Political Economy: Institutions, Competition and Representation," Cambridge Books, Cambridge University Press, number 9780521428316.
    14. Adams, James, 1999. "Policy Divergence in Multicandidate Probabilistic Spatial Voting," Public Choice, Springer, vol. 100(1-2), pages 103-122, July.
    15. Stokes, Donald E., 1963. "Spatial Models of Party Competition," American Political Science Review, Cambridge University Press, vol. 57(2), pages 368-377, June.
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    Cited by:

    1. Balart, Pau & Casas, Agustin & Troumpounis, Orestis, 2022. "Technological change, campaign spending and polarization," Journal of Public Economics, Elsevier, vol. 211(C).
    2. Enriqueta Aragonès & Dimitrios Xefteris, 2022. "Ideological Consistency and Valence," Working Papers 1383, Barcelona School of Economics.
    3. Laussel, Didier & Le Breton, Michel & Xefteris, Dimitrios, 2013. "Simple Centrifugal Incentives in Downsian Dynamics," TSE Working Papers 13-405, Toulouse School of Economics (TSE).
    4. Schönenberger, Felix, 2023. "Strategic Policy Responsiveness to Opponent Platforms: Evidence From U.S. House Incumbents Running Against Moderate or Extremist Challengers," MPRA Paper 120160, University Library of Munich, Germany.
    5. Aragonès, Enriqueta & Xefteris, Dimitrios, 2017. "Voters' private valuation of candidates' quality," Journal of Public Economics, Elsevier, vol. 156(C), pages 121-130.
    6. Xefteris, Dimitrios, 2013. "Equilibrium in a discrete Downsian model given a non-minimal valence advantage and linear loss functions," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 150-153.
    7. Xefteris, Dimitrios, 2012. "Spatial electoral competition with a probabilistically favored candidate," Economics Letters, Elsevier, vol. 116(1), pages 96-98.
    8. Dimitrios Xefteris, 2014. "Mixed equilibriums in a three-candidate spatial model with candidate valence," Public Choice, Springer, vol. 158(1), pages 101-120, January.
    9. Dimitrios Xefteris, 2018. "Candidate valence in a spatial model with entry," Public Choice, Springer, vol. 176(3), pages 341-359, September.
    10. Enriqueta Aragonès & Dimitrios Xefteris, 2017. "Imperfectly Informed Voters And Strategic Extremism," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(2), pages 439-471, May.
    11. Daniel Cardona & Jenny De Freitas & Antoni Rubí-Barceló, 2018. "Polarization or Moderation? Intra-group heterogeneity in endogenous-policy contest," DEA Working Papers 87, Universitat de les Illes Balears, Departament d'Economía Aplicada.
    12. Konstantinos Matakos & Orestis Troumpounis & Dimitrios Xefteris, 2015. "Turnout and Polarization Under Alternative Electoral Systems," Studies in Political Economy, in: Norman Schofield & Gonzalo Caballero (ed.), The Political Economy of Governance, edition 127, pages 335-362, Springer.
    13. 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.
    14. 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.
    15. De Donder, Philippe & Gallego, Maria, 2017. "Electoral Competition and Party Positioning," TSE Working Papers 17-760, Toulouse School of Economics (TSE).
    16. Fabian Gouret & Stéphane Rossignol, 2019. "Intensity valence," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 63-112, June.
    17. 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.
    18. Cahan, Dodge & McCabe-Dansted, John & Slinko, Arkadii, 2018. "Asymmetric equilibria in spatial competition under weakly concave scoring rules," Economics Letters, Elsevier, vol. 167(C), pages 71-74.
    19. 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.
    20. Dodge Cahan & Hongjia H. Chen & Louis Christie & Arkadii Slinko, 2021. "Spatial competition on 2-dimensional markets and networks when consumers don’t always go to the closest firm," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 945-970, December.
    21. Daniel Cardona & Jenny Freitas & Antoni Rubí-Barceló, 2023. "Polarization and conflict among groups with heterogeneous members," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(1), pages 199-219, July.
    22. Livio Di Lonardo, 2017. "Valence uncertainty and the nature of the candidate pool in elections," Journal of Theoretical Politics, , vol. 29(2), pages 327-350, April.
    23. Ružica Savčić & Dimitrios Xefteris, 2021. "Apostolic voting," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(3), pages 1400-1417, November.
    24. Karakas, Leyla D. & Mitra, Devashish, 2020. "Inequality, redistribution and the rise of outsider candidates," Games and Economic Behavior, Elsevier, vol. 124(C), pages 1-16.
    25. Dodge Cahan & Arkadii Slinko, 2018. "Electoral competition under best-worst voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 259-279, August.

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    More about this item

    Keywords

    spatial competition; mixed strategies; candidate quality;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • H1 - Public Economics - - Structure and Scope of Government

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