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Two-candidate competition with endogenous valence: a differential game approach

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  • Köppl Turyna, Monika

Abstract

We propose a differential game approach to analyze two--candidate competition in a la Hotelling game with candidates simultaneously choosing locations and investment in valence. We find a Markov perfect equilibrium in which candidates choose divergent locations. Divergence from the median is increasing if the parameter measuring the importance of policy relative to valence is decreasing and if valence depreciates slowly. The results are generalizable to a version of the game with probabilistic voting, that is with a stochastic state equation.

Suggested Citation

  • Köppl Turyna, Monika, 2014. "Two-candidate competition with endogenous valence: a differential game approach," MPRA Paper 64203, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:64203
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    File URL: https://mpra.ub.uni-muenchen.de/64203/1/MPRA_paper_64203.pdf
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    References listed on IDEAS

    as
    1. Caputo,Michael R., 2005. "Foundations of Dynamic Economic Analysis," Cambridge Books, Cambridge University Press, number 9780521842723, January.
    2. Norman Schofield & Alexei Zakharov, 2010. "A stochastic model of the 2007 Russian Duma election," Public Choice, Springer, vol. 142(1), pages 177-194, January.
    3. Herrera, Helios & Levine, David K. & Martinelli, César, 2008. "Policy platforms, campaign spending and voter participation," Journal of Public Economics, Elsevier, vol. 92(3-4), pages 501-513, April.
    4. Köppl-Turyna, Monika, 2014. "Campaign finance regulations and policy convergence: The role of interest groups and valence," European Journal of Political Economy, Elsevier, vol. 33(C), pages 1-19.
    5. Mueller, Dennis C & Stratmann, Thomas, 1994. "Informative and Persuasive Campaigning," Public Choice, Springer, vol. 81(1-2), pages 55-77, October.
    6. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135-135.
    7. 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.
    8. Ashworth, Scott & Bueno de Mesquita, Ethan, 2009. "Elections with platform and valence competition," Games and Economic Behavior, Elsevier, vol. 67(1), pages 191-216, September.
    9. Michael Davis & Philip Porter, 1989. "A test for pure or apparent ideology in congressional voting," Public Choice, Springer, vol. 60(2), pages 101-111, February.
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    More about this item

    Keywords

    differential game; two--candidate competition; valence;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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