Existence and uniqueness of Nash Equilibrium in electoral competition games: The hybrid case
This paper analyzes the traditional unidimensional, two-party electoral competition game when parties have mixed motivations, in the sense that they are interested in winning the election, but also in the policy implemented after the contest. In spite of having discontinuous payoffs, this game, referred to as the hybrid election game, is shown to be payoff secure and reciprocally upper semi-continuous. Conditional payoffs, however, are not quasi-concave. Hence, the existence of a pure strategy Nash equilibrium ( psne) is ensured only if parties have homogenous interests in power. In that case, an equilibrium not only exists, but it is also unique. Instead, if parties have heterogeneous motivations, depending upon the relationship between the electoral uncertainty, the aggregate opportunism, and its distribution across parties, a psne may or may not exist. The mixed extension, however, is always better reply secure. Therefore, a mixed strategy Nash equilibrium does indeed exist. Copyright © 2008 Wiley Periodicals, Inc..
(This abstract was borrowed from another version of this item.)
|Date of creation:||2007|
|Date of revision:|
|Contact details of provider:|| Postal: Manchester M13 9PL|
Phone: (0)161 275 4868
Fax: (0)161 275 4812
Web page: http://www.socialsciences.manchester.ac.uk/subjects/economics/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- John E. Roemer, 1997. "Political-economic equilibrium when parties represent constituents: The unidimensional case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 479-502.
- Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135.
- Jean-FranÚois Laslier, 2000. "Interpretation of electoral mixed strategies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 283-292.
- Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
- Hinich, Melvin J., 1977.
"Equilibrium in spatial voting: The median voter result is an artifact,"
Journal of Economic Theory,
Elsevier, vol. 16(2), pages 208-219, December.
- Hinich, M., 1976. "Equilibrium in Spatial Voting: The Median Voter Result is an Artifact," Working Papers 119, California Institute of Technology, Division of the Humanities and Social Sciences.
- Aragones, Enriqueta & Palfrey, Thomas. R., 2000.
"Mixed Equilibrium in a Downsian Model With a Favored Candidate,"
1102, California Institute of Technology, Division of the Humanities and Social Sciences.
- 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.
- Enriqueta Aragonés & Thomas R. Palfrey, 2000. "Mixed equilibrium in a Downsian model with a favored candidate," Economics Working Papers 502, Department of Economics and Business, Universitat Pompeu Fabra.
- Richard Ball, 1999. "Discontinuity and non-existence of equilibrium in the probabilistic spatial voting model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 533-555.
- Bernhardt, Dan & Duggan, John & Squintani, Francesco, 2007.
"Electoral competition with privately-informed candidates,"
Games and Economic Behavior,
Elsevier, vol. 58(1), pages 1-29, January.
- John Duggan, 2003. "Electoral Competition with Privately Informed Candidates," Theory workshop papers 505798000000000029, UCLA Department of Economics.
- Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 27-41.
- 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 Graduate School of Economics.
- Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
- Weingast, Barry R. & Wittman, Donald, 2008. "The Oxford Handbook of Political Economy," OUP Catalogue, Oxford University Press, number 9780199548477.
- Duggan, John & Fey, Mark, 2005.
"Electoral competition with policy-motivated candidates,"
Games and Economic Behavior,
Elsevier, vol. 51(2), pages 490-522, May.
- John Duggan & Mark Fey, . "Electoral Competition with Policy-Motivated Candidates," Wallis Working Papers WP19, University of Rochester - Wallis Institute of Political Economy.
- Steffen Hoernig, 2007. "Bertrand Games and Sharing Rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 573-585, June.
- Ignacio Ortuño Orti´n, 2002. "Ideological versus Downsian political competition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 551-567.
- John Ferejohn, 1986. "Incumbent performance and electoral control," Public Choice, Springer, vol. 50(1), pages 5-25, January.
When requesting a correction, please mention this item's handle: RePEc:man:sespap:0702. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marianne Sensier)
If references are entirely missing, you can add them using this form.