Existence and uniqueness of Nash Equilibrium in electoral competition games: The hybrid case
Abstract
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.)
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Paper provided by Economics, The University of Manchester in its series The School of Economics Discussion Paper Series with number 0702.Length:
Date of creation: 2007
Date of revision:
Handle: RePEc:man:sespap:0702
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Related research
Keywords:Other versions of this item:
- Alejandro Saporiti, 2008. "Existence and Uniqueness of Nash Equilibrium in Electoral Competition Games: The Hybrid Case," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(5), pages 827-857, October.
- Alejandro Saporiti, 2007. "Existence and uniqueness of Nash equilibrium in electoral competition games: The hybrid case," Wallis Working Papers WP50, University of Rochester - Wallis Institute of Political Economy.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- 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-Making and Implementation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-02-09 (All new papers)
- NEP-CDM-2008-02-09 (Collective Decision-Making)
- NEP-GTH-2008-02-09 (Game Theory)
- NEP-MIC-2008-02-09 (Microeconomics)
References
References listed on IDEASPlease 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.:
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Alejandro Saporiti, 2013. "Power Sharing and Electoral Equilibrium," The School of Economics Discussion Paper Series 1301, Economics, The University of Manchester.
- Michalis Drouvelis & Alejandro Saporiti & Nicolaas J Vriend, 2011.
"Political Motivations and Electoral Competition: Equilibrium Analysis and Experimental Evidence,"
Discussion Papers
11-15, Department of Economics, University of Birmingham.
- Michalis Drouvelis & Alejandro Saporiti & Nicolaas J. Vriend, 2011. "Political Motivations and Electoral Competition: Equilibrium Analysis and Experimental Evidence," Working Papers 682, Queen Mary, University of London, School of Economics and Finance.
- Michalis Drouvelis & Alejandro Saporiti & Nicolaas J. Vriend, 2011. "Political Motivations and Electoral Competition: Equilibrium Analysis and Experimental Evidence," The School of Economics Discussion Paper Series 1119, Economics, The University of Manchester.
- Alejandro Saporiti, 2010. "Power, ideology, and electoral competition," The School of Economics Discussion Paper Series 1003, Economics, The University of Manchester.
- Hummel, Patrick, 2010. "Flip-flopping from primaries to general elections," Journal of Public Economics, Elsevier, vol. 94(11-12), pages 1020-1027, December.
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