Existence and uniqueness of Nash Equilibrium in electoral competition games: The hybrid case
AbstractThis 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, refer 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 do indeed exist. These results generalize previous existence results in unidimensional electoral competition.
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Bibliographic InfoPaper provided by Economics, The University of Manchester in its series The School of Economics Discussion Paper Series with number 0702.
Date of creation: 2007
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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 Formulation 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)
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