Three-Candidate Competition when Candidates Have Valence: The Base Case
We study the Nash Equilibrium of three-candidate unidimensional spatial competition when candidates differ in their non-policy characteristics (valence). If the voters' policy preferences are represented by a strictly convex loss function, and if the voter density is unimodal and symmetric, then a unique, modulo symmetry, local Nash Equilibrium exists under fairly plausible conditions. The global Nash Equilibrium, however, exists when only one candidate has a valence advantage (or disadvantage) while the other two candidates have the same valence
|Date of creation:||31 Mar 2008|
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- Hug, Simon, 1995. "Third Parties in Equilibrium," Public Choice, Springer, vol. 82(1-2), pages 159-80, January.
- Norman Schofield, 2007. "The Mean Voter Theorem: Necessary and Sufficient Conditions for Convergent Equilibrium," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 965-980.
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