Name
Abstract | ||
|---|---|---|
A theorem on existence of mixed strategy equilibria in discontinuous zero-sum games is proved and applied to three models of elections. First, the existence theorem yields a mixed strategy equilibrium in the multidimensional spatial model of elections with three voters. A nine-voter example shows that a key condition of the existence theorem is violated for general finite numbers of voters and illustrates an obstacle to a general result. Second, the theorem provides a simple and self-contained proof of Kramer's existence result for the multidimensional model with a continuum of voters [Kramer, G., 1978. Existence of electoral equilibrium. In: Ordeshook, P. (Ed.), Game Theory and Political Science. NYU Press, New York]. Third, existence follows for a class of multidimensional probabilistic voting models with discontinuous probability-of-winning functions. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.geb.2006.10.004 | Games and Economic Behavior |
Keywords | Field | DocType |
C72,D72 | Welfare economics,Existence theorem,Obstacle,Mathematical economics,Strategy,Voting,Multidimensional model,Game theory,Zero-sum game,Probabilistic logic,Mathematics | Journal |
Volume | Issue | ISSN |
60 | 1 | 0899-8256 |
Citations | PageRank | References |
6 | 1.09 | 1 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| John Duggan | 1 | 241 | 145.72 |