On Coalitional Stability and Single-peakedness
We study a one-dimensional voting game in which voters choose a policy from a one-dimensional policy set over which voters have single-peaked preferences. The purpose of this paper is to analyze coalitional behaviors under any given voting mechanism. We employ the notion of strong Nash equilibrium and identify a necessary and su¢ cient condition for a voting mechanism to possess a strong Nash equilibrium by using the minimax theorem. We moreover show that any strong Nash outcome, if it exists, results in an outcome recommended by a particular augmented median voter rule.
|Date of creation:||May 2011|
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