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 sufficient 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.
Single-peakedness, Augmented median voter rule, Strong Nash equilibrium, Coalition-proof Nash Equilibrium, Minimax theorem, Manipulation.
D78, D72, C70.
RIEB, Kobe University
Rokkodai-cho, Nada-ku, Kobe