In this note we show that, for generic plurality games (i.e., voting games under plurality rule), an equilibrium that induces a mixed distribution over the outcomes (i.e., with two or more candidates elected with positive probability), is regular and, hence, a Mertens' stable set. Furthermore, we show that stronger equilibrium concepts, than stability, do not guarantee the existence of a solution for some generic plurality games. A final example shows the weakness of the simple sophisticated voting principle.
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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number
1999030.
Find related papers by JEL classification: C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior
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