Large Poisson Games

Roger Myerson

No 1189, Discussion Papers from Northwestern University, Center for Mathematical Studies in Economics and Management Science

Abstract: Existence of equilibria is proven for Poisson games with compact type sets and finite action sets. Then three theorems are introduced for characterizing limits of probabilities in Poisson games when the expected number of players becomes large. The magnitude theorem characterizes the rate at which probabilities of events go zero. The offset theorem characterizes the ratios of probabilites of events that differ by a finite additive translation. The hyperplane theorem estimates probabilites of hyperplane events. These theorems are applied to derive formulas for pivot probabilities in binary elections, and to analyze a voting game that was studied by Ledyard.

Date: 1997-06
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Journal Article: Large Poisson Games (2000)
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