Large Poisson Games

Arbeitspapier

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Discussion Paper ; No. 1189

Classification and Topics

• Classification: Wirtschaft

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Myerson, Roger B.
• Event: Veröffentlichung
• (who): Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science
• (where): Evanston, IL
• (when): 1997

Further information

• Handle: http://hdl.handle.net/10419/221545
• Last update: 10.03.2025, 11:42 AM CET