Population Uncertainty and Poisson Games
A general class of games with population uncertainty is formulated to describe situations where the set of players is not common knowledge. Simplifying independent-actions and environmental-equilvalence conditions imply that the numbers of players of each type are independent Poisson random variables. Equilibria of such Poisson games are defined and proven to exist. Formulas for approximating the equilibria of large Poisson games are derived, and are applied to a voting game in which participation is costly. We review how the analysis of such voting games can become more complicated and unrealistic when the set of players is assumed to be known.
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| Date of creation: | Sep 1994 |
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| Handle: | RePEc:nwu:cmsems:1102 |
| Contact details of provider: | Postal: Phone: 847/491-3527 Fax: 847/491-2530 Web page: http://www.kellogg.northwestern.edu/research/math/Email: More information through EDIRC
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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Roger B. Myerson, 1994.
"Extended Poisson Games and the Condorcet Jury Theorem,"
Discussion Papers
1103, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
- Myerson, Roger B., 2000.
"Large Poisson Games,"
Journal of Economic Theory,
Elsevier, vol. 94(1), pages 7-45, September.
- Roger B. Myerson, 1997. "Large Poisson Games," Discussion Papers 1189, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Harsanyi, John C, 1995.
"Games with Incomplete Information,"
American Economic Review,
American Economic Association, vol. 85(3), pages 291-303, June.
- Harsanyi, John C., 1994. "Games with Incomplete Information," Nobel Prize in Economics documents 1994-1, Nobel Prize Committee.
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