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Large Poisson Games

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Author Info
Roger B. Myerson

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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.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1189.

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Date of creation: Jun 1997
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Handle: RePEc:nwu:cmsems:1189

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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.:
  1. Roger B. Myerson, 1994. "Population Uncertainty and Poisson Games," Discussion Papers 1102, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  2. Paul Milgrom & Robert Weber, 1981. "Distributional Strategies for Games with Incomplete Information," Discussion Papers 428R, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  3. Igal Milchtaich, 1997. "Random-Player Games," Discussion Papers 1178, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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(explanations, 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.)

  1. Taylor, Curtis & Yildirim, Huseyin, 2005. "Re-examining Voter Turnout in Large Elections," Working Papers 05-09, Duke University, Department of Economics. [Downloadable!]
  2. Roger B. Myerson, 1994. "Population Uncertainty and Poisson Games," Discussion Papers 1102, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  3. Sourav Bhattacharya, 2006. "Preference Monotonicity and Information Aggregation in Elections," Working Papers 325, University of Pittsburgh, Department of Economics, revised Jun 2007. [Downloadable!]
  4. repec:hal:journl:hal-00243049_v1 is not listed on IDEAS
  5. Daron Acemoglu & Munther A. Dahleh & Ilan Lobel & Asuman Ozdaglar, 2008. "Bayesian Learning in Social Networks," NBER Working Papers 14040, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Patty, John W., 1999. "Plurality and Probability of Victory: Some Equivalence Results," Working Papers 1048, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  7. Castanheira, Micael, 2002. "Why Vote for Losers?," CEPR Discussion Papers 3404, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  8. Jean-François Laslier, 2004. "Strategic Approval Voting in a large electorate," Working Papers hal-00242909_v1, HAL. [Downloadable!]
    Other versions:
  9. Alexander Matros & Wooyoung Lim, 2007. "Contests with a Stochastic Number of Players," Working Papers 323, University of Pittsburgh, Department of Economics, revised Sep 2008. [Downloadable!]
  10. Taylor, Curtis & Yildirim, Huseyin, 2005. "Public Information and Electoral Bias," Working Papers 05-11, Duke University, Department of Economics. [Downloadable!]
  11. Timothy J. Feddersen, 2004. "Rational Choice Theory and the Paradox of Not Voting," Journal of Economic Perspectives, American Economic Association, vol. 18(1), pages 99-112, Winter. [Downloadable!] (restricted)
  12. Matias Nunez, 2007. "Approval voting and the Poisson-Myerson environment," Working Papers hal-00243049_v1, HAL. [Downloadable!]
  13. Vijay Krishna & John Morgan, 2008. "On the Benefits of Costly Voting," Economics Working Papers 83, Institute for Advanced Study, School of Social Science. [Downloadable!]
  14. Laurent Bouton & Micael Castanheira, 2008. "One person, Many Votes: Divided Majority and Information Aggregation," ECARES Working Papers 2008_017, Université Libre de Bruxelles, Ecares. [Downloadable!]
  15. Antonio Merlo, 2005. "Whither Political Economy? Theories, Facts and Issues," PIER Working Paper Archive 05-033, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Dec 2005. [Downloadable!]
  16. Curtis R. Taylor & Huseyin Yildirim, 2006. "An Analysis of Rational Voting with Private Values and Cost Uncertainty," Levine's Bibliography 321307000000000060, UCLA Department of Economics. [Downloadable!]
  17. Rotemberg, Julio, 2005. "Attitude-Dependent Altruism, Turnout and Voting," CEPR Discussion Papers 5146, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  18. Voorneveld, M., 2000. "Maximum likelihood equilibria of games with population uncertainty," Discussion Paper 79, Tilburg University, Center for Economic Research. [Downloadable!]
  19. Kenneth Shotts, 2006. "A Signaling Model of Repeated Elections," Social Choice and Welfare, Springer, vol. 27(2), pages 251-261, October. [Downloadable!] (restricted)
  20. Roger B. Myerson, 1998. "Comparison of Scoring Rules in Poisson Voting Games," Discussion Papers 1214, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
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