IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v27y1998i3p375-392.html
   My bibliography  Save this article

Population uncertainty and Poisson games

Author

Listed:
  • Roger B. Myerson

    (Department of Managerial Economics and Decision Sciences, J.L. Kellogg Graduate School of Management, Northwestern University, Evanston, IL 60208-2009, USA)

Abstract

A general class of models is developed for analyzing games with population uncertainty. Within this general class, a special class of Poisson games is defined. It is shown that Poisson games are uniquely characterized by properties of independent actions and environmental equivalence. The general definition of equilibrium for games with population uncertainty is formulated, and it is shown that the equilibria of Poisson games are invariant under payoff-irrelevant type splitting. An example of a large voting game is discussed, to illustrate the advantages of using a Poisson game model for large games.

Suggested Citation

  • Roger B. Myerson, 1998. "Population uncertainty and Poisson games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(3), pages 375-392.
    • Handle: RePEc:spr:jogath:v:27:y:1998:i:3:p:375-392
    Note: Received December 1995/Revised version July 1997
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00182/papers/8027003/80270375.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Myerson, Roger B., 2000. "Large Poisson Games," Journal of Economic Theory, Elsevier, vol. 94(1), pages 7-45, September.
    2. John Ledyard, 1984. "The pure theory of large two-candidate elections," Public Choice, Springer, vol. 44(1), pages 7-41, January.
    3. Richard Engelbrecht-Wiggans, 1987. "On Optimal Reservation Prices in Auctions," Management Science, INFORMS, vol. 33(6), pages 763-770, June.
    4. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
    5. Palfrey, Thomas R. & Rosenthal, Howard, 1985. "Voter Participation and Strategic Uncertainty," American Political Science Review, Cambridge University Press, vol. 79(1), pages 62-78, March.
    6. Thomas Palfrey & Howard Rosenthal, 1983. "A strategic calculus of voting," Public Choice, Springer, vol. 41(1), pages 7-53, January.
    7. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vijay Krishna & John Morgan, 2015. "Majority Rule and Utilitarian Welfare," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 339-375, November.
    2. Christina Luxen, 2020. "Pollsand Elections: Strategic Respondents and Turnout Implications," ECONtribute Discussion Papers Series 020, University of Bonn and University of Cologne, Germany.
    3. Alastair Smith & Bruce Bueno de Mesquita & Tom LaGatta, 2017. "Group incentives and rational voting1," Journal of Theoretical Politics, , vol. 29(2), pages 299-326, April.
    4. 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.
    5. Gersbach, Hans & Mamageishvili, Akaki & Tejada, Oriol, 2021. "The effect of handicaps on turnout for large electorates with an application to assessment voting," Journal of Economic Theory, Elsevier, vol. 195(C).
    6. Taylor, Curtis R. & Yildirim, Huseyin, 2010. "A unified analysis of rational voting with private values and group-specific costs," Games and Economic Behavior, Elsevier, vol. 70(2), pages 457-471, November.
    7. Xefteris, Dimitrios, 2019. "Strategic voting when participation is costly," Games and Economic Behavior, Elsevier, vol. 116(C), pages 122-127.
    8. Marco Faravelli & Santiago Sanchez-Pages, 2015. "(Don’t) Make My Vote Count," Journal of Theoretical Politics, , vol. 27(4), pages 544-569, October.
    9. Marco Faravelli & Priscilla Man, 2021. "Generalized majority rules: utilitarian welfare in large but finite populations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 21-48, July.
    10. Hans Gersbach & Akaki Mamageishvili & Oriol Tejada, 2017. "Assessment Voting in Large Electorates," Papers 1712.05470, arXiv.org, revised Feb 2018.
    11. Gersbach, Hans & Mamageishvili, Akaki & Tejada, Oriol, 2019. "The Effect of Handicaps on Turnout for Large Electorates: An Application to Assessment Voting," CEPR Discussion Papers 13921, C.E.P.R. Discussion Papers.
    12. Faravelli, Marco & Man, Priscilla & Walsh, Randall, 2015. "Mandate and paternalism: A theory of large elections," Games and Economic Behavior, Elsevier, vol. 93(C), pages 1-23.
    13. Taylor, Curtis R. & Yildirim, Huseyin, 2010. "Public information and electoral bias," Games and Economic Behavior, Elsevier, vol. 68(1), pages 353-375, January.
    14. Krishna, Vijay & Morgan, John, 2012. "Voluntary voting: Costs and benefits," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2083-2123.
    15. Leontiou, Anastasia & Manalis, Georgios & Xefteris, Dimitrios, 2023. "Bandwagons in costly elections: The role of loss aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 209(C), pages 471-490.
    16. , & ,, 2006. "Group formation and voter participation," Theoretical Economics, Econometric Society, vol. 1(4), pages 461-487, December.
    17. Bhattacharya, Sourav & Duffy, John & Kim, Sun-Tak, 2014. "Compulsory versus voluntary voting: An experimental study," Games and Economic Behavior, Elsevier, vol. 84(C), pages 111-131.
    18. Makris, Miltiadis, 2009. "Private provision of discrete public goods," Games and Economic Behavior, Elsevier, vol. 67(1), pages 292-299, September.
    19. João Amaro de Matos & Pedro Barros, 2004. "Social Norms and the Paradox of Elections’ Turnout," Public Choice, Springer, vol. 121(1), pages 239-255, October.
    20. Serge Blondel & Louis Lévy-garboua, 2011. "Can non-expected utility theories explain the paradox of not voting?," Economics Bulletin, AccessEcon, vol. 31(4), pages 3158-3168.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jogath:v:27:y:1998:i:3:p:375-392. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.