IDEAS home Printed from https://ideas.repec.org/p/zbw/rwirep/544.html
   My bibliography  Save this paper

Alliance Formation in Contests with Incomplete Information

Author

Listed:
  • Metzger, Lars P.

Abstract

This paper studies a contest in which players with unobservable types may form an alliance in a pre-stage of the game to join their forces and compete for a prize. We characterize the pure strategy equilibria of this game of incomplete information. We show that if the formation of an alliance is voluntary, players do not reveal private information in the process of alliance formation in any equilibrium. In this case there exists a pooling equilibrium without alliances with a unique effort choice in the contest and there exist equilibria in which all types prefer to form an alliance. If the formation of an alliance can be enforced by one player with positive probability there exists an equilibrium in which only the low types prefer to form an alliance.

Suggested Citation

  • Metzger, Lars P., 2015. "Alliance Formation in Contests with Incomplete Information," Ruhr Economic Papers 544, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
  • Handle: RePEc:zbw:rwirep:544
    DOI: 10.4419/86788622
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/107696/1/819683930.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.4419/86788622?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Nti, Kofi O, 1997. "Comparative Statics of Contests and Rent-Seeking Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 43-59, February.
    2. Jia, Hao & Skaperdas, Stergios & Vaidya, Samarth, 2013. "Contest functions: Theoretical foundations and issues in estimation," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 211-222.
    3. Herbst, Luisa & Konrad, Kai A. & Morath, Florian, 2015. "Endogenous group formation in experimental contests," European Economic Review, Elsevier, vol. 74(C), pages 163-189.
    4. Sheremeta, Roman M., 2010. "Experimental comparison of multi-stage and one-stage contests," Games and Economic Behavior, Elsevier, vol. 68(2), pages 731-747, March.
    5. David A. Malueg & Andrew J. Yates, 2004. "Sent Seeking With Private Values," Public Choice, Springer, vol. 119(1_2), pages 161-178, April.
    6. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    7. Florian Morath & Johannes Münster, 2013. "Information acquisition in conflicts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 99-129, September.
    8. Jun Zhang, 2008. "Simultaneous Signaling In Elimination Contests," Working Paper 1184, Economics Department, Queen's University.
    9. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 251-262, Springer.
    10. Mark Fey, 2008. "Rent-seeking contests with incomplete information," Public Choice, Springer, vol. 135(3), pages 225-236, June.
    11. Christian Ewerhart, 2010. "Rent-seeking contests with independent private values," IEW - Working Papers 490, Institute for Empirical Research in Economics - University of Zurich.
    12. Cédric Wasser, 2013. "Incomplete information in rent-seeking contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 239-268, May.
    13. Suen, Wing, 1989. "Rationing and Rent Dissipation in the Presence of Heterogeneous Individuals," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1384-1394, December.
    14. Hurley, Terrance M, 1998. "Rent Dissipation and Efficiency in a Contest with Asymmetric Valuations," Public Choice, Springer, vol. 94(3-4), pages 289-298, March.
    15. Stephen M. Robinson, 1991. "An Implicit-Function Theorem for a Class of Nonsmooth Functions," Mathematics of Operations Research, INFORMS, vol. 16(2), pages 292-309, May.
    16. Hurley, Terrance M. & Shogren, Jason F., 1998. "Asymmetric information contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 645-665, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Luisa Herbst, 2016. "Who Pays to Win Again? The Joy of Winning in Contest Experiments," Working Papers tax-mpg-rps-2016-06, Max Planck Institute for Tax Law and Public Finance.

    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. repec:zbw:rwirep:0544 is not listed on IDEAS
    2. Lars P. Metzger, 2015. "Alliance Formation in Contests with Incomplete Information," Ruhr Economic Papers 0544, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    3. Kai A. Konrad & Florian Morath, 2018. "To Deter Or To Moderate? Alliance Formation In Contests With Incomplete Information," Economic Inquiry, Western Economic Association International, vol. 56(3), pages 1447-1463, July.
    4. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working Papers id:12840, eSocialSciences.
    5. Gallice, Andrea, 2017. "An approximate solution to rent-seeking contests with private information," European Journal of Operational Research, Elsevier, vol. 256(2), pages 673-684.
    6. Wasser, Cédric, 2013. "A note on Bayesian Nash equilibria in imperfectly discriminating contests," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 180-182.
    7. Häfner, Samuel, 2017. "A tug-of-war team contest," Games and Economic Behavior, Elsevier, vol. 104(C), pages 372-391.
    8. Thomas Giebe & Paul Schweinzer, 2015. "Probabilistic procurement auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 25-46, March.
    9. Cédric Wasser, 2013. "Incomplete information in rent-seeking contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 239-268, May.
    10. Thomas Giebe & Paul Schweinzer, 2012. "Fuzzy Price-Quality Ratio Procurement under Incomplete Information," Discussion Papers 12/26, Department of Economics, University of York.
    11. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    12. Philip Brookins & Dmitry Ryvkin, 2014. "An experimental study of bidding in contests of incomplete information," Experimental Economics, Springer;Economic Science Association, vol. 17(2), pages 245-261, June.
    13. Matthew D. Mitchell, 2019. "Uncontestable favoritism," Public Choice, Springer, vol. 181(1), pages 167-190, October.
    14. Andrea Gallice, 2014. "Rent-seeking contests with private valuations," Carlo Alberto Notebooks 390, Collegio Carlo Alberto.
    15. Andrea Gallice, 2013. "Rent-seeking contests with private values and common knowledge about the mean," Working papers 023, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    16. Christian Ewerhart & Julia Lareida, 2018. "Voluntary disclosure in asymmetric contests," ECON - Working Papers 279, Department of Economics - University of Zurich, revised Jul 2023.
    17. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    18. Heijnen, Pim & Schoonbeek, Lambert, 2019. "Rent-seeking with uncertain discriminatory power," European Journal of Political Economy, Elsevier, vol. 56(C), pages 103-114.
    19. Karl Wärneryd, 2012. "Multi-player contests with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 277-287, October.
    20. Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2022. "On equilibrium existence in generalized multi-prize nested lottery contests," Journal of Economic Theory, Elsevier, vol. 200(C).
    21. Mercier, Jean-François, 2018. "Non-deterministic group contest with private information," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 47-53.

    More about this item

    Keywords

    alliance formation; contest; incomplete information; free-riding; signalling;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:zbw:rwirep:544. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/rwiesde.html .

    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.