IDEAS home Printed from https://ideas.repec.org/p/mik/wpaper/05_07.html
   My bibliography  Save this paper

The generalized Stackelberg equilibrium of the all-pay auction with complete information

Author

Listed:
  • Kai A. Konrad
  • Wolfgang Leininger

Abstract

We characterize the equilibrium of the all-pay auction with general convex cost of effort and sequential effort choices. We consider a set of n players who are arbitrarily partitioned into a group of players who choose their efforts ’early’ and a group of players who choose ’late’. Only the player with the lowest cost of effort has a positive payoff in any equilibrium. This payoff depends on his own timing vis-a-vis the timing of others. We also show that the choice of timing can be endogenized, in which case the strongest player typically chooses ’late’, whereas all other players are indifferent with respect to their choice of timing. In the most prominent equilibrium the player with the lowest cost of effort wins the auction at zero aggregate cost.

Suggested Citation

  • Kai A. Konrad & Wolfgang Leininger, 2005. "The generalized Stackelberg equilibrium of the all-pay auction with complete information," Discussion Papers in Economics 05_07, University of Dortmund, Department of Economics.
  • Handle: RePEc:mik:wpaper:05_07
    as

    Download full text from publisher

    File URL: http://www.wiso.uni-dortmund.de/mik/de/content/forschung/DPSeries/PDF/05-07.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2005. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Economic Journal, Royal Economic Society, vol. 115(505), pages 583-601, July.
    2. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    3. Konrad, Kai A., 2002. "Investment in the absence of property rights; the role of incumbency advantages," European Economic Review, Elsevier, vol. 46(8), pages 1521-1537, September.
    4. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
    5. Kaplan, Todd R. & Luski, Israel & Wettstein, David, 2003. "Innovative activity and sunk cost," International Journal of Industrial Organization, Elsevier, vol. 21(8), pages 1111-1133, October.
    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. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    8. Muller, Holger M & Warneryd, Karl, 2001. "Inside versus Outside Ownership: A Political Theory of the Firm," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 527-541, Autumn.
    9. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    10. Deneckere, Raymond J & Kovenock, Dan & Lee, Robert, 1992. "A Model of Price Leadership Based on Consumer Loyalty," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 147-156, June.
    11. Baik, Kyung H & Shogren, Jason F, 1992. "Strategic Behavior in Contests: Comment," American Economic Review, American Economic Association, vol. 82(1), pages 359-362, March.
    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. Brennan C. Platt & Joseph Price & Henry Tappen, 2010. "Pay-to-Bid Auctions," NBER Working Papers 15695, National Bureau of Economic Research, Inc.
    2. Segev, Ella & Sela, Aner, 2014. "Multi-stage sequential all-pay auctions," European Economic Review, Elsevier, vol. 70(C), pages 371-382.
    3. Krumer, Alex & Megidish, Reut & Sela, Aner, 2014. "First-Mover Advantage in Round-Robin Tournaments," CEPR Discussion Papers 10274, C.E.P.R. Discussion Papers.
    4. Kai A. Konrad & Wolfgang Leininger, 2007. "Self-enforcing Norms and the Efficient Non-cooperative Organization of Clans," Ruhr Economic Papers 0016, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    5. Baumann, Florian & Denter, Philipp & Friehe, Tim, 2013. "Hide or show? Endogenous observability of private precautions against crime when property value is private information," DICE Discussion Papers 115, University of Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    6. Jain, Shaili & Chen, Yiling & Parkes, David C., 2014. "Designing incentives for online question-and-answer forums," Games and Economic Behavior, Elsevier, vol. 86(C), pages 458-474.
    7. Hoffmann, Magnus & Rota-Graziosi, Grégoire, 2012. "Endogenous timing in general rent-seeking and conflict models," Games and Economic Behavior, Elsevier, vol. 75(1), pages 168-184.
    8. Hirata, Daisuke, 2014. "A model of a two-stage all-pay auction," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 5-13.
    9. Kai Konrad & Wolfgang Leininger, 2011. "Self-enforcing norms and efficient non-cooperative collective action in the provision of public goods," Public Choice, Springer, vol. 146(3), pages 501-520, March.
    10. Ella Segev & Aner Sela, 2011. "Sequential All-Pay Auctions with Head Starts and Noisy Outputs," Working Papers 1106, Ben-Gurion University of the Negev, Department of Economics.
    11. repec:dau:papers:123456789/179 is not listed on IDEAS
    12. Segev, Ella & Sela, Aner, 2012. "Multi-Stage Sequential All-Pay Auctions," CEPR Discussion Papers 8949, C.E.P.R. Discussion Papers.
    13. Chiappinelli, Olga, 2014. "An elimination contest with non-sunk bids," MPRA Paper 56140, University Library of Munich, Germany.
    14. Florian Baumann & Tim Friehe, 2013. "A note on the timing of investments in litigation contests," European Journal of Law and Economics, Springer, vol. 35(3), pages 313-326, June.
    15. Segev, Ella & Sela, Aner, 2011. "Sequential All-Pay Auctions with Head Starts," CEPR Discussion Papers 8183, C.E.P.R. Discussion Papers.
    16. repec:zbw:rwirep:0016 is not listed on IDEAS
    17. Konrad, Kai A., 2010. "Dynamic contests," Discussion Papers, Research Professorship & Project "The Future of Fiscal Federalism" SP II 2010-10, Social Science Research Center Berlin (WZB).
    18. Gürtler, Oliver, 2006. "Contractual Incentive Provision and Commitment in Rent-Seeking Contests," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 100, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    19. Kyung Hwan Baik & Jong Hwa Lee, 2013. "Endogenous Timing In Contests With Delegation," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2044-2055, October.
    20. Konrad, Kai A. & Leininger, Wolfgang, 2007. "Self-enforcing Norms and the Efficient Non-cooperative Organization of Clans," Ruhr Economic Papers 16, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    21. Nava Kahana & Doron Klunover, 2017. "Sequential Lottery Contests with Multiple Participants," Working Papers tax-mpg-rps-2017-02, Max Planck Institute for Tax Law and Public Finance.
    22. Denter, Philipp & Morgan, John & Sisak, Dana, 2011. ""Where Ignorance is Bliss, 'tis Folly to be Wise": Transparency in Contests," Economics Working Paper Series 1128, University of St. Gallen, School of Economics and Political Science.
    23. repec:kap:expeco:v:20:y:2017:i:3:d:10.1007_s10683-016-9504-1 is not listed on IDEAS
    24. Aner Sela & Ella Segev, 2012. "Multi-Stage Sequential All-Pay Auctions," Working Papers 1211, Ben-Gurion University of the Negev, Department of Economics.
    25. Ella Segev & Aner Sela, 2014. "Sequential all-pay auctions with head starts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 893-923, December.

    More about this item

    JEL classification:

    • 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

    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:mik:wpaper:05_07. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Eva Borchard). General contact details of provider: http://edirc.repec.org/data/wsdorde.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.