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

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  • Kai Konrad

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  • Wolfgang Leininger

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Abstract

In the equilibrium of the all-pay auction with two groups of individual players who move sequentially, only the player with the lowest effort cost has a positive payoff. This payoff and the overall dissipation crucially depend on group composition.
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Suggested Citation

  • Kai Konrad & Wolfgang Leininger, 2007. "The generalized Stackelberg equilibrium of the all-pay auction with complete information," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 165-174, September.
  • Handle: RePEc:spr:reecde:v:11:y:2007:i:2:p:165-174
    DOI: 10.1007/s10058-007-0029-0
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    References listed on IDEAS

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    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.
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    Citations

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    Cited by:

    1. Segev, Ella & Sela, Aner, 2014. "Multi-stage sequential all-pay auctions," European Economic Review, Elsevier, vol. 70(C), pages 371-382.
    2. 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.
    3. 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.
    4. Alex Krumer & Reut Megidish & Aner Sela, 2017. "First-mover advantage in round-robin tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 633-658, March.
    5. repec:dau:papers:123456789/179 is not listed on IDEAS
    6. Segev, Ella & Sela, Aner, 2012. "Multi-Stage Sequential All-Pay Auctions," CEPR Discussion Papers 8949, C.E.P.R. Discussion Papers.
    7. repec:zbw:rwirep:0016 is not listed on IDEAS
    8. 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).
    9. 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.
    10. 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.
    11. 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.
    12. Aner Sela & Ella Segev, 2012. "Multi-Stage Sequential All-Pay Auctions," Working Papers 1211, Ben-Gurion University of the Negev, Department of Economics.
    13. Brennan C. Platt & Joseph Price & Henry Tappen, 2010. "Pay-to-Bid Auctions," NBER Working Papers 15695, National Bureau of Economic Research, Inc.
    14. 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).
    15. 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.
    16. Hirata, Daisuke, 2014. "A model of a two-stage all-pay auction," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 5-13.
    17. 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.
    18. 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.
    19. Chiappinelli, Olga, 2014. "An elimination contest with non-sunk bids," MPRA Paper 56140, University Library of Munich, Germany.
    20. 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.
    21. Segev, Ella & Sela, Aner, 2011. "Sequential All-Pay Auctions with Head Starts," CEPR Discussion Papers 8183, C.E.P.R. Discussion Papers.
    22. 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.
    23. 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.
    24. repec:kap:expeco:v:20:y:2017:i:3:d:10.1007_s10683-016-9504-1 is not listed on IDEAS
    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

    Keywords

    Sequential all-pay auction; Complete information; Generalized cost; Generalized Stackelberg game; D72; D74;

    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

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