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Sequential All-Pay Auctions with Head Starts

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  • Sela, Aner
  • Segev, Ella

Abstract

We study a sequential all-pay auction where heterogeneous contestants are privately informed about a parameter (ability) that affects their cost of effort. In the case of two contestants, contestant 1 (the first mover) makes an effort in the first period, while contestant 2 (the second mover) observes the effort of contestant 1 and then makes an effort in the second period. Contestant 2 wins the contest if his effort is larger than or equal to the effort of contestant 1; otherwise, contestant 1 wins. This model is then generalized to any number of contestants where in each period of the contest, 1 /

Suggested Citation

  • Sela, Aner & Segev, Ella, 2011. "Sequential All-Pay Auctions with Head Starts," CEPR Discussion Papers 8183, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:8183
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    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    3. Qiang Fu, 2006. "Endogenous timing of contest with asymmetric information," Public Choice, Springer, vol. 129(1), pages 1-23, October.
    4. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    5. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
    6. 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.
    7. Andrew Schotter & Keith Weigelt, 1992. "Asymmetric Tournaments, Equal Opportunity Laws, and Affirmative Action: Some Experimental Results," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 511-539.
    8. Che, Yeon-Koo & Gale, Ian, 2000. "Difference-Form Contests and the Robustness of All-Pay Auctions," Games and Economic Behavior, Elsevier, vol. 30(1), pages 22-43, January.
    9. Avinash Dixit, 2008. "Strategic Behavior in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 431-438, Springer.
    10. Epstein, Gil S. & Mealem, Yosef & Nitzan, Shmuel, 2011. "Political culture and discrimination in contests," Journal of Public Economics, Elsevier, vol. 95(1), pages 88-93.
    11. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    12. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    13. 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.
    14. Benny Moldovanu & Aner Sela & Xianwen Shi, 2012. "Carrots And Sticks: Prizes And Punishments In Contests," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 453-462, April.
    15. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    16. Kyung H. Baik & Jason F. Shogren, 2008. "Strategic Behavior in Contests: Comment," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 439-442, Springer.
    17. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
    18. Arieh Gavious & Benny Moldovanu & Aner Sela, 2002. "Bid Costs and Endogenous Bid Caps," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 709-722, Winter.
    19. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, January.
    20. Yeon-Koo Che & Ian L. Gale, 2008. "Caps on Political Lobbying," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 337-345, Springer.
    21. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    22. Andrew Schotter & Allan Corns, 1999. "Can Affirmative Action Be Cost Effective? An Experimental Examination of Price-Preference Auctions," American Economic Review, American Economic Association, vol. 89(1), pages 291-305, March.
    23. Raymond J. Deneckere & Dan Kovenock, 1992. "Price Leadership," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 143-162.
      • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    24. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    25. Kirkegaard, René, 2012. "Favoritism in asymmetric contests: Head starts and handicaps," Games and Economic Behavior, Elsevier, vol. 76(1), pages 226-248.
    26. Leininger, Wolfgang, 1991. "Patent competition, rent dissipation, and the persistence of monopoly: The role of research budgets," Journal of Economic Theory, Elsevier, vol. 53(1), pages 146-172, February.
    27. Linster, Bruce G, 1993. "Stackelberg Rent-Seeking," Public Choice, Springer, vol. 77(2), pages 307-321, October.
    28. Leininger, Wolfgang, 1993. "More Efficient Rent-Seeking--A Munchhausen Solution," Public Choice, Springer, vol. 75(1), pages 43-62, January.
    29. Rene Kirkegaard, 2008. "Favoritism in Contests: Head Starts and Handicaps," Working Papers 0805, Brock University, Department of Economics, revised Nov 2008.
    30. 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.
    31. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
    32. Theofanis Tsoulouhas & Charles Knoeber & Anup Agrawal, 2007. "Contests to become CEO: incentives, selection and handicaps," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(2), pages 195-221, February.
    33. Jörg Franke & Christian Kanzow & Wolfgang Leininger & Alexandra Schwartz, 2013. "Effort maximization in asymmetric contest games with heterogeneous contestants," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 589-630, March.
    34. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    35. Barry J. Nalebuff & Joseph E. Stiglitz, 1983. "Prices and Incentives: Towards a General Theory of Compensation and Competition," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 21-43, Spring.
    36. Morgan, John, 2003. "Sequential Contests," Public Choice, Springer, vol. 116(1-2), pages 1-18, July.
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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. Daniel Goller, 2023. "Analysing a built-in advantage in asymmetric darts contests using causal machine learning," Annals of Operations Research, Springer, vol. 325(1), pages 649-679, June.
    3. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2018. "Optimal favoritism in all-pay auctions and lottery contests," European Economic Review, Elsevier, vol. 104(C), pages 22-37.
    4. Sérgio O. Parreiras & Anna Rubinchik, 2020. "Ex ante heterogeneity in all-pay many-player auctions with Pareto distribution of costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 765-783, October.
    5. Segev, Ella & Sela, Aner, 2014. "Sequential all-pay auctions with noisy outputs," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 251-261.
    6. Derek J. Clark & Tore Nilssen, 2021. "Competitive balance when winning breeds winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 363-384, February.
    7. J. Atsu Amegashie, 2018. "The Political Economy of Too-Big-To-Fail," CESifo Working Paper Series 7403, CESifo.
    8. Sven Fischer & Werner Güth & Todd R. Kaplan & Ro'i Zultan, 2021. "Auctions With Leaks About Early Bids: Analysis And Experimental Behavior," Economic Inquiry, Western Economic Association International, vol. 59(2), pages 722-739, April.
    9. Clark, Derek J. & Nilssen, Tore, 2018. "Keep on fighting: The dynamics of head starts in all-pay auctions," Games and Economic Behavior, Elsevier, vol. 110(C), pages 258-272.
    10. Yizhaq Minchuk & Aner Sela, 2021. "Subsidy and Taxation in All-Pay Auctions under Incomplete," Working Papers 2104, Ben-Gurion University of the Negev, Department of Economics.
    11. 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.
    12. Noam Cohen & Guy Maor & Aner Sela, 2018. "Two-stage elimination contests with optimal head starts," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 177-192, December.
    13. J. Atsu Amegashie, 2021. "Advantageous Smallness in Contests," CESifo Working Paper Series 9419, CESifo.
    14. Jörg Franke & Wolfgang Leininger & Cédric Wasser, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 0524, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    15. Sven Fischer & Werner Güth & Todd R. Kaplan & Ro'i Zultan, 2014. "Auctions and Leaks: A Theoretical and Experimental Investigation," Jena Economics Research Papers 2014-027, Friedrich-Schiller-University Jena.
    16. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    17. Minchuk, Yizhaq & Sela, Aner, 2018. "Prebidding first-price auctions with and without head starts," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 51-55.
    18. 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.
    19. repec:zbw:rwirep:0524 is not listed on IDEAS
    20. Minchuk, Yizhaq & Sela, Aner, 2023. "Subsidy and taxation in all-pay auctions under incomplete information," Games and Economic Behavior, Elsevier, vol. 140(C), pages 99-114.
    21. Chiappinelli, Olga, 2014. "An elimination contest with non-sunk bids," MPRA Paper 56140, University Library of Munich, Germany.
    22. Clark, Derek J. & Nilssen, Tore, 2018. "Beating the Matthew Effect: Head Starts and Catching Up in a Dynamic All-Pay Auction," Memorandum 2/2018, Oslo University, Department of Economics.
    23. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 524, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    24. Dastidar, Krishnendu Ghosh & Jain, Sonakshi, 2023. "Favouritism and corruption in procurement auctions," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 10-24.

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    More about this item

    Keywords

    All-pay auctions; Head starts; Sequential contests;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

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