[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/hhs/osloec/2018_002.html
   My bibliography  Save this paper

Beating the Matthew Effect: Head Starts and Catching Up in a Dynamic All-Pay Auction

Author

Listed:
Abstract
We consider an effort-maximizing principal distributing a prize fund over two consecutive all-pay auctions. The two contestants are doubly heterogeneous: one of them has a head start in the fi rst contest; and winning contest one gives an advantage in contest two that varies between players. We show that, with a large head start, the principal chooses a zero prize in contest two, i.e., runs a single contest. Otherwise, the laggard winning contest one may overturn the leaders head start, possibly inciting expected efforts equal to the prize value, avoiding the laggard giving up, and this way mitigating the Matthew effect.

Suggested Citation

  • 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.
  • Handle: RePEc:hhs:osloec:2018_002
    as

    Download full text from publisher

    File URL: http://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2018/memo0218.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mehlum, Halvor & Moene, Karl, 2008. "King of the Hill: Positional Dynamics in Contests," Memorandum 06/2008, Oslo University, Department of Economics.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. 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.
    4. Nancy Gallini & Suzanne Scotchmer, 2002. "Intellectual Property: When Is It the Best Incentive System?," NBER Chapters, in: Innovation Policy and the Economy, Volume 2, pages 51-78, National Bureau of Economic Research, Inc.
    5. Reut Megidish & Aner Sela, 2014. "Sequential contests with synergy and budget constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 215-243, January.
    6. Dan Kovenock & Brian Roberson, 2009. "Is the 50-State Strategy Optimal?," Journal of Theoretical Politics, , vol. 21(2), pages 213-236, April.
    7. Li, Sanxi & Yu, Jun, 2012. "Contests with endogenous discrimination," Economics Letters, Elsevier, vol. 117(3), pages 834-836.
    8. 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.
    9. 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.
    10. 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.
    11. Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-131, March.
    12. Bernd Skiera & Sönke Albers, 1998. "COSTA: Contribution Optimizing Sales Territory Alignment," Marketing Science, INFORMS, vol. 17(3), pages 196-213.
    13. Aner Sela, 2012. "Sequential two-prize contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 383-395, October.
    14. Hirata, Daisuke, 2014. "A model of a two-stage all-pay auction," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 5-13.
    15. Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 1-21.
    16. 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.
    17. 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.
    18. 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.
    19. Elie Ofek & Miklos Sarvary, 2003. "R&D, Marketing, and the Success of Next-Generation Products," Marketing Science, INFORMS, vol. 22(3), pages 355-370, July.
    20. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    21. Kirkegaard, René, 2012. "Favoritism in asymmetric contests: Head starts and handicaps," Games and Economic Behavior, Elsevier, vol. 76(1), pages 226-248.
    22. Clark, D.J. & Riis, C., 1995. "Social Welfare and Rent-Seeking Paradox," Memorandum 1995_023, Oslo University, Department of Economics.
    23. Derek Clark & Tore Nilssen, 2013. "Learning by doing in contests," Public Choice, Springer, vol. 156(1), pages 329-343, July.
    24. Barut, Yasar & Kovenock, Dan, 1998. "The symmetric multiple prize all-pay auction with complete information," European Journal of Political Economy, Elsevier, vol. 14(4), pages 627-644, November.
    25. Segev, Ella & Sela, Aner, 2014. "Sequential all-pay auctions with noisy outputs," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 251-261.
    26. Christian Groh & Benny Moldovanu & Aner Sela & Uwe Sunde, 2012. "Optimal seedings in elimination tournaments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 59-80, January.
    27. Halvor Mehlum & Karl Moene, 2006. "Fighting against the odds," Economics of Governance, Springer, vol. 7(1), pages 75-87, January.
    28. 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.
    29. Ron Siegel, 2014. "Asymmetric Contests with Head Starts and Nonmonotonic Costs," American Economic Journal: Microeconomics, American Economic Association, vol. 6(3), pages 59-105, August.
    30. Alex Krumer, 2013. "Best-of-two contests with psychological effects," Theory and Decision, Springer, vol. 75(1), pages 85-100, July.
    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. Lauber, Arne & March, Christoph & Sahm, Marco, 2023. "Optimal and fair prizing in sequential round-robin tournaments: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 141(C), pages 30-51.
    2. 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.

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Clark, Derek J. & Nilssen , Tore & Sand, Jan Yngve, 2014. "Keep on Fighting: Dynamic Win Effects in an All-Pay Auction," Memorandum 23/2014, Oslo University, Department of Economics.
    6. Aner Sela, 2016. "Two Stage Contests With Effort-Dependent Rewards," Working Papers 1612, Ben-Gurion University of the Negev, Department of Economics.
    7. 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.
    8. 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.
    9. Aner Sela, 2017. "Two-stage contests with effort-dependent values of winning," Review of Economic Design, Springer;Society for Economic Design, vol. 21(4), pages 253-272, December.
    10. 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.
    11. repec:zbw:rwirep:0524 is not listed on IDEAS
    12. Malin Arve & Olga Chiappinelli, 2021. "The Role of Budget Constraints in Sequential Elimination Tournaments," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(4), pages 1059-1087, October.
    13. Derek J. Clark & Tore Nilssen & Jan Yngve Sand, 2020. "Gaining advantage by winning contests," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 23-38, June.
    14. 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.
    15. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    16. 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.
    17. Segev, Ella & Sela, Aner, 2014. "Multi-stage sequential all-pay auctions," European Economic Review, Elsevier, vol. 70(C), pages 371-382.
    18. Häfner, Samuel, 2017. "A tug-of-war team contest," Games and Economic Behavior, Elsevier, vol. 104(C), pages 372-391.
    19. HHironori Otsubo, 2012. "Contests with Incumbency Advantages: An Experiment Investigation of the Effect of Limits on Spending Behavior and Outcome," Jena Economics Research Papers 2012-020, Friedrich-Schiller-University Jena.
    20. Krumer, Alex & Megidish, Reut & Sela, Aner, 2023. "Strategic manipulations in round-robin tournaments," Mathematical Social Sciences, Elsevier, vol. 122(C), pages 50-57.
    21. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.

    More about this item

    Keywords

    Contest; All-pay auction; Head start; Catching up; Mathhew effect;
    All these keywords.

    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:hhs:osloec:2018_002. 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: Mari Strønstad Øverås (email available below). General contact details of provider: https://edirc.repec.org/data/souiono.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.