IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v13y2022i3p45-d835712.html
   My bibliography  Save this article

Level- k Models and Overspending in Contests

Author

Listed:
  • Malin Arve

    (Department of Business and Management Science, Norwegian School of Economics, 5045 Bergen, Norway)

  • Marco Serena

    (Department of Public Economics, Max Planck Institute for Tax Law and Public Finance, Marstallplatz 1, D-80539 München, Germany)

Abstract

The experimental evidence on contests often reports overspending of contest participants compared to the theoretical Nash equilibrium outcome. We show that a standard level- k model may rationalize overspending in contests. This result complements the existing literature on overspending in contests, and it bridges an open gap between the contest and auction literature. In fact, the literature on auctions often runs parallel to that on contests.Overbidding in auctions has also been documented empirically, and it has been shown that, in private-value auctions, such overbidding can be rationalized by level- k reasoning. We bridge the existing gap between the auction and contest literature by showing that overbidding may also be true in a theoretical contest environment with level- k reasoning.

Suggested Citation

  • Malin Arve & Marco Serena, 2022. "Level- k Models and Overspending in Contests," Games, MDPI, vol. 13(3), pages 1-12, June.
  • Handle: RePEc:gam:jgames:v:13:y:2022:i:3:p:45-:d:835712
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/13/3/45/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2073-4336/13/3/45/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    2. Philip A. Haile & Ali Hortaçsu & Grigory Kosenok, 2008. "On the Empirical Content of Quantal Response Equilibrium," American Economic Review, American Economic Association, vol. 98(1), pages 180-200, March.
    3. John Morgan & Henrik Orzen & Martin Sefton, 2012. "Endogenous entry in contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 435-463, October.
    4. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    5. Jan Potters & Casper G. Vries & Frans Winden, 1998. "An experimental examination of rational rent-seeking," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 663-680, Springer.
    6. Eyal Baharad & Shmuel Nitzan, 2008. "Contest Efforts in Light of Behavioural Considerations," Economic Journal, Royal Economic Society, vol. 118(533), pages 2047-2059, November.
    7. Roman M. Sheremeta, 2013. "Overbidding And Heterogeneous Behavior In Contest Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 491-514, July.
    8. 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.
    9. Davis, Douglas D & Reilly, Robert J, 1998. "Do Too Many Cooks Always Spoil the Stew? An Experimental Analysis of Rent-Seeking and the Role of a Strategic Buyer," Public Choice, Springer, vol. 95(1-2), pages 89-115, April.
    10. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2013. "Structural Models of Nonequilibrium Strategic Thinking: Theory, Evidence, and Applications," Journal of Economic Literature, American Economic Association, vol. 51(1), pages 5-62, March.
    11. Roman Sheremeta & Jingjing Zhang, 2010. "Can groups solve the problem of over-bidding in contests?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 175-197, July.
    12. Ho, Teck-Hua & Camerer, Colin & Weigelt, Keith, 1998. "Iterated Dominance and Iterated Best Response in Experimental "p-Beauty Contests."," American Economic Review, American Economic Association, vol. 88(4), pages 947-969, September.
    13. Vincent P. Crawford & Nagore Iriberri, 2007. "Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Econometrica, Econometric Society, vol. 75(6), pages 1721-1770, November.
    14. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2002. "Quantal Response Equilibrium and Overbidding in Private-Value Auctions," Journal of Economic Theory, Elsevier, vol. 104(1), pages 247-272, May.
    15. Chowdhury, Subhasish M. & Sheremeta, Roman M. & Turocy, Theodore L., 2014. "Overbidding and overspreading in rent-seeking experiments: Cost structure and prize allocation rules," Games and Economic Behavior, Elsevier, vol. 87(C), pages 224-238.
    16. Roman M. Sheremeta, 2011. "Contest Design: An Experimental Investigation," Economic Inquiry, Western Economic Association International, vol. 49(2), pages 573-590, April.
    17. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    18. Lim, Wooyoung & Matros, Alexander & Turocy, Theodore L., 2014. "Bounded rationality and group size in Tullock contests: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 155-167.
    19. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    20. Eyal Baharad & Shmuel Nitzan, 2008. "Contest Efforts in Light of Behavioural Considerations," Economic Journal, Royal Economic Society, vol. 118(533), pages 2047-2059, November.
    21. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
    22. Ayala Arad & Ariel Rubinstein, 2012. "The 11-20 Money Request Game: A Level-k Reasoning Study," American Economic Review, American Economic Association, vol. 102(7), pages 3561-3573, December.
    23. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1999. "The Incidence of Overdissipation in Rent-Seeking Contests," Public Choice, Springer, vol. 99(3-4), pages 439-454, June.
    24. Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
    25. Bernard, Mark, 2010. "Level-k reasoning in contests," Economics Letters, Elsevier, vol. 108(2), pages 149-152, August.
    26. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    27. Cox, James C & Smith, Vernon L & Walker, James M, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1392-1412, December.
    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. Theofanis Tsoulouhas, 2023. "Advances in the Theory and Applications of Contests and Tournaments: Introduction to the Special Issue," Games, MDPI, vol. 14(2), pages 1-3, March.

    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. Malin Arve & Marco Serena, 2016. "Level-k Models Rationalize Overspending in Contests," Working Papers tax-mpg-rps-2018-09, Max Planck Institute for Tax Law and Public Finance.
    2. Llorente-Saguer, Aniol & Sheremeta, Roman M. & Szech, Nora, 2023. "Designing contests between heterogeneous contestants: An experimental study of tie-breaks and bid-caps in all-pay auctions," European Economic Review, Elsevier, vol. 154(C).
    3. Llorente-Saguer, Aniol & Sheremeta, Roman & Szech, Nora, 2016. "Designing Contests Between Heterogeneous Contestants: An Experimental Study of Tie-Breaks and Bid-Caps in All-Pay Auctions," MPRA Paper 71202, University Library of Munich, Germany.
    4. 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.
    5. Hoffmann, Magnus & Kolmar, Martin, 2017. "Distributional preferences in probabilistic and share contests," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 120-139.
    6. Roman M. Sheremeta, 2013. "Overbidding And Heterogeneous Behavior In Contest Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 491-514, July.
    7. Chowdhury, Subhasish M. & Sheremeta, Roman M. & Turocy, Theodore L., 2014. "Overbidding and overspreading in rent-seeking experiments: Cost structure and prize allocation rules," Games and Economic Behavior, Elsevier, vol. 87(C), pages 224-238.
    8. Boosey, Luke & Brookins, Philip & Ryvkin, Dmitry, 2017. "Contests with group size uncertainty: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 105(C), pages 212-229.
    9. Dan Kovenock & Brian Roberson & Roman M. Sheremeta, 2019. "The attack and defense of weakest-link networks," Public Choice, Springer, vol. 179(3), pages 175-194, June.
    10. Sheremeta, Roman, 2014. "Behavior in Contests," MPRA Paper 57451, University Library of Munich, Germany.
    11. Mago, Shakun D. & Sheremeta, Roman M. & Yates, Andrew, 2013. "Best-of-three contest experiments: Strategic versus psychological momentum," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 287-296.
    12. David Bruner & Caleb Cox & David M. McEvoy & Brock Stoddard, 2022. "Strategic thinking in contests," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 942-973, June.
    13. Roman Sheremeta, 2018. "Experimental Research on Contests," Working Papers 18-07, Chapman University, Economic Science Institute.
    14. Nagel, Rosemarie & Bühren, Christoph & Frank, Björn, 2017. "Inspired and inspiring: Hervé Moulin and the discovery of the beauty contest game," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 191-207.
    15. Lim, Wooyoung & Matros, Alexander & Turocy, Theodore L., 2014. "Bounded rationality and group size in Tullock contests: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 155-167.
    16. Roman M. Sheremeta, 2016. "Impulsive Behavior in Competition: Testing Theories of Overbidding in Rent-Seeking Contests," Working Papers 16-21, Chapman University, Economic Science Institute.
    17. Curtis R. Price & Roman M. Sheremeta, 2015. "Endowment Origin, Demographic Effects, and Individual Preferences in Contests," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 24(3), pages 597-619, September.
    18. Berger, Ulrich & De Silva, Hannelore & Fellner-Röhling, Gerlinde, 2016. "Cognitive hierarchies in the minimizer game," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 337-348.
    19. Subhasish M. Chowdhury & Anwesha Mukherjee & Theodore L. Turocy, 2020. "That’s the ticket: explicit lottery randomisation and learning in Tullock contests," Theory and Decision, Springer, vol. 88(3), pages 405-429, April.
    20. Shupp, Robert & Sheremeta, Roman M. & Schmidt, David & Walker, James, 2013. "Resource allocation contests: Experimental evidence," Journal of Economic Psychology, Elsevier, vol. 39(C), pages 257-267.

    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:gam:jgames:v:13:y:2022:i:3:p:45-:d:835712. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.