IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v122y2014i2p211-214.html
   My bibliography  Save this article

Tournaments with gaps

Author

Listed:
  • Imhof, Lorens
  • Kräkel, Matthias

Abstract

A standard tournament contract specifies only tournament prizes. If agents’ performance is measured on a cardinal scale, the principal can complement the tournament contract by a gap which defines the minimum distance by which the best performing agent must beat the second best to receive the winner prize. We analyze a tournament with two risk averse agents. Under unlimited liability, the principal strictly benefits from a gap by partially insuring the agents and thereby reducing labor costs. If the agents are protected by limited liability, the principal sticks to the standard tournament.

Suggested Citation

  • Imhof, Lorens & Kräkel, Matthias, 2014. "Tournaments with gaps," Economics Letters, Elsevier, vol. 122(2), pages 211-214.
    • Handle: RePEc:eee:ecolet:v:122:y:2014:i:2:p:211-214
    DOI: 10.1016/j.econlet.2013.11.018
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176513005120
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2013.11.018?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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. Hisaki Kono & Nobuyuki Yagi, 2008. "Heterogeneous Contests And Less Informative Signals," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 113-126, March.
    3. Anja Schöttner, 2008. "Fixed-prize tournaments versus first-price auctions in innovation contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(1), pages 57-71, April.
    4. Gürtler, Oliver, 2011. "The first-order approach in rank-order tournaments," Economics Letters, Elsevier, vol. 111(3), pages 185-187, June.
    5. Imhof, Lorens & Kräkel, Matthias, 2014. "Bonus pools and the informativeness principle," European Economic Review, Elsevier, vol. 66(C), pages 180-191.
    6. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
    7. Prendergast, Canice & Topel, Robert H, 1996. "Favoritism in Organizations," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 958-978, October.
    8. James M. Malcomson, 1986. "Rank-Order Contracts for a Principal with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 807-817.
    9. Malcomson, James M, 1984. "Work Incentives, Hierarchy, and Internal Labor Markets," Journal of Political Economy, University of Chicago Press, vol. 92(3), pages 486-507, June.
    10. 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.
    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. Alberto Vesperoni, 2016. "A contest success function for rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 905-937, December.
    2. Deng, Shanglyu & Wang, Xiruo & Wu, Zenan, 2018. "Incentives in lottery contests with draws," Economics Letters, Elsevier, vol. 163(C), pages 1-5.
    3. Li, Bo & Wu, Zenan & Xing, Zeyu, 2023. "Optimally biased contests with draws," Economics Letters, Elsevier, vol. 226(C).
    4. Goel, Sumit & Goyal, Amit, 2023. "Optimal tie-breaking rules," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    5. Aner Sela, 2022. "Ineffective Prizes In Multi-Dimensional Contests," Working Papers 2205, Ben-Gurion University of the Negev, Department of Economics.
    6. Alan Gelder & Dan Kovenock & Brian Roberson, 2022. "All-pay auctions with ties," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(4), pages 1183-1231, November.
    7. Matthias Menter & Erik E. Lehmann & Torben Klarl, 2018. "In search of excellence: a case study of the first excellence initiative of Germany," Journal of Business Economics, Springer, vol. 88(9), pages 1105-1132, December.
    8. Gelder, Alan & Kovenock, Dan & Sheremeta, Roman, 2015. "Behavior in All-Pay Auctions with Ties," MPRA Paper 67517, University Library of Munich, Germany.

    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. Imhof, Lorens & Kräkel, Matthias, 2014. "Bonus pools and the informativeness principle," European Economic Review, Elsevier, vol. 66(C), pages 180-191.
    2. Kräkel, Matthias & Nieken, Petra, 2015. "Relative performance pay in the shadow of crisis," European Economic Review, Elsevier, vol. 74(C), pages 244-268.
    3. Lorens Imhof & Matthias Kräkel, 2016. "Ex post unbalanced tournaments," RAND Journal of Economics, RAND Corporation, vol. 47(1), pages 73-98, February.
    4. Kräkel, Matthias, 2012. "Competitive careers as a way to mediocracy," European Journal of Political Economy, Elsevier, vol. 28(1), pages 76-87.
    5. Kräkel, Matthias & Schöttner, Anja, 2008. "Relative Performance Pay, Bonuses, and Job-Promotion Tournaments," IZA Discussion Papers 3702, Institute of Labor Economics (IZA).
    6. repec:eee:labchp:v:3:y:1999:i:pb:p:2373-2437 is not listed on IDEAS
    7. Kräkel, Matthias, 2004. "Tournaments versus Piece Rates under Limited Liability," Bonn Econ Discussion Papers 8/2004, University of Bonn, Bonn Graduate School of Economics (BGSE).
    8. Kräkel, Matthias & Schöttner, Anja, 2010. "Technology Choice and Incentives under Relative Performance Schemes," Bonn Econ Discussion Papers 10/2010, University of Bonn, Bonn Graduate School of Economics (BGSE).
    9. Bastani, Spencer & Giebe, Thomas & Gürtler, Oliver, 2022. "Simple equilibria in general contests," Games and Economic Behavior, Elsevier, vol. 134(C), pages 264-280.
    10. P.-J. Jost & M. Kräkel, 2005. "Preemptive behavior in sequential-move tournaments with heterogeneous agents," Economics of Governance, Springer, vol. 6(3), pages 245-252, November.
    11. Matthias Kräkel, 2014. "Sandbagging," Journal of Sports Economics, , vol. 15(3), pages 263-284, June.
    12. Kräkel, Matthias & Schöttner, Anja, 2010. "Technology choice, relative performance pay, and worker heterogeneity," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 748-758, December.
    13. Jed DeVaro & Antti Kauhanen, 2016. "An “Opposing Responses” Test of Classic versus Market-Based Promotion Tournaments," Journal of Labor Economics, University of Chicago Press, vol. 34(3), pages 747-779.
    14. Ewerhart, Christian, 2016. "An envelope approach to tournament design," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 1-9.
    15. repec:eee:labchp:v:3:y:1999:i:pb:p:2291-2372 is not listed on IDEAS
    16. Kräkel, Matthias, 2002. "U-type versus J-type Tournaments as Alternative Solutions to the Unverifiability Problem," Bonn Econ Discussion Papers 3/2002, University of Bonn, Bonn Graduate School of Economics (BGSE).
    17. Krakel, Matthias, 2003. "U-type versus J-type tournaments as alternative solutions to the unverifiability problem," Labour Economics, Elsevier, vol. 10(3), pages 359-380, June.
    18. Robert Dur & Jan Tichem, 2012. "Social Relations and Relational Incentives," Tinbergen Institute Discussion Papers 12-054/1, Tinbergen Institute.
    19. Jost, Peter-J. & Kräkel, Matthias, 2008. "Human capital investments in asymmetric corporate tournaments," Journal of Economics and Business, Elsevier, vol. 60(4), pages 312-331.
    20. Joseph A. Ritter & Lowell J. Taylor, 1999. "Low-powered incentives," Working Papers 1999-005, Federal Reserve Bank of St. Louis.
    21. Bentley Coffey & M. T. Maloney, 2010. "The Thrill of Victory: Measuring the Incentive to Win," Journal of Labor Economics, University of Chicago Press, vol. 28(1), pages 87-112, January.
    22. Ola Kvaløy & Trond E. Olsen, 2012. "The Rise of Individual Performance Pay," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 21(2), pages 493-518, June.

    More about this item

    Keywords

    Contest; Contract; Moral hazard; Risk aversion; Unlimited liability;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

    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:eee:ecolet:v:122:y:2014:i:2:p:211-214. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.