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Tournaments with gaps

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  • 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
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    References listed on IDEAS

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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.
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    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.
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    6. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
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    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.
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    Citations

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    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.

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    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

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