IDEAS home Printed from https://ideas.repec.org/p/ncs/wpaper/009.html
   My bibliography  Save this paper

Are Tournaments Optimal over Piece Rates under Limited Liability for the Principal?

Author

Listed:
  • Kosmas Marinakis

    (Department of Economics, North Carolina State University)

  • Theofanis Tsoulouhas

    (Department of Economics, North Carolina State University)

Abstract

A highly acclaimed result in contract theory is that tournaments are superior to piece rate contracts when the agents are risk averse and their production activities are subject to a relatively large common shock. The reason is that tournaments allow the principal to trade insurance for lower income to the agents. Our analysis shows that this celebrated result does not carry over to the case when a limited liability constraint limits the payments the principal can make, provided that the liquidation value of the firm is sufficiently small. This finding has important implications for the vast number of limited liability firms. Tournaments are still optimal when the liquidation value of the firm is intermediate or large, even though the limited liability constraint is still binding for intermediate values. Surprisingly, uncertainty in the price of output strengthens the need for tournaments by expanding the range of liquidation values over which tournaments are optimal, because price uncertainty introduces additional bankruptcy risk.

Suggested Citation

  • Kosmas Marinakis & Theofanis Tsoulouhas, 2006. "Are Tournaments Optimal over Piece Rates under Limited Liability for the Principal?," Working Paper Series 009, North Carolina State University, Department of Economics, revised Sep 2006.
  • Handle: RePEc:ncs:wpaper:009
    Note: First draft 2006-01
    as

    Download full text from publisher

    File URL: ftp://ftp.ncsu.edu/pub/ncsu/economics/RePEc/pdf/TournamentsAndPieceRates.pdf
    Download Restriction: no
    ---><---

    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. Kai A. Konrad & Dan Kovenock, 2010. "Contests With Stochastic Abilities," Economic Inquiry, Western Economic Association International, vol. 48(1), pages 89-103, January.
    3. repec:ebl:ecbull:v:4:y:2007:i:41:p:1-9 is not listed on IDEAS
    4. Theofanis Tsoulouhas & Theofanis Tsoulouhas, 2012. "Tournaments, Contests and Relative Performance Evaluation," Economics Bulletin, AccessEcon, vol. 32(4), pages 1-45.
    5. Meyer, Margaret A & Vickers, John, 1997. "Performance Comparisons and Dynamic Incentives," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 547-581, June.
    6. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    7. Steven Wu & Brian Roe, 2006. "Tournaments, Fairness, and Risk," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(3), pages 561-573.
    8. J. David Pérez-Castrillo & Thierry Verdier, 1992. "A general analysis of rent-seeking games," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 133-148, Springer.
    9. Sarah Parlane, 2003. "Procurement Contracts under Limited Liability," The Economic and Social Review, Economic and Social Studies, vol. 34(1), pages 1-21.
    10. Innes, Robert D., 1990. "Limited liability and incentive contracting with ex-ante action choices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 45-67, October.
    11. Christian Riis, 2010. "Efficient Contests," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(3), pages 643-665, September.
    12. Theofanis Tsoulouhas, 2010. "Introduction to the Symposium on Tournaments, Contests, and Relative Performance Evaluation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(3), pages 635-641, September.
    13. Tsoulouhas, Theofanis, 1999. "Do tournaments solve the two-sided moral hazard problem?," Journal of Economic Behavior & Organization, Elsevier, vol. 40(3), pages 275-294, November.
    14. Green, Jerry R & Stokey, Nancy L, 1983. "A Comparison of Tournaments and Contracts," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 349-364, June.
    15. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    16. Armando Levy & Tomislav Vukina, 2004. "The League Composition Effect in Tournaments with Heterogeneous Players: An Empirical Analysis of Broiler Contracts," Journal of Labor Economics, University of Chicago Press, vol. 22(2), pages 353-378, April.
    17. Innes, Robert, 1993. "Debt, Futures and Options: Optimal Price-Linked Financial Contracts under Moral Hazard and Limited Liability," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(2), pages 271-295, May.
    18. Knoeber, Charles R & Thurman, Walter N, 1994. "Testing the Theory of Tournaments: An Empirical Analysis of Broiler Production," Journal of Labor Economics, University of Chicago Press, vol. 12(2), pages 155-179, April.
    19. Theofanis Tsoulouhas, 2010. "Hybrid Cardinal Tournaments," Economics Bulletin, AccessEcon, vol. 30(3), pages 2279-2288.
    20. Warneryd, Karl, 2003. "Information in conflicts," Journal of Economic Theory, Elsevier, vol. 110(1), pages 121-136, May.
    21. Theofanis Tsoulouhas & Tomislav Vukina, 1999. "Integrator Contracts with Many Agents and Bankruptcy," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(1), pages 61-74.
    22. Theofanis Tsoulouhas & Kosmas Marinakis, 2007. "Tournaments with Ex Post Heterogeneous Agents," Economics Bulletin, AccessEcon, vol. 4(41), pages 1-9.
    23. Innes, Robert, 1993. "Financial Contracting under Risk Neutrality, Limited Liability and Ex ante Asymmetric Information," Economica, London School of Economics and Political Science, vol. 60(237), pages 27-40, February.
    24. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    25. Tsoulouhas, Theofanis, 1996. "Labor and credit contracts with asymmetric information and bankruptcy," European Economic Review, Elsevier, vol. 40(8), pages 1665-1682, November.
    26. Roger E. A. Farmer, 1985. "Implicit Contracts with Asymmetric Information and Bankruptcy: The Effect of Interest Rates on Layoffs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 427-442.
    27. Donald Vandegrift & Abdullah Yavas & Paul Brown, 2007. "Incentive effects and overcrowding in tournaments: An experimental analysis," Experimental Economics, Springer;Economic Science Association, vol. 10(4), pages 345-368, December.
    28. 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.
    29. Theofanis Tsoulouhas & Tomislav Vukina, 2001. "Regulating Broiler Contracts: Tournaments Versus Fixed Performance Standards," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(4), pages 1062-1073.
    30. Kahn, Charles & Scheinkman, Jose, 1985. "Optimal employment contracts with bankruptcy constraints," Journal of Economic Theory, Elsevier, vol. 35(2), pages 343-365, August.
    31. Carmichael, H Lorne, 1983. "The Agent-Agents Problem: Payment by Relative Output," Journal of Labor Economics, University of Chicago Press, vol. 1(1), pages 50-65, January.
    32. 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.
    33. Steven Wu & Brian Roe, 2005. "Behavioral and Welfare Effects of Tournaments and Fixed Performance Contracts: Some Experimental Evidence," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(1), pages 130-146.
    34. Knoeber, Charles R, 1989. "A Real Game of Chicken: Contracts, Tournaments, and the Production of Broilers," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 5(2), pages 271-292, Fall.
    35. Sappington, David, 1983. "Limited liability contracts between principal and agent," Journal of Economic Theory, Elsevier, vol. 29(1), pages 1-21, February.
    36. Kosmas Marinakis & Theofanis Tsoulouhas, 2012. "A comparison of cardinal tournaments and piece rate contracts with liquidity constrained agents," Journal of Economics, Springer, vol. 105(2), pages 161-190, March.
    37. Wu, Steven Y. & Roe, Brian E., 2006. "AJAE Appendix: Tournaments, Fairness, and Risk," American Journal of Agricultural Economics APPENDICES, Agricultural and Applied Economics Association, vol. 88(3), pages 1-44, August.
    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. Yaoyao Wu, 2022. "Disappointment aversion in tournaments," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(1), pages 26-30, January.
    2. Theofanis Tsoulouhas, 2017. "Do tournaments solve the adverse selection problem?," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 26(3), pages 675-690, September.

    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. Theofanis Tsoulouhas, 2017. "Do tournaments solve the adverse selection problem?," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 26(3), pages 675-690, September.
    2. Kosmas Marinakis & Theofanis Tsoulouhas, 2012. "A comparison of cardinal tournaments and piece rate contracts with liquidity constrained agents," Journal of Economics, Springer, vol. 105(2), pages 161-190, March.
    3. Zhen Wang & Tomislav Vukina, 2017. "Welfare effects of payment truncation in piece rate tournaments," Journal of Economics, Springer, vol. 120(3), pages 219-249, April.
    4. Fares, M'hand & Orozco, Luis, 2014. "Tournament Mechanism in Wine-Grape Contracts: Evidence from a French Wine Cooperative," Journal of Wine Economics, Cambridge University Press, vol. 9(3), pages 320-345, December.
    5. Agranov, Marina & Tergiman, Chloe, 2013. "Incentives and compensation schemes: An experimental study," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 238-247.
    6. 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.
    7. Hammond, Robert G. & Zheng, Xiaoyong, 2013. "Heterogeneity in tournaments with incomplete information: An experimental analysis," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 248-260.
    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. Zheng, Xiaoyong & Vukina, Tomislav, 2007. "Efficiency gains from organizational innovation: Comparing ordinal and cardinal tournament games in broiler contracts," International Journal of Industrial Organization, Elsevier, vol. 25(4), pages 843-859, August.
    10. Tsoulouhas, Theofanis, 1999. "Do tournaments solve the two-sided moral hazard problem?," Journal of Economic Behavior & Organization, Elsevier, vol. 40(3), pages 275-294, November.
    11. Kimbrough, Erik O. & Laughren, Kevin & Sheremeta, Roman, 2020. "War and conflict in economics: Theories, applications, and recent trends," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 998-1013.
    12. Roman M. Sheremeta, 2016. "The pros and cons of workplace tournaments," IZA World of Labor, Institute of Labor Economics (IZA), pages 302-302, October.
    13. Armando Levy & Tomislav Vukina, 2004. "The League Composition Effect in Tournaments with Heterogeneous Players: An Empirical Analysis of Broiler Contracts," Journal of Labor Economics, University of Chicago Press, vol. 22(2), pages 353-378, April.
    14. 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.
    15. Rachael Goodhue & Leo Simon, 2016. "Agricultural contracts, adverse selection, and multiple inputs," Agricultural and Food Economics, Springer;Italian Society of Agricultural Economics (SIDEA), vol. 4(1), pages 1-33, December.
    16. repec:eee:labchp:v:3:y:1999:i:pb:p:2373-2437 is not listed on IDEAS
    17. 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).
    18. Helal, Uddin, 2002. "Protecting Contract Growers Of Broiler Chicken Industry," 2002 Annual meeting, July 28-31, Long Beach, CA 19834, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    19. Quintero Jaramillo, Jose E., 2004. "Moral hazard in teams with limited punishments and multiple outputs," DEE - Working Papers. Business Economics. WB wb040705, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    20. 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.
    21. repec:ebl:ecbull:v:4:y:2007:i:41:p:1-9 is not listed on IDEAS
    22. Wei Shi & Brian L. Connelly & Wm. Gerard Sanders, 2016. "Buying bad behavior: Tournament incentives and securities class action lawsuits," Strategic Management Journal, Wiley Blackwell, vol. 37(7), pages 1354-1378, July.

    More about this item

    Keywords

    piece rate contracts; tournaments; limited liability; bankruptcy; price uncertainty;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:ncs:wpaper:009. 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: Theofanis Tsoulouhas (email available below). General contact details of provider: https://edirc.repec.org/data/dencsus.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.