IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Contest functions: Theoretical foundations and issues in estimation

  • Jia, Hao
  • Skaperdas, Stergios
  • Vaidya, Samarth

Contest functions (alternatively, contest success functions) determine probabilities of winning and losing as a function of contestants' effort. They are used widely in many areas of economics that employ contest games, from tournaments and rent-seeking to conflict and sports. We first examine the theoretical foundations of contest functions and classify them into four types of derivation: stochastic, axiomatic, optimally-derived, and microfounded. The additive form (which includes the ratio or “Tullock” functional form) can be derived in all four different ways. We also explore issues in the econometric estimation of contest functions, including concerns with data, endogeneity, and model comparison.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.sciencedirect.com/science/article/pii/S0167718712000811
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Elsevier in its journal International Journal of Industrial Organization.

Volume (Year): 31 (2013)
Issue (Month): 3 ()
Pages: 211-222

as
in new window

Handle: RePEc:eee:indorg:v:31:y:2013:i:3:p:211-222
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505551

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
  2. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
  3. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, 03.
  4. Edward Miguel & Shanker Satyanath & Ernest Sergenti, 2004. "Economic Shocks and Civil Conflict: An Instrumental Variables Approach," Journal of Political Economy, University of Chicago Press, vol. 112(4), pages 725-753, August.
  5. James Heckman, 2008. "Econometric causality," CeMMAP working papers CWP01/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  6. Che, Yeon-Koo & Gale, Ian, 2000. "Difference-Form Contests and the Robustness of All-Pay Auctions," Games and Economic Behavior, Elsevier, vol. 30(1), pages 22-43, January.
  7. Konrad, Kai A., 2006. "Silent interests and all-pay auctions," International Journal of Industrial Organization, Elsevier, vol. 24(4), pages 701-713, July.
  8. Nti, Kofi O., 2004. "Maximum efforts in contests with asymmetric valuations," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1059-1066, November.
  9. Stergios Skaperdas & Samarth Vaidya, 2007. "Persuasion as a Contest," Working Papers 070809, University of California-Irvine, Department of Economics.
  10. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
  11. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, March.
  12. Baye, M. & Kovenock, D. & de Vries, C., 1990. "The All-Pay Auction with Complete Information," Discussion Paper 1990-51, Tilburg University, Center for Economic Research.
  13. Che, Yeon-Koo & Gale, Ian L, 1998. "Caps on Political Lobbying," American Economic Review, American Economic Association, vol. 88(3), pages 643-51, June.
  14. Small, Kenneth A & Hsiao, Cheng, 1985. "Multinomial Logit Specification Tests," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 619-27, October.
  15. Che, Yeon-Koo & Gale, Ian, 1997. " Rent Dissipation When Rent Seekers Are Budget Constrained," Public Choice, Springer, vol. 92(1-2), pages 109-26, July.
  16. Ronald G. Ehrenberg & Michael L. Bognanno, 1988. "Do Tournaments Have Incentive Effects?," NBER Working Papers 2638, National Bureau of Economic Research, Inc.
  17. Hausman, Jerry & McFadden, Daniel, 1984. "Specification Tests for the Multinomial Logit Model," Econometrica, Econometric Society, vol. 52(5), pages 1219-40, September.
  18. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer, vol. 7(2), pages 283-90, February.
  19. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Public Choice, Springer, vol. 63(2), pages 101-112, November.
  20. Baik, Kyung Hwan, 1998. "Difference-form contest success functions and effort levels in contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 685-701, November.
  21. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
  22. Daughety, Andrew F & Reinganum, Jennifer F, 2000. "On the Economics of Trials: Adversarial Process, Evidence, and Equilibrium Bias," Journal of Law, Economics and Organization, Oxford University Press, vol. 16(2), pages 365-94, October.
  23. Flavio Menezes & John Quiggin, 2007. "Markets for Influence," Risk & Uncertainty Working Papers WP7R07, Risk and Sustainable Management Group, University of Queensland.
  24. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "Rigging The Lobbying Process: An Application Of The All- Pay Auction," Purdue University Economics Working Papers 1002, Purdue University, Department of Economics.
  25. Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer, vol. 11(1), pages 201-204.
  26. Gil S. Epstein & Shmuel Nitzan, 2002. "Politics of Randomness," CESifo Working Paper Series 803, CESifo Group Munich.
  27. Rotte, Ralph & Schmidt, Christoph M., 2002. "On the Production of Victory: Empirical Determinants of Battlefield Success in Modern War," IZA Discussion Papers 491, Institute for the Study of Labor (IZA).
  28. Harold Gulliksen & John Tukey, 1958. "Reliability for the law of comparative judgment," Psychometrika, Springer, vol. 23(2), pages 95-110, June.
  29. Gil Epstein & Shmuel Nitzan, 2006. "The Politics of Randomness," Social Choice and Welfare, Springer, vol. 27(2), pages 423-433, October.
  30. Luis C. Corchon, 2007. "The theory of contests : a survey," Economics Working Papers we075126, Universidad Carlos III, Departamento de Economía.
  31. Hirshleifer, Jack & Osborne, Evan, 2001. " Truth, Effort, and the Legal Battle," Public Choice, Springer, vol. 108(1-2), pages 169-95, July.
  32. Garfinkel, Michelle R. & Skaperdas, Stergios, 2007. "Economics of Conflict: An Overview," Handbook of Defense Economics, Elsevier.
  33. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
  34. Alex Robson & Stergios Skaperdas, 2005. "Costly Enforcement of Property Rights and the Coase Theorem," ANU Working Papers in Economics and Econometrics 2005-455, Australian National University, College of Business and Economics, School of Economics.
  35. Theofanis Tsoulouhas & Charles Knoeber & Anup Agrawal, 2007. "Contests to become CEO: incentives, selection and handicaps," Economic Theory, Springer, vol. 30(2), pages 195-221, February.
  36. Stefan Szymanski, 2003. "The Economic Design of Sporting Contests," Journal of Economic Literature, American Economic Association, vol. 41(4), pages 1137-1187, December.
  37. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-15, September.
  38. Glenn C. Loury, 1976. "Market Structure and Innovation," Discussion Papers 256, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  39. 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 155-79, April.
  40. Fonseca, Miguel A., 2009. "An experimental investigation of asymmetric contests," International Journal of Industrial Organization, Elsevier, vol. 27(5), pages 582-591, September.
  41. Schmalensee, Richard, 1978. "A Model of Advertising and Product Quality," Journal of Political Economy, University of Chicago Press, vol. 86(3), pages 485-503, June.
  42. Birendra K. Rai & Rajiv Sarin, 2007. "Generalized Contest Success Functions," Jena Economic Research Papers 2007-082, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
  43. Sunde, Uwe, 2003. "Potential, Prizes and Performance: Testing Tournament Theory with Professional Tennis Data," IZA Discussion Papers 947, Institute for the Study of Labor (IZA).
  44. Bull, Clive & Schotter, Andrew & Weigelt, Keith, 1987. "Tournaments and Piece Rates: An Experimental Study," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 1-33, February.
  45. Jack Hirshleifer, 1995. "Theorizing About Conflict," UCLA Economics Working Papers 727, UCLA Department of Economics.
  46. Jörg Franke & Christian Kanzow & Wolfgang Leininger & Alexandra Väth, 2009. "Effort Maximization in Asymmetric N-person Contest Games," Ruhr Economic Papers 0130, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
  47. Luis Corchón & Matthias Dahm, 2010. "Foundations for contest success functions," Economic Theory, Springer, vol. 43(1), pages 81-98, April.
  48. Birendra Rai & Rajiv Sarin, 2009. "Generalized contest success functions," Economic Theory, Springer, vol. 40(1), pages 139-149, July.
  49. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-98, December.
  50. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
  51. Ronald G. Ehrenberg & Michael L. Bognanno, 1990. "The incentive effects of tournaments revisited: Evidence from the European PGA tour," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 43(3), pages 74-88, February.
  52. Konrad, Kai A., 2000. "Spatial contests," International Journal of Industrial Organization, Elsevier, vol. 18(6), pages 965-974, August.
  53. Hao Jia & Stergios Skaperdas, 2011. "Technologies of Conflict," Working Papers 101111, University of California-Irvine, Department of Economics.
  54. Muller, Holger M & Warneryd, Karl, 2001. "Inside versus Outside Ownership: A Political Theory of the Firm," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 527-41, Autumn.
  55. Blavatskyy, Pavlo R., 2010. "Contest success function with the possibility of a draw: Axiomatization," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 267-276, March.
  56. Froeb, Luke M & Kobayashi, Bruce H, 1996. "Naive, Biased, Yet Bayesian: Can Juries Interpret Selectively Produced Evidence?," Journal of Law, Economics and Organization, Oxford University Press, vol. 12(1), pages 257-76, April.
  57. Hirshleifer, Jack, 1995. "Theorizing about conflict," Handbook of Defense Economics, in: Keith Hartley & Todd Sandler (ed.), Handbook of Defense Economics, edition 1, volume 1, chapter 7, pages 165-189 Elsevier.
  58. Andrew F. Daughety & Jennifer F. Reinganum, 2000. "Appealing Judgments," RAND Journal of Economics, The RAND Corporation, vol. 31(3), pages 502-526, Autumn.
  59. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
  60. 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.
  61. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer, vol. 41(2), pages 345-357, November.
  62. Sung Ha Hwang, 2009. "Contest Success Functions: Theory and Evidence," UMASS Amherst Economics Working Papers 2009-04, University of Massachusetts Amherst, Department of Economics.
  63. Kenneth Train, 2003. "Discrete Choice Methods with Simulation," Online economics textbooks, SUNY-Oswego, Department of Economics, number emetr2.
  64. Ahn, T.K. & Isaac, R. Mark & Salmon, Timothy C., 2011. "Rent seeking in groups," International Journal of Industrial Organization, Elsevier, vol. 29(1), pages 116-125, January.
  65. Fang, Hanming, 2002. " Lottery versus All-Pay Auction Models of Lobbying," Public Choice, Springer, vol. 112(3-4), pages 351-71, September.
  66. 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.
  67. Johannes Münster, 2006. "Lobbying Contests With Endogenous Policy Proposals," Economics and Politics, Wiley Blackwell, vol. 18(3), pages 389-397, November.
  68. Reinganum, Jennifer F., 1989. "The timing of innovation: Research, development, and diffusion," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 14, pages 849-908 Elsevier.
  69. Main, Brian G M & O'Reilly, Charles A, III & Wade, James, 1993. "Top Executive Pay: Tournament or Teamwork?," Journal of Labor Economics, University of Chicago Press, vol. 11(4), pages 606-28, October.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:eee:indorg:v:31:y:2013:i:3:p:211-222. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.