Selecting the Best? Spillover and Shadows in Elimination Tournaments

We consider how past, current, and future competition within an elimination tournament affect the probability that the stronger player wins. We present a two-stage model that yields the following main results: (1) a shadow effect wherein the stronger the expected future competitor, the lower the probability that the stronger player wins in the current stage; and (2) an effort spillover effect wherein previous effort reduces the probability that the stronger player wins in the current stage. We test our theory predictions using data from high-stakes tournaments. Empirical results suggest that shadow and spillover effects influence match outcomes and have already been priced into betting markets. This paper was accepted by Bruno Cassiman, business strategy.

[1]  Derek J. Clark,et al.  Rank-order tournaments and selection , 1996 .

[2]  Dmitry Ryvkin.  Tournaments of Weakly Heterogeneous Players , 2009 .

[3]  Aner Sela,et al.  Dynamic contests with resource constraints , 2013, Soc. Choice Welf..

[4]  E. Lazear,et al.  Rank-Order Tournaments as Optimum Labor Contracts , 1979, Journal of Political Economy.

[5]  Florian Ederer,et al.  Feedback and Motivation in Dynamic Tournaments , 2010 .

[6]  Leighton Vaughan Williams,et al.  Information Efficiency in Betting Markets: A Survey , 1999 .

[7]  Kai A. Konrad,et al.  Strategy and Dynamics in Contests , 2009 .

[8]  Uwe Sunde,et al.  Heterogeneity and performance in tournaments: a test for incentive effects using professional tennis data , 2009 .

[9]  Vasant A. Sukhatme,et al.  Testing Rosen's Sequential Elimination Tournament Model , 2008 .

[10]  Luís M. B. Cabral,et al.  R&D Competition when firms Choose Variance , 2003 .

[11]  Tournament incentives and match outcomes in women's professional tennis , 2008 .

[12]  Dmitry Ryvkin,et al.  Fatigue in Dynamic Tournaments , 2011 .

[13]  Hans K. Hvide.  Tournament Rewards and Risk Taking , 1999, Journal of Labor Economics.

[14]  Ian G. McHale,et al.  Anyone for Tennis (Betting)? , 2007 .

[15]  B. Moldovanu,et al.  The Optimal Allocation of Prizes in Contests , 2001 .

[16]  Derek J. Clark,et al.  Contingent payments in selection contests , 2007 .

[17]  E. Klein,et al.  SELECTing the best. , 2007, The Journal of urology.

[18]  J. Wooders,et al.  Minimax Play at Wimbledon , 2001 .

[19]  Uwe Sunde,et al.  Optimal seedings in elimination tournaments , 2012 .

[20]  Dylan B. Minor,et al.  Increasing E¤ort through Softening Incentives in Contests , 2010 .

[21]  Bill M. Woodland,et al.  Expected utility, skewness, and the baseball betting market , 1999 .

[22]  Donald T. Searls,et al.  On the Probability of Winning with Different Tournament Procedures , 1963 .

[23]  Kyung Hwan Baik,et al.  Effort Levels in Contests with Two Asymmetric Players , 1994 .

[24]  Jennifer Brown,et al.  Quitters Never Win: The (Adverse) Incentive Effects of Competing with Superstars , 2011, Journal of Political Economy.

[25]  Jingfeng Lu,et al.  The optimal multi-stage contest , 2012 .

[26]  Tommaso M. Valletti,et al.  Incentive effects of second prizes , 2005 .

[27]  Edward P. Lazear,et al.  Salaries and Piece Rates , 1986 .

[28]  Martin Spann,et al.  Internet-Based Virtual Stock Markets for Business Forecasting , 2003, Manag. Sci..

[29]  Dmitry Ryvkin,et al.  The selection efficiency of tournaments , 2010, Eur. J. Oper. Res..

[30]  Andreas Ortmann,et al.  The Predictive Power of Three Prominent Tournament Formats , 2008, Manag. Sci..

[31]  David A. Malueg,et al.  Testing Contest Theory: Evidence from Best-of-Three Tennis Matches , 2010, The Review of Economics and Statistics.

[32]  E. Fama.  EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* , 1970 .

[33]  Robert Shupp,et al.  Multi-period rent-seeking contests with carryover: Theory and experimental evidence , 2004 .

[34]  Hans K. Hvide,et al.  Risk Taking in Selection Contests , 2000, Games Econ. Behav..

[35]  Jan R. Magnus,et al.  Forecasting the winner of a tennis match , 2003, Eur. J. Oper. Res..

[36]  Tilman Klumpp,et al.  Early Round Upsets and Championship Blowouts , 2004 .

[37]  Olivier Gossner,et al.  Performing best when it matters most: Evidence from professional tennis , 2012 .

[38]  Walter N. Thurman,et al.  Testing the Theory of Tournaments: An Empirical Analysis of Broiler Production , 1994, Journal of Labor Economics.

[39]  R. Tollison,et al.  Toward a theory of the rent-seeking society , 1982 .

[40]  G. Tullock.  Efficient Rent Seeking , 2001 .

[41]  Martin Spann,et al.  Sports forecasting: a comparison of the forecast accuracy of prediction markets, betting odds and tipsters , 2009 .