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TESTS ON AGGREGATED QUALIFYING AND MATCH PLAY DATA
ESTIMATION OF THE NASH EQUILIBRIUM 4 8
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Appendix Table assumption average pins Average Score better players bowlers bowling tournaments championship round data Championship Round Scores Column 1 Heterogeneous comparative static constant cost function cost of effort CUMULAVG Data Pooled derived Descriptive Statistics difference in ability effort maintaining prize equilibrium level exert more effort FIRSTSHR fixed effect model Game Score games played gaps between prizes given tournament heterogeneous player Heterogeneous Risk Averse hypothesized implication incentive condition increasing influence Labor Economics maintaining prize structure match play round measures MPRIORAV Naive Model Nash equilibrium NUMGAMES PBAVG pins per game place prize player ability player heterogeneity player homogeneity Players Game Pooled Across Tournaments prize gap prize level prize spread Professional Bowlers Association qualifying and match qualifying round reduced form restrictions Restriction Test Risk Averse Players Risk Neutral Players SDCUMUL SDPRIOR standard deviation TOPCUMUL total prize tournament format tournament model tournament theory Tournaments and Players U.S. Open value function variable ws+1 ws+i