This article analyzes to what extent baseball players adjust mixed strategies depending on the history by which the batting count is realized, then tests if these adjustments are aligned with best-response play. Two situations are examined: (1) pitches preceded by a borderline ball or strike at which the batter did not swing and (2) batters taking a strike as opposed to swinging and missing. Adjustments in batter and pitcher strategy on the following pitch are identified as statistically significant, however, of small magnitude. Analysis considers the effects of these adjustments on the expected runs scored during the plate appearance.
ChiapporiP. A.LevittS.GrosecloseT. (2002). Testing mixed-strategy equilibria when players are heterogeneous: The case of penalty kicks in soccer. American Economic Review, 92, 1138–1151.
2.
ColomaG. (2007). Penalty kicks in soccer: An alternative methodology for testing mixed-strategy equilibria. Journal of Sports Economics, 8, 530–545.
3.
GiusM.JohnsonD. (2000). Race and compensation in professional football. Applied Economics Letters, 7, 73–75.
4.
JaneW. (2012). Overpayment and reservation salary in the Nippon Professional Baseball League: A stochastic frontier analysis. Journal of Sports Economics, 14, 563–583.
5.
KeeferQ. A. (2011). Compensation discrimination for defensive players: Applying quantile regression to the National Football League market for linebackers. Journal of Sports Economics, 14, 23–44.
6.
KeeferQ. A. (2015). Performance feedback does not eliminate the sunk-cost fallacy: Evidence from professional football. Journal of Labor Research, 36, 409–426.
7.
KovashK.LevittS. D. (2009). Professionals do not play minimax: Evidence from Major League Baseball and the National Football League(No. w15347). Cambridge, MA: National Bureau of Economic Research.
8.
Palacios-HuertaI. (2003). Professionals play minimax. The Review of Economic Studies, 70, 395–415.
9.
PapkeL.WooldridgeJ. (1996). Econometric methods for fractional response variables with an application to 401(k) plan participation rates. Journal of Applied Econometrics, 11, 619–632.
10.
PasteurR. D.Cunningham-RhoadsK. (2014). An expectation-based metric for NFL field goal kickers. Journal of Quantitative Analysis in Sports, 10, 49–66.
11.
PopeD. G.SchweitzerM. E. (2011). Is Tiger Woods loss averse? Persistent bias in the face of experience, competition, and high stakes. The American Economic Review, 101, 129–157.
12.
RomerD. (2006). Do firms maximize? Evidence from professional football. Journal of Political Economy, 114, 340–365.
13.
ShachatJ.SwarthoutyJ. T.WeiL. (2013). Man versus Nash: An experiment on the self-enforcing nature of mixed strategy equilibrium(No. 2013-10-14). Xiamen, China: Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
14.
StawB. M.HoangH. (1995). Sunk costs in the NBA: Why draft order affects playing time and survival in professional basketball. Administrative Science Quarterly, 40, 474–494.
15.
TangoT. M.LichtmanM. G.DolphinA. E. (2007). The book: Playing the percentages in baseball. Dulles, VA: Potomac Books.
