The Sunk Cost Fallacy: Evidence from the National Basketball Association Kristen LaPlante December 1, 2009 Why do we care about sunk costs? Does a higher salary lead to more playing time in the NBA? Previous literature focused on draft number: • Staw & Hoang (1995) find higher draft number reduces playing time by as much as 23 minutes in year 2, with effect decreasing over time and significant through year 5 • Camerer & Weber (1999) use more controls and alternative explanations, finding that an escalation effect persists only through year 3 and to a lesser degree Summary Statistics Table 1. Summary Statistics Minutes Played Games Started Draft Number Current Salary* Past Salary* Future Salary* # Performance Measures Points** Rebounds** Assists** Steals** Blocks** Personal Fouls** Turnovers** Field Goal Percentage Free Throw Percentage Three Point Percentage Coach's Experience Frontcourt Injured * in millions # 2001 and later ** per 36 minutes Whole Sample (n=2333) 1551.87 (936.78) 33.83 (30.83) 20.26 (14.73) 4.10 (4.10) 6.07 (13.22) 11.91 (16.94) Past Salary =0 >0 1213.23 (877.01) 1778.77 (906.86) 23.73 (27.53) 40.60 (31.07) 22.56 (15.11) 18.72 (14.28) 2.73 (3.13) 5.02 (4.41) 0 (0) 10.14 (15.84) 8.34 (13.10) 13.83 (18.41)` Salary < $5m ≥ $5m 1328.83 (881.91) 2058.64 (857.52) 26.15 (28.51) 51.29 (28.73) 22.92 (14.92) 14.21 (12.33) 1.85 (1.27) 9.20 (3.73) 1.76 (3.31) 15.85 (20.24) 3.83 (6.23) 24.75 (20.33) 13.75 (4.47) 6.57 (2.83) 2.78 (1.97) 1.12 (0.525) 0.852 (0.831) 3.77 (1.57) 12.64 (3.84) 6.39 (2.83) 2.66 (1.98) 1.16 (0.60) 0.810 (0.821) 4.09 (1.72) 14.49 (4.71) 6.69 (2.82) 2.86 (1.96) 1.09 (0.463) 0.881 (0.838) 3.56 (1.41) 12.82 (3.93) 6.44 (2.79) 0.840 (0.817) 2.64 (1.91) 1.14 (0.554) 4.02 (1.59) 15.84 (4.90) 6.86 (2.88) 0.880 (0.862) 3.11 (2.07) 1.07 (0.451) 3.22 (1.35) 2.16 (0.931) 0.445 (0.075) 0.723 (0.128) 26.73 (16.76) 8.41 (7.36) 0.616 (0.486) 0.240 (0.427) 2.18 (0.924) 0.433 (0.086) 0.707 (0.138) 26.10 (17.56) 8.24 (7.55) 0.598 (0.491) 0.307 (0.462) 2.15 (0.935) 0.452 (0.067) 0.733 (0.120) 27.12 (16.24) 8.52 (7.23) 0.628 (0.483) 0.209 (0.407) 2.14 (1.02) 43.77 (7.90) 71.21 (13.17) 26.08 (16.98) 8.00 (7.05) 0.606 (0.489) 0.245 (0.430) 2.20 (0.700) 46.02 (6.39) 74.71 (16.22) 28.12 (16.22) 9.32 (7.95) 0.640 (0.480) 0.229 (0.420) Table 2. Minutes Played Model with Performance Variables and Differing Sunk Cost Measures Dependent variable= Total minutes played (1) (2) (3) (4) (5) (6) (7) (8) Points 63.77*** 57.05*** 62.19*** 45.31*** 52.49*** 47.89*** 47.84*** 47.80*** (15.08) (13.25) (14.14) (9.81) (11.80) (10.67) (10.67) (10.66) Rebounds 39.30*** 34.34*** 37.20*** 33.59*** 27.76** 24.71** 24.46** 24.61** (4.48) (3.94) (4.17) (3.55) (3.16) (2.83) (2.80) (2.82) Blocks 48.25 24.99 45.22 22.26 33.32 14.83 14.85 14.26 (1.87) (0.97) (1.74) (0.80) (1.30) (0.58) (0.58) (0.56) Assists 85.01*** 74.56*** 82.38*** 67.28*** 67.10*** 59.99*** 60.56*** 60.88*** (8.02) (7.04) (7.64) (5.87) (6.25) (5.60) (5.65) (5.68) Steals -4.53 19.47 -1.98 70.8 18.13 36.44 38.83 36.35 (-0.14) (0.61) (-0.06) (1.93) (0.57) (1.15) (1.23) (1.15) Fouls -300.98*** -288.34*** -298.95*** -295.07*** -281.45*** -272.62*** -271.96*** -272.16*** (-20.34) (-19.54) (-20.09) (-17.88) (-18.98) (-18.44) (-18.40) (-18.42) Turnovers -125.03*** -126.94*** -121.68*** -76.39** -104.32*** -108.18*** -109.98*** -109.47*** (-5.27) (-5.41) (-5.10) (-2.83) (-4.43) (-4.63) (-4.71) (-4.69) FG% 25.19*** 25.46*** 25.46*** 30.07*** 25.71*** 25.89*** 26.33*** 26.35*** (9.24) (9.45) (9.31) (9.65) (9.57) (9.72) (9.85) (9.86) FT% 3.15* 3.66* 3.12* 3.61* 3.13* 3.58* 3.54* 3.59* (2.15) (2.53) (2.13) (2.28) (2.18) (2.50) (2.48) (2.51) 3P% 0.17 0.29 0.16 0.54 0.1 0.21 0.27 0.3 (0.18) (0.31) (0.17) (0.52) (0.11) (0.23) (0.30) (0.32) Injured -700.20*** -707.09*** -700.51*** -738.81*** -717.32*** -721.44*** -719.65*** -719.12*** (-20.79) (-21.24) (-20.80) (-20.84) (-21.57) (-21.88) (-21.83) (-21.81) Frontcourt 151.31*** 134.19** 150.02*** 104.76* 132.60** 119.81** 119.60** 120.83** (3.67) (3.28) (3.63) (2.44) (3.25) (2.96) (2.96) (2.99) Draft Number -6.57*** -5.67*** -5.59*** -5.55*** (-6.46) (-5.59) (-5.51) (-5.48) Past Earnings 1.34 (1.31) Future Contract Value# 5.36*** (6.13) Salary 26.69*** 23.85*** 24.38*** 19.16*** (7.21) (6.44) (6.56) (3.59) Coach Experience -3.17 -6.10* (-1.75) (-2.17) Coach*Salary 0.57 (1.36) Constant 307.73 503.98** 318.24 200.79 337.47 503.76** 507.24** 527.21** (1.68) (2.74) (1.73) (1.00) (1.86) (2.77) (2.79) (2.89) Adj. R-squared 0.6239 0.6327 0.6329 0.6433 0.6349 0.6414 0.6418 0.6420 ***p<.001, **p<.01, *p<..05, one tailed tests t-values are in parentheses # subset of sample, only 2001 and later Table 2. Minutes Played Model with Performance Variables and Differing Sunk Cost Measures Dependent variable= Total minutes played (1) (2) (3) (4) (5) (6) (7) (8) Draft Number -6.57*** -5.67*** -5.59*** -5.55*** (-6.46) (-5.59) (-5.51) (-5.48) Past Earnings 1.34 (1.31) # Future Contract Value 5.36*** (6.13) Salary 26.69*** 23.85*** 24.38*** 19.16*** (7.21) (6.44) (6.56) (3.59) Coach Experience -3.17 -6.10* (-1.75) (-2.17) Coach*Sal 0.57 (1.36) Constant 307.73 503.98** 318.24 200.79 337.47 503.76** 507.24** 527.21** (1.68) (2.74) (1.73) (1.00) (1.86) (2.77) (2.79) (2.89) Adj. R-squared 0.6239 0.6327 0.6329 0.6433 0.6349 0.6414 0.6418 0.6420 ***p<.001, **p<.01, *p<.05, one tailed tests t-values are in parentheses # subset of sample, only 2001 and later Table 3. Effects on performance variables when sunk costs are accounted for Dependent variable= Total minutes played Points Rebounds Assists Fouls Turnovers Injured Frontcourt No Sunk Cost Effects Draft Number Past Earnings Future Salary Salary Draft Number & Salary 63.77 39.3 85.01 -300.98 -125.03 -700.2 151.31 57.05 34.34 74.56 -288.34 -126.94 -707.09 134.19 62.19 37.2 82.38 -298.94 -121.68 -700.51 150.02 45.31 33.59 67.28 -295.07 -76.39 -738.81 104.76 52.49 27.76 67.1 -281.45 -104.32 -717.32 132.6 47.89 24.71 59.99 -272.62 -108.18 -721.44 119.81 Conclusion Public appearance seems to be driving force in playing time decisions Teams may internally “rationalize” decisions as justification for fallacy Further research should be done to capture alternate variables not included in the scope of this study The Sunk Cost Fallacy: Evidence from the National Basketball Association Kristen LaPlante December 1, 2009 Table 2. Minutes Played Model with Performance Variables and Differing Sunk Cost Measures Dependent variable= Games started (1) (2) (3) (4) (5) (6) (7) (8) Points 1.86*** 1.63*** 1.68*** 1.17*** 1.32*** 1.18*** 1.17*** 1.17*** (10.34) (8.85) (9.04) (5.70) (7.02) (6.16) (6.15) (6.15) Rebounds 1.59*** 1.42*** 1.36*** 1.63*** 1.05** 0.95* 0.94* 0.95* (4.27) (3.83) (3.61) (3.87) (2.81) (2.55) (2.54) (2.54) Blocks 3.45** 2.65* 3.12** 2.76* 2.74* 2.15* 2.15* 2.14* (3.14) (2.40) (2.83) (2.23) (2.53) (1.97) (1.98) (1.96) Assists 4.02*** 3.66*** 3.74*** 3.73*** 3.17*** 2.94*** 2.96*** 2.96*** (8.93) (8.10) (8.17) (7.31) (6.98) (6.46) (6.48) (6.49) Steals -4.01** -3.18* -3.73** -2.73 -2.93* -2.34 -2.29 -2.34 (-2.94) (-2.33) (-2.74) (-1.67) (-2.18) (-1.74) (-1.70) (-1.73) Fouls -9.34*** -8.90*** -9.12*** -8.90*** -8.41*** -8.13*** -8.11*** -8.12*** (-14.84) (-14.13) (-14.45) (-12.11) (-13.39) (-12.93) (-12.90) (-12.90) Turnovers -2.74** -2.80** -2.37* -1.79 -1.75 -1.88 -1.92 -1.91 (-2.71) (-2.80) (-2.34) (-1.49) (-1.76) (-1.89) (-1.93) (-1.92) FG% 0.74*** 0.75*** 0.77*** 0.99*** 0.76*** 0.77*** 0.78*** 0.78*** (6.35) (6.48) (6.61) (7.10) (6.69) (6.77) (6.83) (6.83) FT% 0.04 0.06 0.04 0.06 0.04 0.05 0.05 0.05 (0.64) (0.93) (0.58) (0.82) (0.64) (0.87) (0.86) (0.87) 3P% -0.07 -0.06 -0.07 0 -0.07 -0.07 -0.07 -0.07 (-1.68) (-1.59) (-1.71) (0.07) (-1.80) (-1.72) (-1.68) (-1.67) Injured -15.06*** -15.29*** -15.09*** -16.38*** -15.87*** -16.00*** -15.96*** -15.95*** (-10.51) (-10.76) (-10.57) (-10.38) (-11.26) (-11.41) (-11.38) (-11.37) Frontcourt 6.15*** 5.56** 6.01*** 4.13* 5.26** 4.85** 4.84** 4.87** (3.50) (3.18) (3.43) (2.16) (3.05) (2.82) (2.82) (2.83) Draft Number -0.23*** -0.18*** -0.18*** -0.18*** (-5.22) (-4.22) (-4.18) (-4.16) Past Earnings 0.15*** (3.41) Future Contract Value# 0.25*** (6.31) Salary 1.27*** 1.18*** 1.19*** 1.09*** (8.10) (7.48) (7.53) (4.81) Coach Experience -0.07 -0.12 (-0.91) (-1.04) Coach*Salary 0.01 (0.60) Constant -4.63 2.14 -3.47 -14.05 -3.21 2.13 2.21 2.58 (-0.59) (0.27) (-0.45) (-1.57) (-0.42) (0.28) (0.29) (0.33) Adj. R-squared 0.4419 0.4504 0.4454 0.4555 0.4625 0.4678 0.4678 0.4675 ***p<.001, **p<.01, *p<..05, one tailed tests t-values are in parentheses # subset of sample, only 2001 and later