APPENDIX Table A1: Experimental studies of the acquiring a company game Seller value Paper Design 5 values Casari et al. (2015: this study) 100 values Baseline Ball, Bazerman, Role Reversal Carroll (1991) Extended Trial 100 values 100 values Charness and 2 values Levin (2009) 2 values 4 values Cooper and Sutter 3 values (2011) Winner's Curse Holt and Sherman No Curse (1994) Loser's Curse Lower bound of 1 Selton, Abbink, Lower bound of 11 and Cox (2005) Lower bound of 21 Control Yes-No Decision 1st Bereby-Meyer and Average Full Grosskopf (2008) Feedback Average Only Gamble Control Varying k Grosskopf, Sym-Asym Bereby-Meyer, Sym-Asym Compar. Bazerman (2007) Exper 2: Control Exper 2: Foregone Control High Motives Carroll, Delquie, Halpern, Training (x4) Bazerman (1990) Exper. Mngrs Exper. Bankers Tor and Bazerman (2003) Lower bound Upper bound 38 21 0 0 0 0 20 0 20 0 240 120 100 100 100 99 119 99 119 99 90 1200 1.5 1 0.5 1 11 21 0 0 6 3 1 99 99 99 100 100 0 Value Continuo multiplier is us set? 50%? Y Y Y Y Y Y Y Y Y Y Y Y Y Equilibrium bid in choice set 11% 22% 0% 0% 0% 0% 20% 0% 0% 0% No. repetitions 26 26 20 20 20 60 60 60 60 60 Y 5% 40 Y Y Y Y Y Y Y Y Y Y Y Y Y 33% 50% 100% 0-1% 11-13% 26-27% 0% 0% 30 30 30 100 100 100 100 100 100 Y Y 0% 100 0 0 0 0 0 0 0 0 0 0 0 0 0 100 100 100 100 100 100 100 100 100 100 100 100 100 Y Y Y Y Y Y Y Y Y Y Y Y Y 0% 0% 0% 0%, 100% 0%, 51% 0%, 51% 0%, 51% 0%, 51% 0% 0% 0% 0% 0% 100 100 100, 5 parts 100, 5 parts 100, 5 parts 100, 5 parts 80+20 switch 80+20 switch 1 1 1 1 1 0 100 Y Y 0% 1 Y Y Y Y Y Y Y Y Y Y Y Notes to Table A1: The subjects were undergraduate students except in the following studies. Ball, Bazerman, Carroll (1991) used 1st year Master students; Bereby-Meyer and Grosskopf (2008) used Boston area people, varied in education and background; Grosskopf, Bereby-Meyer, Bazerman (2007) used Boston area people, age 18 to 60; Carroll, Delquie, Halpern, Bazerman (1990) used 1st year Master's students in OBHR class, 2nd year Master's students in advanced Marketing class, Managers in a weeklong seminar and Master's graduates in investment banking; Tor and Bazerman (2003) used both graduate and undergraduate students. Other papers used standard undergraduate students as subjects. Table A2: Descriptive statistics on simulated median bids 5-value (easy task) 100-value (difficult task) Individual treatment Group treatment Individual treatment Group treatment control part main part control part main part control part main part control part main part Simulated median bid distribution (percentages) (Near) Optimal: bids that yield highest expected profit 33.97 44.40 36.58 60.13 8.16 16.76 15.47 7.74 Suboptimal: bids that yield positive expected profits 53.99 46.24 53.48 36.41 14.13 11.33 13.66 28.54 Winner’s curse: bids that yield negative expected profits 12.04 9.36 9.94 3.46 77.71 71.92 70.87 63.72 36000 120000 36000 120000 36000 120000 36000 120000 Number of simulated observations Notes: In the group treatment, Main part, the simulations were run on the individual proposed bids without regard for the experimental group membership. Table A3: Lottery choice task Option A Option B Decision node Payoffs Payoffs Probability of getting 150 tokens 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 150 or 0 Risk Preference Expected payoff of option B Range of CRRA If switch from A to B at the following decision node 0 0 r<-1.73 0.05 7.5 -1.73<r<-1.1 0.1 15 -1.1<r<-0.73 0.15 22.5 -0.73<r<-0.47 0.2 30 -0.47<r<-0.27 0.25 37.5 -0.27<r<-0.1 0.3 45 -0.1<r<0.04 0.35 52.5 0.04<r<0.16 0.4 60 0.16<r<0.27 0.45 67.5 0.27<r<0.36 0.5 75 0.36<r<0.45 0.55 82.5 0.45<r<0.53 0.6 90 0.53<r<0.6 0.65 97.5 0.6<r<0.66 0.7 105 0.66<r Percentage of monotonic decision makers Individual Choices Frequency of choices for B (%) 0.00 0.00 0.00 0.00 1.69 3.39 5.08 14.41 22.03 29.66 62.71 72.03 82.20 90.68 94.92 87.41 Group Choices Frequency of choices for B (%) 0.00 0.00 0.00 0.00 0.00 0.00 0.76 13.64 16.67 36.36 69.70 83.33 88.64 95.45 97.73 97.81 Notes: Everyone should choose option A in decision 1. Risk neutral subjects would switch to option B in decision 8 (italics). A switch in later decisions reveals risk aversion and a switch in earlier decisions reveals risk seeking behavior. Number of observations: 118 in individual choices and 132 in group choices (non-monotonic choices are excluded). Table A4: Summary of descriptive statistics Percentage of Bids By Type 5-value (easy task) 100-value (difficult task) Individual Group Individual Individual Group Individual Bid Bid Proposal Bid Bid Proposal (Near) Optimal control main 1-6 main 7-12 main 13-20 35.6% 42.2% 35.6% 35.4% 30.6% 47.5% 51.7% 51.9% 30.6% 43.3% 48.6% 52.3% 15.6% 23.3% 22.2% 22.5% 22.2% 6.7% 13.3% 17.5% 22.2% 11.1% 12.8% 19.6% Winner’s Curse control main 1-6 main 7-12 main 13-20 20.0% 18.3% 17.2% 19.2% 18.3% 9.2% 9.2% 10.6% 18.3% 11.4% 10.6% 9.8% 70.0% 65.6% 62.2% 68.3% 64.4% 75.0% 61.7% 48.8% 64.4% 72.8% 60.6% 49.6% Table A5: Within-treatment comparison: Wilcoxon signed-rank test, two-sided p-values 5-value (easy task) 100-value (difficult task) compare control vs. main (1-6) (near) optimal winner's curse (near) optimal winner's curse individual bid n=30 0.1119 0.4453 individual bid n=15 0.0087 0.2245 group bid n=20 0.108 0.0346 group bid n=10 0.0395 0.4443 compare main (1-6) vs. main (13-20) (near) optimal winner's curse (near) optimal winner's curse individual bid n=30 0.2121 1.000 individual bid n=15 0.6474 0.8414 group bid n=20 0.3761 0.9323 group bid n=10 0.0842 0.0107 compare control (1-6) vs. main (13-20) (near) optimal winner's curse (near) optimal winner's curse individual bid n=30 0.9917 0.3392 individual bid n=15 0.2335 0.4545 group bid n=20 0.0380 0.0261 group bid n=10 0.2591 0.2023 Table A6: Fisher exact tests comparing the percentages of improved and worsen groups across treatments 5-value Improved Worsen + Constant Total Individual Treatment 12 18 30 Group Treatment 14 6 20 Fisher Exact Test (two-sided) p=0.048 Improved Worsen+ Constant Total 7 8 15 6 4 10 p=0.668 Table A7: Between treatment comparison: Robust rank order tests, one-tailed asymptotic p-value Changes from control part to main part Individual Treatment Group Treatment Robust rank order tests (Near) Optimal 1.9 19.9 p=0.057 5-value Winner's Curse -1.9 -8.5 p=0.057 100-value (Near) Winner's Optimal Curse 7.1 -4.3 -9.2 -3.9 p=0.244 p=0.006
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