initial 100
average payoff: 3.00000

initial 99
average payoff: 2.97300

initial 98
average payoff: 2.94561

initial 97
average payoff: 2.92197

initial 96
average payoff: 2.89866

initial 95
average payoff: 2.86839

initial 94
average payoff: 2.84553

initial 93
average payoff: 2.81850

initial 92
average payoff: 2.80173

initial 91
average payoff: 2.77929

initial 90
average payoff: 2.74488

initial 89
average payoff: 2.72439

initial 88
average payoff: 2.69637

initial 87
average payoff: 2.66844

initial 86
average payoff: 2.65737

initial 85
average payoff: 2.62422

initial 84
average payoff: 2.61291

initial 83
average payoff: 2.59485

initial 82
average payoff: 2.56821

initial 81
average payoff: 2.54226

initial 80
average payoff: 2.51862

initial 79
average payoff: 2.50347

initial 78
average payoff: 2.48271

initial 77
average payoff: 2.45004

initial 76
average payoff: 2.43549

initial 75
average payoff: 2.40630

initial 74
average payoff: 2.38791

initial 73
average payoff: 2.36613

initial 72
average payoff: 2.35368

initial 71
average payoff: 2.32659

initial 70
average payoff: 2.30493

initial 69
average payoff: 2.26428

initial 68
average payoff: 2.24580

initial 67
average payoff: 2.23086

initial 66
average payoff: 2.21760

initial 65
average payoff: 2.19279

initial 64
average payoff: 2.18190

initial 63
average payoff: 2.16333

initial 62
average payoff: 2.13399

initial 61
average payoff: 2.11689

initial 60
average payoff: 2.08968

initial 59
average payoff: 2.07261

initial 58
average payoff: 2.05113

initial 57
average payoff: 2.02788

initial 56
average payoff: 2.01075

initial 55
average payoff: 1.98297

initial 54
average payoff: 1.96473

initial 53
average payoff: 1.94244

initial 52
average payoff: 1.91184

initial 51
average payoff: 1.89921

initial 50
average payoff: 1.87293

