initial 100
average payoff: 3.00000

initial 99
average payoff: 2.95018

initial 98
average payoff: 2.90549

initial 97
average payoff: 2.86284

initial 96
average payoff: 2.83403

initial 95
average payoff: 2.80096

initial 94
average payoff: 2.77198

initial 93
average payoff: 2.74369

initial 92
average payoff: 2.72621

initial 91
average payoff: 2.72485

initial 90
average payoff: 2.71165

initial 89
average payoff: 2.68109

initial 88
average payoff: 2.67123

initial 87
average payoff: 2.66218

initial 86
average payoff: 2.66416

initial 85
average payoff: 2.65520

initial 84
average payoff: 2.64850

initial 83
average payoff: 2.63546

initial 82
average payoff: 2.63009

initial 81
average payoff: 2.63435

initial 80
average payoff: 2.63848

initial 79
average payoff: 2.61755

initial 78
average payoff: 2.62812

initial 77
average payoff: 2.63390

initial 76
average payoff: 2.61973

initial 75
average payoff: 2.61589

initial 74
average payoff: 2.60161

initial 73
average payoff: 2.61959

initial 72
average payoff: 2.63248

initial 71
average payoff: 2.61669

initial 70
average payoff: 2.60304

initial 69
average payoff: 2.60538

initial 68
average payoff: 2.61677

initial 67
average payoff: 2.60015

initial 66
average payoff: 2.60456

initial 65
average payoff: 2.61133

initial 64
average payoff: 2.59801

initial 63
average payoff: 2.60217

initial 62
average payoff: 2.59043

initial 61
average payoff: 2.59103

initial 60
average payoff: 2.59336

initial 59
average payoff: 2.57033

initial 58
average payoff: 2.58056

initial 57
average payoff: 2.59431

initial 56
average payoff: 2.59982

initial 55
average payoff: 2.60509

initial 54
average payoff: 2.58035

initial 53
average payoff: 2.56318

initial 52
average payoff: 2.57587

initial 51
average payoff: 2.58248

initial 50
average payoff: 2.56488

