initial 100
average payoff: 3.00000

initial 99
average payoff: 2.97966

initial 98
average payoff: 2.95929

initial 97
average payoff: 2.95279

initial 96
average payoff: 2.93804

initial 95
average payoff: 2.92588

initial 94
average payoff: 2.92942

initial 93
average payoff: 2.91840

initial 92
average payoff: 2.91388

initial 91
average payoff: 2.90843

initial 90
average payoff: 2.92066

initial 89
average payoff: 2.92965

initial 88
average payoff: 2.92924

initial 87
average payoff: 2.95765

initial 86
average payoff: 2.96134

initial 85
average payoff: 2.97169

initial 84
average payoff: 3.00122

initial 83
average payoff: 2.98336

initial 82
average payoff: 3.01384

initial 81
average payoff: 3.04034

initial 80
average payoff: 3.06367

initial 79
average payoff: 3.07433

initial 78
average payoff: 3.10970

initial 77
average payoff: 3.11741

initial 76
average payoff: 3.14570

initial 75
average payoff: 3.15971

initial 74
average payoff: 3.18215

initial 73
average payoff: 3.22297

initial 72
average payoff: 3.24879

initial 71
average payoff: 3.28539

initial 70
average payoff: 3.30713

initial 69
average payoff: 3.32434

initial 68
average payoff: 3.34521

initial 67
average payoff: 3.37799

initial 66
average payoff: 3.41274

initial 65
average payoff: 3.43453

initial 64
average payoff: 3.47276

initial 63
average payoff: 3.50297

initial 62
average payoff: 3.54311

initial 61
average payoff: 3.56188

initial 60
average payoff: 3.60816

initial 59
average payoff: 3.63042

initial 58
average payoff: 3.66521

initial 57
average payoff: 3.70552

initial 56
average payoff: 3.72698

initial 55
average payoff: 3.76203

initial 54
average payoff: 3.80321

initial 53
average payoff: 3.83295

initial 52
average payoff: 3.86074

initial 51
average payoff: 3.87988

initial 50
average payoff: 3.91134

