initial 100
average payoff: 3.00000

initial 99
average payoff: 2.99979

initial 98
average payoff: 3.00047

initial 97
average payoff: 2.99957

initial 96
average payoff: 2.99790

initial 95
average payoff: 2.99886

initial 94
average payoff: 2.99577

initial 93
average payoff: 2.99574

initial 92
average payoff: 2.99639

initial 91
average payoff: 2.99466

initial 90
average payoff: 2.98985

initial 89
average payoff: 2.99050

initial 88
average payoff: 2.98703

initial 87
average payoff: 2.98695

initial 86
average payoff: 2.98514

initial 85
average payoff: 2.98372

initial 84
average payoff: 2.98148

initial 83
average payoff: 2.97313

initial 82
average payoff: 2.97197

initial 81
average payoff: 2.96982

initial 80
average payoff: 2.95862

initial 79
average payoff: 2.96312

initial 78
average payoff: 2.95078

initial 77
average payoff: 2.94633

initial 76
average payoff: 2.94876

initial 75
average payoff: 2.94740

initial 74
average payoff: 2.93930

initial 73
average payoff: 2.93182

initial 72
average payoff: 2.91786

initial 71
average payoff: 2.91513

initial 70
average payoff: 2.90613

initial 69
average payoff: 2.90051

initial 68
average payoff: 2.90819

initial 67
average payoff: 2.89426

initial 66
average payoff: 2.88647

initial 65
average payoff: 2.88308

initial 64
average payoff: 2.87172

initial 63
average payoff: 2.87018

initial 62
average payoff: 2.86330

initial 61
average payoff: 2.84400

initial 60
average payoff: 2.84056

initial 59
average payoff: 2.83821

initial 58
average payoff: 2.82597

initial 57
average payoff: 2.83370

initial 56
average payoff: 2.81268

initial 55
average payoff: 2.80408

initial 54
average payoff: 2.80296

initial 53
average payoff: 2.81899

initial 52
average payoff: 2.79725

initial 51
average payoff: 2.77877

initial 50
average payoff: 2.77435

