initial 100
average payoff: 3.00000

initial 99
average payoff: 2.90198

initial 98
average payoff: 2.81696

initial 97
average payoff: 2.75357

initial 96
average payoff: 2.68553

initial 95
average payoff: 2.64420

initial 94
average payoff: 2.60126

initial 93
average payoff: 2.55421

initial 92
average payoff: 2.51861

initial 91
average payoff: 2.49327

initial 90
average payoff: 2.48035

initial 89
average payoff: 2.46179

initial 88
average payoff: 2.42592

initial 87
average payoff: 2.40557

initial 86
average payoff: 2.40366

initial 85
average payoff: 2.37857

initial 84
average payoff: 2.36611

initial 83
average payoff: 2.36211

initial 82
average payoff: 2.35341

initial 81
average payoff: 2.33750

initial 80
average payoff: 2.33278

initial 79
average payoff: 2.33192

initial 78
average payoff: 2.31806

initial 77
average payoff: 2.31928

initial 76
average payoff: 2.29934

initial 75
average payoff: 2.30496

initial 74
average payoff: 2.30333

initial 73
average payoff: 2.28246

initial 72
average payoff: 2.28348

initial 71
average payoff: 2.28390

initial 70
average payoff: 2.27007

initial 69
average payoff: 2.27251

initial 68
average payoff: 2.27097

initial 67
average payoff: 2.25758

initial 66
average payoff: 2.26905

initial 65
average payoff: 2.25440

initial 64
average payoff: 2.26220

initial 63
average payoff: 2.25839

initial 62
average payoff: 2.24846

initial 61
average payoff: 2.25747

initial 60
average payoff: 2.26029

initial 59
average payoff: 2.24675

initial 58
average payoff: 2.24255

initial 57
average payoff: 2.23334

initial 56
average payoff: 2.23752

initial 55
average payoff: 2.23848

initial 54
average payoff: 2.23449

initial 53
average payoff: 2.23176

initial 52
average payoff: 2.23761

initial 51
average payoff: 2.24630

initial 50
average payoff: 2.23341

