initial 100
average payoff: 3.00000

initial 99
average payoff: 3.00000

initial 98
average payoff: 3.00094

initial 97
average payoff: 3.00126

initial 96
average payoff: 3.00196

initial 95
average payoff: 3.00354

initial 94
average payoff: 3.00472

initial 93
average payoff: 3.00644

initial 92
average payoff: 3.00982

initial 91
average payoff: 3.01028

initial 90
average payoff: 3.01462

initial 89
average payoff: 3.01648

initial 88
average payoff: 3.02052

initial 87
average payoff: 3.02446

initial 86
average payoff: 3.02734

initial 85
average payoff: 3.03454

initial 84
average payoff: 3.03586

initial 83
average payoff: 3.04116

initial 82
average payoff: 3.04270

initial 81
average payoff: 3.05142

initial 80
average payoff: 3.05660

initial 79
average payoff: 3.06508

initial 78
average payoff: 3.07000

initial 77
average payoff: 3.07450

initial 76
average payoff: 3.08342

initial 75
average payoff: 3.08338

initial 74
average payoff: 3.09142

initial 73
average payoff: 3.10360

initial 72
average payoff: 3.11214

initial 71
average payoff: 3.11584

initial 70
average payoff: 3.12506

initial 69
average payoff: 3.13566

initial 68
average payoff: 3.14438

initial 67
average payoff: 3.16160

initial 66
average payoff: 3.16122

initial 65
average payoff: 3.17116

initial 64
average payoff: 3.18006

initial 63
average payoff: 3.19442

initial 62
average payoff: 3.20512

initial 61
average payoff: 3.21018

initial 60
average payoff: 3.22762

initial 59
average payoff: 3.23214

initial 58
average payoff: 3.25002

initial 57
average payoff: 3.25910

initial 56
average payoff: 3.26750

initial 55
average payoff: 3.27316

initial 54
average payoff: 3.29426

initial 53
average payoff: 3.30936

initial 52
average payoff: 3.32594

initial 51
average payoff: 3.33732

initial 50
average payoff: 3.34230

