The Value of a Random Game: The Advantage of Rationality

  title={The Value of a Random Game: The Advantage of Rationality},
  author={William G. Faris and Robert S. Maier},
  journal={Complex Systems},
Two players play against each oth er in a game with payoffs given by a random n by n matrix with mean zero. If one player adopts a un iform, purely random st rategy, th en his loss is limi ted by the law of averages to a quantity proport ional to VIogn/vn. On th e other hand, if he plays an opt imal strategy his losses will typically be considerably less. Numerical evidence is presented for th e following conjec ture: t he standard deviation of the value of the game is asympto tically… CONTINUE READING

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