The Value of a Random Game: The Advantage of Rationality

@article{Faris1987TheVO,
  title={The Value of a Random Game: The Advantage of Rationality},
  author={William G. Faris and Robert S. Maier},
  journal={Complex Systems},
  year={1987},
  volume={1}
}
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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Showing 1-3 of 3 references

The probability of a saddlepoint

  • A. J . Goldman
  • American Mathematical Monthly,
  • 1957

Sur la distribution limite du terme maximum d'une eerie aleatoire

  • B. V. Gnedenko
  • Annals of Ma thematics, 44
  • 1943
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