Highly Influenced

# 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} }

- Published in Complex Systems 1987

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