LEARNING THROUGH REINFORCEMENT AND REPLICATOR DYNAMICS

This paper considers a version of R. R. Bush and F. Mosteller's (1951, Psych. Rev. 58. 313-323; 1955, ''Stochastic Models for Learning,'' Wi ley, New York) stochastic learning theory in the context of games. We show that in a continuous time limit the learning model converges to t he replicator dynamics of evolutionary game theory. Thus we provide a non-biological interpretation of evolutionary game theory. (C) 1997 Ac ademic Press.