A group of individuals repeatedly plays a fixed extensive-form game, using past play to forecast future actions. Each (asymptotically) maximizes his own immediate expected payoff, believing that others' play corresponds to the historical frequencies of past play. Because players observe only the...

We examine the connection between discrete‐time models of financial markets and the celebrated Black–Scholes–Merton (BSM) continuous‐time model in which “markets are complete.” Suppose that (a) the probability law of a sequence of discrete‐time models converges to the law of the...