Profit maximization is the usual prerequisite for achievement of a per
fectly competitive equilibrium. However, for a long time it has been t
hought that this principle of profit maximization can be replaced by n
atural selection. In an evolutionary model of an industry, where firms
' outputs are chosen randomly, where entry occurs with no motivation,
and where exit occurs when a firm's wealth becomes negative, this pape
r shows that the industry converges in probability to a perfectly comp
etitive equilibrium as each firm gets infinitesimally small relative t
o the market, as the entry cost gets sufficiently small and as time ge
ts sufficiently large. (C) 1995 Academic Press, Inc.