We exhibit a quite natural, adaptive process generated by price-taking
, noncooperative firms, supplying the same market. Under rather mild c
onditions, that process, being driven by marginal profits, converges t
o a market clearing, Cournot-Nash equilibrium. Namely, it suffices for
convergence that cost functions be strictly convex and that the law o
f demand holds. Randomness in revenues and costs is accommodated.