Formal properties of the matching law

J Exp Anal Behav. 1974 Jan;21(1):159-64. doi: 10.1901/jeab.1974.21-159.

Abstract

The matching law implies that any form of behavior approaches an asymptotic frequency as its reinforcement approaches 100 per cent of the total reinforcement being obtained at a given time. This asymptote is formally independent of the kind or quantity of drive or reinforcement associated with the response in question or with any competing response.