Derivatives of matching

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Abstract

Demonstrates that the matching law for reinforced behavior is a solution to a differential equation relating infinitesimal changes in behavior to infinitesimal changes in reinforcement. The differential equation expresses plausible and familiar conceptions of behavior and reinforcement; it yields a simple nonlinear operator model for acquisition, and it suggests a psychologically preferable alternative to the economic law of diminishing marginal utility. (62 ref) (PsycINFO Database Record (c) 2006 APA, all rights reserved)

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