The Matching Law
Perhaps Herrnstein's most notable accomplishment in this field was the formulation of the matching law. According to the matching law, choices are distributed according to rates of reinforcement for making those choices. An instance of this for two choices can be stated mathematically as
where R1 and R2 are rates of response for two alternative responses, and r1 and r2 are rates of reinforcement for the same two responses. Behavior conforming to this law is 'matching,' and explanations of matching and departures from matching constitute a large and important part of the literature on behavioral choice.
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