Herrnstein’s equation for the rates of responding during concurrent schedules

Abstract

A modification of the nonlinear curve-fitting procedure proposed by Wetherington and Lucas (1980) was used to assess how well Herrnstein’s (1970) equation for the rates of responding during concurrent schedules described performance. The equation fitted some results very well, accounting for 80% or more of the variance in the data in studies that used moderate-duration changeover delays and provided the same positive reinforcers, operanda, and simple schedules in the two components. The equation fitted the data poorly in other studies. The k parameter changed with several variables; it was not as constant as Herrnstein (1974) suggested. R0 did not fit Herrnstein’s interpretation as reinforcement from unprogrammed sources. Forty percent of all values of R0 were negative, and another 23% were unreasonably large (greater than 50 reinforcers/h). The data suggest that Herrnstein’s equation is not a general theory of concurrent-schedule responding, and that Herrnstein’s interpretation of k and R0 should be modified.