Pigeons' pecks produced grain under progressive ratio (PR) schedules, whose response requirements increased systematically within sessions. Experiment 1 compared arithmetic (AP) and geometric (GP) progressions. Response rates increased as a function of the component ratio requirement, then decreased linearly (AP) or asymptotically (GP). Experiment 2 found the linear decrease in AP rates to be relatively independent of step size. Experiment 3 showed pausing to be controlled by the prior component length, which predicted the differences between PR and regressive ratio schedules found in Experiment 4. When the longest component ratios were signaled by different key colors, rates at moderate ratios increased, demonstrating control by forthcoming context. Models for response rate and pause duration described performance on AP schedules; GP schedules required an additional parameter representing the contextual reinforcement.
Keywordscontext; fixed ratio; mathematical model; post-reinforcement pause; progressive ratio; reinforcement schedules One of B. F. Skinner's bequests was his emphasis on the singular importance of the schedule of reinforcement, the contingencies that the experimenter or environment arranges for the presentation of events to an organism. The events could be biologically significant or insignificant, positive or negative. Nature, not Skinner, was the first to arrange reinforcement schedules, and many scientists-Pavlov and Thorndike the exemplars-used them to good effect before Skinner. But Skinner, along with his students (e.g., Ferster & Skinner, 1957) made them an end, not means, of inquiry. One of the most fundamental type of schedule arranges reinforcement contingent upon the completion of a fixed number of responses, the Fixed Ratio (FR) schedule. If the ratio is not fixed, but varies widely from one reinforcer to the next, the schedule is called Variable Ratio (VR). Ratio schedules engender high rates of responding, more or less uniform under VR, consisting of a post-reinforcement pause or break followed by a run of high rate responding under FR.It is possible to schedule ratio reinforcement intermediate between these extremes of variability. Under Progressive Ratio (PR) schedules the requirements for reinforcement are increased systematically, usually after each reinforcer. Since their introduction by Hodos (1961), PR schedules have been used increasingly to assess reinforcement strength, an assay of special importance to behavioral pharmacologists (e.g., Ping-Teng, Lee, Konz, Richardson, Correspond with: Peter Killeen, Department of Psychology, Box 871104, Arizona State University, Tempe, AZ 85287-1104, Killeen@asu.edu, FAX: (480) Voice: (480) 967-0560. Publisher's Disclaimer: The following manuscript is the final accepted manuscript. It has not been subjected to the final copyediting, fact-checking, and proofreading required for formal publication. It is not the definitive, publisher-authenticated version. The American Psychological Association and its Council of Editors discl...