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In search of the feedback function for variable-interval schedules.

W M Baum

    Journal of the Experimental Analysis of Behavior
    |May 1, 1992
    PubMed
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    Researchers are seeking a correct feedback function for variable-interval schedules, which model real-world reinforcement dependencies. A new function fits data but lacks theory, while existing ones fail theoretical tests, creating an empirical puzzle.

    Area of Science:

    • Behavioral psychology
    • Operant conditioning

    Background:

    • Variable-interval schedules are crucial for modeling reinforcement dependent on external factors.
    • Existing feedback functions for these schedules fail to meet all theoretical and empirical criteria.
    • A key theoretical requirement is that the function's slope must approach or equal 1.0 at the origin.

    Purpose of the Study:

    • To evaluate proposed feedback functions for variable-interval schedules.
    • To address the unsolved problem of finding a theoretically sound and empirically valid feedback function.
    • To investigate the empirical puzzle of high response rates at low reinforcement rates.

    Main Methods:

    • Evaluation of three feedback functions against empirical data sets.
    • Comparison of a new, theoretically unjustified function with functions proposed by Prelec and Herrnstein (1978) and Nevin and Baum (1980).

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    Main Results:

    • All three evaluated functions demonstrated good data-fitting capabilities.
    • Theoretically incorrect functions (Prelec and Herrnstein, Nevin and Baum) fit the data well.
    • An empirical puzzle emerged: low reinforcement rates correlated with unexpectedly high response rates.

    Conclusions:

    • The search for a theoretically sound and empirically correct feedback function for variable-interval schedules continues.
    • The success of theoretically flawed models highlights a gap in understanding operant behavior at low reinforcement rates.
    • Further research is needed to derive a function from fundamental principles of operant behavior.