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Modeling patterns of probability calibration with random support theory: Diagnosing case-based judgment
Affiliation:1. Laboratory of Experimental Psychology, University of Leuven (KU Leuven), Tiensestraat 102 Box 3711, B-3000 Leuven, Belgium;2. Psychologische Functieleer, Utrecht University, Martinus J. Langeveldgebouw, Heidelberglaan 1, 3584 CS Utrecht, The Netherlands;1. Business Systems and Analytics Department, Distinguished Chair of Business Analytics, La Salle University, Philadelphia, PA 19141, USA;2. Business Information Systems Department, Faculty of Business Administration and Economics, University of Paderborn, D-33098 Paderborn, Germany;3. Faculty of Economics and Management, Free University of Bolzano, Bolzano, Italy;4. Department of Mathematics and Statistics, York University, Toronto, M3J 1P3, Canada;5. Polo Tecnologico IISS G. Galilei, Via Cadorna 14, 39100, Bolzano, Italy
Abstract:We describe four broad characterizations of subjective probability calibration (overconfidence, conservatism, ecologically perfect calibration, and case-based judgment) and show how Random Support Theory (RST) can serve as a tool for representing, evaluating, and discriminating between these perspectives. We present five studies of probability judgment in a simulated stock market setting and analyse the calibration data in terms of RST parameters. The observed pattern of calibration varies with the outcome base rate and cue value diagnosticity, as predicted by case-based judgment. A similar pattern of calibration is found in real-world judgments of experts in various domains. Case-based RST—defined as RST with stable parameter values—provides a parsimonious account of the substantial changes in calibration performance observed across different judgment environments.
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