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Shows how foundational mathematical ideas can be employed in the understanding of a variety of psychological phenomena.
List of contents
1. Stochastic methods for modeling decision making Adele Diederich and Keivan Mallahi-kara; 2. The diffusion model of speeded choice, from a rational perspective Matt Jones; 3. Stochastic foundations of elementary mental architectures Joseph W. Haupt, James T. Townsend and Brett Jefferson; 4. Identifiability of probabilistic models, with examples from knowledge structure theory Jean-Paul Doignon, Jurgen Heller and Luca Stefanutti; 5. Quantum models of cognition and decision Jerome R. Busemeyer and Peter D. Kvam; 6. Computational cognitive neuroscience F. Gregory Ashby; 7. Discovering aggregation properties via voting Donald G. Saari; 8. Categorization based on similarity and features: the Reproducing Kernel Banach Space (RKBS) approach Jun Zhang and Haizhang Zhang; 9. The axiom of meaningfulness in science and geometry Jean-Claude Falmagne, Louis Narens and Christopher Doble.
About the author
William H. Batchelder is Professor of Cognitive Sciences at the University of California, Irvine.Hans Colonius is Professor of Psychology at Carl V. Ossietzky Universität Oldenburg, Germany.Ehtibar N. Dzhafarov is Professor of Psychological Sciences at Purdue University, Indiana.
Summary
The field of mathematical psychology includes both psychological theorizing, in which mathematics plays a key role, and applied mathematics, motivated by substantive problems in psychology. The New Handbook of Mathematical Psychology explores the mathematical and computational foundations of new developments over the last half-century.
