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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. Selected concepts from probability Hans Colonius; 2. Probability, random variables, and selectivity Ehtibar N. Dzhafarov and Janne V. Kujala; 3. Functional equations Che Tat Ng; 4. Knowledge spaces and learning spaces Jean-Paul Doignon and Jean-Claude Falmagne; 5. Network analysis John P. Boyd and William H. Batchelder; 6. Evolutionary game theory J. McKenzie Alexander; 7. Choice, preference, and utility: probabilistic and deterministic representations Anthony A. J. Marley and Michel Regenwetter; 8. Discrete state models of cognition William H. Batchelder; 9. Bayesian hierarchical models Jeffrey N. Rouder, Richard D. Morey and Michael S. Pratte; 10. Model evaluation and selection Jay Myung, Daniel R. Cavagnaro and Mark A. Pitt.
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.Jay Myung is Professor of Psychology at Ohio State University.
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.
