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.
Shows how foundational mathematical ideas can be employed in the understanding of a variety of psychological phenomena.
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.
'This volume, the first of several, is a welcome effort to
systematize the mathematical ideas and foundational issues that
characterize modern developments in mathematical psychology. A
highly readable resource for anyone interested in theory as it
relates to the psychological and cognitive sciences.' Richard C.
Atkinson, President Emeritus of the University of California and
Professor Emeritus of Psychological and Cognitive Sciences at the
University of California, San Diego
'Containing substantial chapters detailing applications of
mathematics to a wide range of topics in behavior and cognition,
written by leading scholars in the field, and updated to reflect
current trends and new developments, the New Handbook is destined
to become an essential resource for students and experienced
researchers alike.' Philip L. Smith, Editor-in-Chief, Journal of
Mathematical Psychology
'These two volumes are a valuable contribution to mathematical
psychology; partly representing important summaries of special
branches, partly pushing the forefront of research towards new
horizons. They should be read by all working in special fields, but
also by students who are striving for a general point of view. We
are looking forward to the third volume.' Reinhard Suck, Journal of
Mathematical Psychology
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