New Handbook of Mathematical Psychology: Volume 1, Foundations and Methodology

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.

• 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.

'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