Frontiers of Mathematical Psychology: Essays in Honor of Clyde Coombs PDF
Preview Frontiers of Mathematical Psychology: Essays in Honor of Clyde Coombs
Recent Research in Psychology Clyde Coombs (1912-1988) Donald R. Brown J.E. Keith Smith Editors Frontiers of Mathematical Psychology Essays in Honor of Clyde Coombs With 36 Illustrations Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Hong Kong Barcelona Donald R. Brown J.E. Keith Smith Center for Research on Learning Department of Psychology and Teaching University of Michigan University of Michigan Ann Arbor, Michigan 48109 Ann Arbor, Michigan 48109 USA USA Library of Congress Cataloging-in-Publication Data Frontiers of mathematical psychology: essays in honor of Clyde Coombs / Donald R. Brown, J.E. Keith Smith, editors. p. cm. - (Recent research in psychology) Includes bibliographical references. ISBN-13:978-0-387-97451-4 e-ISBN-13:978-1-4612-3088-5 001:10.1007/978-1-4612-3088-5 1. Psychology - Mathematical models. 2. Psychometrics. I. Coombs, Clyde Hamilton, 1912- II. Brown, Donald R., 1925- . III. Smith, J. E. Keith. IV. Series. BF39.F76 1991 150'.1'51-dc20 90-48269 CIP Printed on acid-free paper. © 1991 Springer-Verlag New York Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereaf ter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Camera-ready copy provided by the editors. 9 8 7 6 5 4 3 2 1 ISBN-13:978-0-387-9745 1-4 Preface The papers in this volume were prepared after a preliminary symposium held at The University of Michigan in honor of Clyde Coombs. Following the symposium, each paper was extensively revised and in many instances completely rewritten to provide a timely and provocative survey of current works in mathematical psychology in the style of Clyde Coombs. All of the authors were students or colleagues who were closely influenced by Coombs and our intention was not to cover all approaches to the field, but rather to illustrate the continuing influence of Coombs's work and approach to the application of mathematics to basic psychological phenomena. If we are successful, it is because of his influence on the contributors. v Acknowledgements The preparation of this volume in memory of Clyde Coombs owes much to the many friends, students, and colleagues of Clyde Coombs who generously provided their support and encouragement. Funding was provided by Dean John D'Arms of the Horace H. Rackham School of Graduate Studies at The University of Michigan. Thanks are also due to Professor Albert Cain, Chair of the Psychology Department, for financial aid and moral support and to the Center for Research on Learning and Teaching for numerous kinds of help. Dr. Susan Nelson and Ms. Nancy Bates of the Psychology Department provided constant administrative backup along with Ms. Susan Bareis of the Center for Research on Learning and Teaching. The editorial staff of Springer-Verlag was always understanding with our numerous problems and we thank them. Lolagene Coombs, June Brown and Greta Smith all pitched in whenever needed. A very special thanks is given to Ms. Maria Huntley who prepared and reprepared the whole manuscript with patience, perseverance, dedication, skill, and good humor. Her efforts kept this project going on schedule and with uniformly high quality. Donald R. Brown J. E. Keith Smith vii Contents Preface ................................................................... v Acknowledgements .................................................. vii Contributors ............................................................ xi Introduction .......................................................... xiii 1 From Indices to Mappings: The Representational .Approac1l to Measurement ............................................. 1 David H. Krantz 2 Social Dilemmas, Economic Self-Interest, and Evolutionary Theory ............................................ 53 Robyn M. Dawes 3 Probabilistic Dimensionality: A Study of Confidence and Intention. ............................... 80 Gordon G. Bechtel 4 Judgments of Relative Importance in Decision Making: The Importance of Interpretation and the Interpretation oflmportance .................................... 110 William M. Goldstein and Jane Beattie 5 Validating the Dimensional Structure of Psychological Spaces: Applications to Personality and Emotions .............. 138 Richard J. Gerrig, Laurence T. Maloney, and Amos Tversky ix 6 The Disparity Between Willingness-to-Pay Versus Willingness-to-Accept as a Framing Effect ...................... 166 Gary H. McClelland and William D. Schulze 7 Rapid Aimed Movements and the Speed-Accuracy Trade Off: Optimal Strategies ..................................... 193 J. E. Keith Smith x Contributors Jane Beattie William M. Goldstein Center for Decision Research Department of Psychology Graduate School of Business University of Chicago University of Chicago 5848 South University Avenue 11 01 East 58th Street Chicago, Illinois 60637 Chicago, Illinois 60637 David H. Krantz Gordon G. Bechtel Department of Psychology College of Business Columbia University Administration 116th and Broadway Marketing Department New York, New York 10027 University of Florida Gainesville, FL 32611 Laurence T. Maloney Department of Psychology Robyn M. Dawes 6 Washington Place Department of Social and 8th Floor Decision Science New York University Carnegie Mellon University New York, New York 10003 Pittsburgh, Pennsylvania 15213 Gary H. McClelland Richard J. Gerrig Department of Psychology Department of Psychology University of Colorado Yale University Boulder, Colorado 80309 P. O. Box llA Yale Station New Haven, Connecticut 06520 William D. Schulze Department of Economics University of Colorado Boulder, Colorado 80309 Xl J. E. Keith Smith Amos Tversky Department of Psychology Department of Psychology 106B Perry Building Stanford University University of Michigan Stanford, California 94305 Ann Arbor, Michigan 48109 xii
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