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内容提要:
This influential treatise presents upper-level undergraduates and graduate students with a mathematical analysis of choice behavior. It begins with the statement of a general axiom upon which the rest of the book rests; the following three chapters, which may be read independently of each other, are devoted to applications of the theory to substantive problems: psychophysics, utility, and learning.
Applications to psychophysics include considerations of time- and space-order effects, the Fechnerian assumption, the power law and its relation to discrimination data, interaction of continua, discriminal processes, signal detectability theory, and ranking of stimuli. The next major theme, utility theory, features unusual results that suggest an experiment to test the theory. The final chapters explore learning-related topics, analyzing the stochastic theories of learning as the basic approach--with the exception that distributions of response strengths are assumed to be transformed rather than response probabilities. The author arrives at three classes of learning operators, both linear and nonlinear, and the text concludes with a useful series of appendixes. 目录:
1 THE BASIC THEORY
A.INTRODUCTION 1 Probabilistic vs.Algebraic Theories 2 Multiple Alternative Choices 3 Well-Defined Sets of Alternatives B.PROBABILITY AXIOMS C.CHOICE AXIOM 1 Statement of Axiom 2 Discussion 3 Previous Work 4 Direct Empirical Testing of Axiom 1 D.TWO CONSEQUENCES 1 Statement 2 Discussion 3 Coombs' Data E.RATIO SCALE 1 Background 2 Existence Theorem x.Contents 3 Extension of v-Scale 4 Previous Work F.INDEPENDENCE-OF-UNIT CONDITION 1 Statement of Condition 2 Behavioral Continuity 3 Response Bias 4 Estimation of Parameters G.ALGEBRAIC APPROXIMATIONS 1 Just Noticeable Differences 2 The Trace 2 APPLICATIONS TO PSYCHOPHYSICS A.FECHNER'S PROBLEM 1 The Fechnerian Assumption 2 Derivation of Fechner's Assumption 3 Uniqueness of the Logistic Curve B.THE POWER LAW 1 Derivation of the Law 2 Estimation of Exponent 3 An Alternative Approach 4 Two Other Scales C.INTERACTION OF CONTINUA 1 Introduction 2 Form of v 3 Generalizations 4 A Numerical Example 5 The Power Law Exponent D.DISCRIMINAL PROCESSES 1 Introduction 2 Relation of Axiom 1 to Thurstone's Case V 3 A Generalization to Three or More Alternatives E.SIGNAL DETECTABILITY THEORY 1 Introduction 2 Yes-No Experiments 3 Forced-Choice Experiments 4 Expected-Value Model 5 Recognition Experiments and Maximum Amounts of Information Transmitted …… 3 APPLICATIONS TO UTILITY THEORY 4 APPLICATIONS TO LEARNING 5 SUMMARY AND CONCLUSIONS APPENDIX BIBLIOGRAPHY INDEX |