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Book Categories |
1 | The Basic Theory | 1 |
A | Introduction | 1 |
1 | Probabilistic vs. Algebraic Theories | 2 |
2 | Multiple Alternative Choices | 3 |
3 | Well-Defined Sets of Alternatives | 3 |
B | Probability Axioms | 4 |
C | Choice Axiom | 5 |
1 | Statement of Axiom | 5 |
2 | Discussion | 6 |
3 | Previous Work | 10 |
4 | Direct Empirical Testing of Axiom 1 | 12 |
D | Two Consequences | 16 |
1 | Statement | 16 |
2 | Discussion | 17 |
3 | Coombs' Data | 19 |
E | Ratio Scale | 20 |
1 | Background | 20 |
2 | Existence Theorem | 23 |
3 | Extension of [upsilon]-Scale | 24 |
4 | Previous Work | 27 |
F | Independence-of-Unit Condition | 28 |
1 | Statement of Condition | 28 |
2 | Behavioral Continuity | 29 |
3 | Response Bias | 30 |
4 | Estimation of Parameters | 32 |
G | Algebraic Approximations | 34 |
1 | Just Noticeable Differences | 34 |
2 | The Trace | 36 |
2 | Applications to Psychophysics | |
A | Fechner's Problem | 38 |
1 | The Fechnerian Assumption | 38 |
2 | Derivation of Fechner's Assumption | 39 |
3 | Uniqueness of the Logistic Curve | 41 |
B | The Power Law | 42 |
1 | Derivation of the Law | 42 |
2 | Estimation of Exponent | 44 |
3 | An Alternative Approach | 44 |
4 | Two Other Scales | 45 |
C | Interaction of Continua | 47 |
1 | Introduction | 47 |
2 | Form of [upsilon]([chi], [xi]) | 49 |
3 | Generalizations | 51 |
4 | A Numerical Example | 52 |
5 | The Power Law Exponent | 53 |
D | Discriminal Processes | 54 |
1 | Introduction | 54 |
2 | Relation of Axiom 1 to Thurstone's Case V | 55 |
3 | A Generalization to Three or More Alternatives | 56 |
E | Signal Detectability Theory | 58 |
1 | Introduction | 58 |
2 | Yes-No Experiments | 59 |
3 | Forced-Choice Experiments | 62 |
4 | Expected-Value Model | 63 |
5 | Recognition Experiments and Maximum Amounts of Information Transmitted | 64 |
F | Rank Orderings | 68 |
1 | Direction of Ranking | 69 |
2 | Inferring Pairwise Probabilities | 70 |
3 | Applications to Utility Theory | |
A | Introduction | 75 |
B | Decomposable Preference Structures | 78 |
1 | Definitions | 78 |
2 | The Principal Result | 79 |
3 | Discussion | 82 |
C | Additional Axioms | 83 |
1 | Existence of Three Event Classes | 83 |
2 | Restrictions on P(a, b) | 85 |
D | A Proposed Experiment | 86 |
1 | A Prediction | 86 |
2 | Experimental Implication | 87 |
3 | A Utility Decomposition | 88 |
4 | Applications to Learning | |
A | Introduction | 91 |
B | Response Strength Operators | 93 |
C | Alpha Model | 96 |
D | Beta Model | 99 |
1 | Axiomatic Derivation | 99 |
2 | Simple Beta Model | 101 |
3 | Testing the Two-Alternative Beta Model | 102 |
E | Gamma Model | 105 |
F | Application of the Three Models to a Special Case | 106 |
1 | Introduction | 106 |
2 | Partial Reinforcement | 107 |
3 | Alpha Model | 108 |
4 | Beta Model | 109 |
5 | Gamma Model | 110 |
6 | Conclusions | 110 |
G | Some Asymptotic Properties of the Beta Model | 111 |
1 | Introduction | 111 |
2 | Relations Among Asymptotic Expectations | 114 |
3 | Existence and Values of [characters not reproducible] E([upsilon subscript n]) and [characters not reproducible] E(1/[upsilon subscript n]) | 117 |
4 | A Special Case | 120 |
5 | Summary and conclusions | |
A | Summary | 126 |
B | Conclusions | 131 |
Appendix 1 | Alternative Forms of Axiom 1 | 135 |
Appendix 2 | Form of Latency Distribution | 137 |
Appendix 3 | Maximum Likelihood Equations for the Two-alternative, Two-outcome Beta Learning Model | 139 |
Appendix 4 | Open Problems | 142 |
A | Conceptual and Empirical | 142 |
B | Mathematical | 144 |
Bibliography | 147 | |
Index | 151 |
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Add Individual Choice Behavior: A Theoretical Analysis, This influential treatise presents a mathematical analysis of choice behavior. It begins with the statement of a general axiom, then explores applications of the theory to substantive problems: psychophysics, utility, and learning. Includes considerations, Individual Choice Behavior: A Theoretical Analysis to the inventory that you are selling on WonderClubX
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Add Individual Choice Behavior: A Theoretical Analysis, This influential treatise presents a mathematical analysis of choice behavior. It begins with the statement of a general axiom, then explores applications of the theory to substantive problems: psychophysics, utility, and learning. Includes considerations, Individual Choice Behavior: A Theoretical Analysis to your collection on WonderClub |