Various Approaches to Decision Making

Abstract

Foreword; Preface; Contents; About the Author; 1 Introduction; Abstract; 1.1 Various Aspects of Decision Making; 1.2 Emotion, Logic and Decision Making; References; 2 Various Approaches to Decision Making; Abstract; 2.1 Decision Making (On the Basis of Human Decisions); 2.1.1 Canonical Approach and Normative Models; 2.1.2 The Axiomatic Approach; 2.1.3 Bayesian Probabilistic Approach; 2.1.4 Bayesian Statistics; 2.1.5 Bayes' Rule; 2.2 Decision Making and Statistical Inference; 2.2.1 Bayesian Probability and Cognitive Domain; 2.3 Dempster-Shafer Theory 2.3.1 Cognition and Emotion in Human Decision MakingReferences; 3 Predictability of Brain and Decision Making; Abstract; 3.1 Prediction and Movement; 3.2 How Does the Brain Predict?; 3.2.1 Motor Binding in Time and the Centralization on Prediction; 3.2.1.1 Pulsatile Motor Control System; 3.3 How Can a Neuronal Circuit Predict?; 3.4 Dynamic Geometry and Bayesian Approach to Decision Theory; References; 4 New Empirical Evidences on Decision Making and Cognition; Abstract; 4.1 Disjunction Effect; 4.2 Categorization-Decision Interaction; 4.3 Perception of Ambiguous Figures 4.4 Conjunction and Disjunction Fallacies4.5 Over Extension of Category Membership; 4.6 Over-Distribution Effect in Memory Recognition; 4.7 Failures of Commutativity in Decision Making; 4.7.1 Non-commutativity and the Uncertainty Principle Underlying the Functional Architecture of the V1 Cortical Area; 4.7.2 Architecture of VI Area; 4.8 Uncertainty Relation and Ambiguity in Perception; 4.9 Uncertainty Relations for Unsharp Observables; 4.10 Wave-Particle Dualism and Double Slit Experiment; References; 5 Fundamental Concepts of Mathematics and Quantum Formalism; Abstract; 5.1 Postulates 5.2 Mathematical Preliminaries5.2.1 Vector Space; 5.2.2 Subspaces; 5.2.3 Norms; 5.2.4 Scalar Product; 5.3 Hilbert Space; 5.3.1 Hermitian Operator; 5.3.2 Unitary Operator; 5.4 Commutative Properties; 5.4.1 Projection Operator; 5.5 Projection Postulate (PP); 5.5.1 Statement of Projection Postulate (PP); 5.6 Unsharp Observable and Operational Quantum Theory; 5.7 Stern-Gerlach Experiment; 5.8 POVM for Spin-Half Particles; References; 6 The Complementary Principle, Concept of Filter and Cognition Process; Abstract; 6.1 Spatiotemporal Representation of Image 6.2 The Response-Percept Domain and Observation Process6.3 The Complementarity Principle, Percepts and Concept; References; 7 Quantum Probability Theory and Non-Boolean Logic; Abstract; 7.1 Logic and Cognition; 7.2 Logic and Decision Making; 7.3 Boolean Algebra; 7.4 Quantum Logic and Non-Boolean Algebra; 7.4.1 Propositional Logic; 7.4.2 Lattices; References; 8 Quantum Ontology and Context Dependence; Abstract; 8.1 Newton and Metaphysics; 8.2 Quantum Ontology; References; 9 Modern Neuroscience and Quantum Logic; Abstract; References