1. Introduction. - 1. 1. The Needs and Basic Elements. - 1. 2. An Overview of the Book. - 1. 3. Notation. - 2. Binary Relations. - 2. 1. Preference as a Binary Relation. - 2. 2. Characteristics of Preferences. - 2. 3. Optimality Condition. - 2. 4. Further Comments. - Exercises. - 3. Pareto Optimal or Efficient Solutions. - 3. 1. Introduction. - 3. 2. General Properties of Pareto Optimal Solutions. - 3. 3. Conditions for Pareto Optimality in the Outcome Space. - 3. 4. Conditions for Pareto Optimality in the Decision Space. - 3. 5. Further Comments. - 3. 6. Appendix: Generalized Gordon Theorem. - 3. 7. Appendix: Optimality Conditions. - Exercises. - 4. Goal Setting and Compromise Solutions. - 4. 1. Introduction. - 4. 2. Satisficing Solutions. - 4. 3. Compromise Solutions. - 4. 4. Further Comments. - Exercises. - 5. Value Function. - 5. 1. Revealed Preference from a Value Function. - 5. 2. Conditions for Value Functions to Exist. - 5. 3. Additive and Monotonic Value Functions and Preference Separability. - 5. 4. Further Comments. - Exercises. - 6. Some Basic Techniques for Constructing Value Functions. - 6. 1. Constructing General Value Functions. - 6. 2. Constructing Additive Value Functions. - 6. 3. Approximation Method. - 6. 4. Further Comments. - 6. 5. Appendix: Perron-Frobenius Theorem. - Exercises. - 7. Domination Structures and Nondominated Solutions. - 7. 1. Introduction. - 7. 2. Domination Structures. - 7. 3. Constant Dominated Cone Structures. - 7. 4. Local and Global N-Points in Domination Structures. - 7. 5. Interactive Approximations for N-Points with Information from Domination Structures. - 7. 6. Further Comments. - 7. 7. Appendix: A Constructive Proof of Theorem 7. 3. - Exercises. - 8. Linear Cases MC- and MC2-Simplex Methods. - 8. 1. N-Points in the Linear Case. - 8. 2. MC-Simplex Method and Nex-Points. - 8. 3. Generating the Set N from Nex-Points. - 8. 4. MC2-Simplex Method and Potential Solutions in Linear Systems. - 8. 5. Further Comments. - 8. 6. Appendix: Proof of Lemma 8. 2. - Exercises. - 9. Behavioral Bases and Habitual Domains of Decision Making. - 9. 1. Introduction. - 9. 2. Behavioral Bases for Decision Making. - 9. 3. Habitual Domains. - 9. 4. Some Observations in Social Psychology. - 9. 5. Some Applications. - 9. 6. Further Comments. - 9. 7. Appendix: Existence of Stable Habitual Domains. - Exercises. - 10. Further Topics. - 10. 1. Interactive Methods for Maximizing Preference Value Functions. - 10. 2. Preference over Uncertain Outcomes. - 10. 3. Multicriteria Dynamic Optimization Problems. - 10. 4. Second-Order Games. - Exercises. Language: English