Suchergebnisse

1: Binary Relations: Definitions, Representations, Basic Properties -- 1.1. Binary relations -- 1.2. Graph representation of binary relations -- 1.3. Coding the binary relations -- 1.4. Matrix representation of binary relations -- 1.5. Basic properties of binary relations -- 1.6. Particular binary relations -- 1.7. Graph interpretation of the properties -- 1.8. Algebraic interpretation of the properties -- 1.9. References -- 2: The Concept of Preference Structure -- 2.1. Preference, indifference, incomparability -- 2.2. Preference structure -- 2.3. Important agreement -- 2.4. Characteristic relation of a preference structure -- 2.5. Graph representation of a preference structure -- 2.6. Coding the preference structure -- 2.7. Example -- 2.8. References -- 3: Usual Preference Structures -- 3.1. Tournament structure -- 3.2. Total order structure -- 3.3. Weak order structure -- 3.4. Total interval order structure -- 3.5. Total semiorder structure -- 3.6. Partial order structure -- 3.7. Quasi order structure -- 3.8. References -- 4: Two New Preference Structures -- 4.1. Partial interval order structure -- 4.2. Partial semiorder structure -- 4.3. References -- 5: Complete Valued Preference Structures -- 5.1. Definition -- 5.2. Important remark -- 5.3. Particular case -- 5.4. Graph representation -- 5.5. Matridal representation -- 5.6. Particular complete valued preference structures -- 5.7. Binary relations and various properties related to a complete valued preference structure -- 5.8. Characterizations of the families defined in section 5.6.. -- 5.9. Functional representation of a valued preference structure -- 5.10. Roberts homogeneous families of semiorders -- 5.11. Families of weak orders -- 5.12. Summary -- 5.13. Examples -- 5.14. References -- 6: Complete Two-Valued Preference Structures -- 6.1. Introduction -- 6.2. Two-valued preference structures with constant thresholds -- 6.3. Example -- 6.4. References.

Pioneered by American economist Paul Samuelson, revealed preference theory is based on the idea that the preferences of consumers are revealed in their purchasing behavior. Researchers in this field have developed complex and sophisticated mathematical models to capture the preferences that are 'revealed' through consumer choice behavior. This study of consumer demand and behavior is closely tied up with econometrics (especially nonparametric econometrics), where testing the validity of different theoretical models is an important aspect of research. The theory of revealed preference has a very long and distinguished tradition in economics, but there was no systematic presentation of the theory until now. This book deals with basic questions in economic theory, such as the relation between theory and data, and studies the situations in which empirical observations are consistent or inconsistent with some of the best known theories in economics