Rationality and Operators The Formal Structure of Preferences /
This unique book develops an operational approach to preference and rationality as the author employs operators over binary relations to capture the concept of rationality. A preference is a basis of individual behavior and social judgment and is mathematically regarded as a binary relation on the s...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2016.
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Edición: | 1st ed. 2016. |
Colección: | Development Bank of Japan Research Series,
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Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 1 Introduction
- 1.1 The Aim of This Book
- 1.2 Rationality of Preference
- 1.3 An Operational Interpretation of Theorems of Welfare Economics
- 1.4 What Can the Operational Approach Achieve?
- 1.5 A Historical Perspective
- 1.6 The Structure of This Book
- 2 Preferences and Operators
- 2.1 Introduction
- 2.2 Binary Relations
- 2.3 Basic Results on Operators
- 2.4 Closure Operators
- 2.5 Concluding Remarks
- 3 Rationality and Operators
- 3.1 Introduction
- 3.2 Properties of Binary Relations
- 3.3 Choice Functions
- 3.4 Extensions
- 3.5 Concluding Remarks
- 4 Operations over the Set of Binary Relations
- 4.1 Introduction
- 4.2 Basic Results
- 4.3 Direct Operations over the Set of Binary Relations
- 4.4 Indirect Operations over the Set of Binary Relations
- 4.5 Concluding Remarks
- 5 Application to Welfare Economics
- 5.1 Introduction
- 5.2 Setting
- 5.3 Paretian Welfare Economics
- 5.4 The Kaldor-Hicks Compensation Principle
- 5.5 Bergsonian-Samuelson Approach of Welfare Economics
- 5.6 Concluding Remarks
- 6 Conclusion: Beyond Ordinal Operators
- 6.1 More Applications
- 6.2 Operators for Ordinal Preferences
- 6.3 Operators for Cardinal Preferences
- 6.4 Final Remarks
- Index.