Symmetry and Economic Invariance: An Introduction

1. Front Matter

   Pages i-viii

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2. Introduction

   • Ryuzo Sato, Rama V. Ramachandran

   Pages 1-13

3. Technical Progress and Economies of Scale: Concept of Holotheticity

   • Ryuzo Sato, Rama V. Ramachandran

   Pages 15-34

4. Holothetic Production Functions and Marginal Rate of Technical Substitution

   • Ryuzo Sato, Rama V. Ramachandran

   Pages 35-49

5. Utility and Demand

   • Ryuzo Sato, Rama V. Ramachandran

   Pages 51-63

6. Duality and Self Duality

   • Ryuzo Sato, Rama V. Ramachandran

   Pages 65-86

7. The Theory of Index Numbers

   • Ryuzo Sato, Rama V. Ramachandran

   Pages 87-100

8. Dynamics and Conservation Laws

   • Ryuzo Sato, Rama V. Ramachandran

   Pages 101-124

9. Bibliography

   • Ryuzo Sato, Rama V. Ramachandran

   Pages 125-130

10. Back Matter

    Pages 131-134

    PDF

Symmetry and Economic Invariance: An Introduction explores how symmetry and invariance of economic models can provide insights into their properties. While the professional economist is nowadays adept at many of the mathematical techniques used in static and dynamic optimization models, group theory is still not among his or her repertoire of tools. The authors aim to show that group theoretic methods form a natural extension of the techniques commonly used in economics and that they can be easily mastered.

• Group theory
• duality
• dynamic optimization
• economics
• invariance
• optimization
• optimization model
• production

• New York University, USA

  Ryuzo Sato, Rama V. Ramachandran

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