TY - BOOK AU - Sato,Ryuzo AU - Ramachandran,Rama V. TI - Symmetry and economic invariance T2 - Advances in Japanese business and economics SN - 9784431544296 (hard cover : alk. paper) U1 - 330.0151 23 PY - 2014/// CY - New York : PB - Springer KW - Mathematical Economics KW - Group theory. KW - Lie groups. N1 - Includes bibliographical references and index; 1. Introduction-- 2. Technical progress and economies of scale: concept of holotheticity-- 3. Holothetic production functions and marginal rate of technical substitution-- 4. Utility and demand-- 5. Duality and self duality-- 6. The theory of index numbers-- 7. Dynamics and conservation laws-- 8. The invariance principle and income-wealth conservation laws-- 9. Conservation laws in continuous and discrete models-- 10. Quantity or quality: the impact of labour saving innovation on US and Japanese growth rates, 1960-2004-- 11. A survey on recent developments-- 12. Appendix to part II symmetry: an overview of geometric methods in economics-- References-- Index N2 - 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. ER -