000 02081nam a22002895i 4500
001 135669
003 ISI Library, Kolkata
005 20150413165546.0
008 130910s2013 nyu 000 0 eng
020 _a9784431544296 (hard cover : alk. paper)
040 _aISI Library
082 0 0 _223
_bSa253
_a330.0151
100 1 _aSato, Ryuzo.
245 1 0 _aSymmetry and economic invariance /
_cRyuzo Sato and Rama V. Ramachandran.
250 _a2nd enhanced ed
260 _aNew York :
_bSpringer,
_c2014.
300 _axi, 273 p. ;
_billustrations.
490 0 _aAdvances in Japanese business and economics ;
_v1
504 _aIncludes bibliographical references and index.
505 _a1. 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.
520 _aSymmetry 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.
650 0 _aMathematical Economics.
650 0 _aGroup theory.
650 0 _aLie groups.
700 1 _aRamachandran, Rama V.
942 _2ddc
_cBK
999 _c419001
_d419001