{"product_id":"symmetry-and-economic-invariance-ryuzo-sato-9784431560838","title":"Symmetry and Economic Invariance","description":"\u003cp\u003e\u003cb\u003ePart I Introduction\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e1 Introduction\u003c\/p\u003e\u003cp\u003e1.1 GROUP THEORY AND CLASSIFICATION OF MATHEMATICAL STRUCTURE\u003c\/p\u003e\u003cp\u003e1.2 LIE GROUPS AND INVARIANCE\u003c\/p\u003e\u003cp\u003e1.3 ECONOMIC APPLICATIONS OF LIE GROUPS\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e2 Technical Progress and Economies of Scale: Concept of Holotheticity\u003c\/p\u003e\u003cp\u003e2.1 A REFORMULATION OF THE PROBLEM\u003c\/p\u003e\u003cp\u003e2.2 LIE GROUPS\u003c\/p\u003e\u003cp\u003e2.3 HOLOTHETICITY\u003c\/p\u003e\u003cp\u003e2.4 CONCLUSION\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e3 Holothetic Production Functions and Marginal Rate of Technical Substitution\u003c\/p\u003e\u003cp\u003e3.1 TYPES OF TECHNICAL PROGRESS FUNCTIONS AND HOLOTHETICITY\u003c\/p\u003e\u003cp\u003e3.2 MARGINAL RATE OF TRANSFORMATION AND EXTENDED TRANSFORMATION\u003c\/p\u003e\u003cp\u003e3.3 HOLOTHETICITY AND LIE BRACKET\u003c\/p\u003e\u003cp\u003e3.4 CONCLUSION\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e4 Utility and Demand\u003c\/p\u003e\u003cp\u003e4.1 INTEGRABILITY CONDITIONS\u003c\/p\u003e\u003cp\u003e4.2 CONCLUSION\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e5 Duality and Self Duality\u003c\/p\u003e\u003cp\u003e5.1 DUALITY IN CONSUMER THEORY\u003c\/p\u003e\u003cp\u003e5.2 SEPARABILITY AND ADDITIVITY\u003c\/p\u003e\u003cp\u003e5.3 SELF-DUALITY IN DEMAND THEORY\u003c\/p\u003e\u003cp\u003e5.4 A METHOD OF DERIVING SELF-DUAL DEMAND FUNCTIONS\u003c\/p\u003e\u003cp\u003e5.5 EMPIRICAL ESTIMATION OF SELF-DUAL DEMAND FUNCTIONS\u003c\/p\u003e\u003cp\u003e5.6 IMPLICIT SELF-DUALITY OF PRODUCTION AND COST FUNCTIONS\u003c\/p\u003e\u003cp\u003e5.7 CONCLUSION\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e6 The Theory of Index Numbers\u003c\/p\u003e\u003cp\u003e6.1 STATISTICAL APPROACH\u003c\/p\u003e\u003cp\u003e6.2 TEST APPROACH\u003c\/p\u003e\u003cp\u003e6.3 ECONOMIC INDEX NUMBERS\u003c\/p\u003e\u003cp\u003e6.4 DIVISIA INDEX\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e7 Dynamics and Conservation Laws\u003c\/p\u003e\u003cp\u003e7.1 THE VARIATIONAL PROBLEM AND THE RAMSEY RULE\u003c\/p\u003e\u003cp\u003e7.2 STEADY STATE AND THE GOLDEN RULES\u003c\/p\u003e\u003cp\u003e7.3 THE HAMILTONIAN FORMULATION AND CONTROL THEORY\u003c\/p\u003e\u003cp\u003e7.4 NOETHER THEOREM AND ITS IMPLICATIONS\u003c\/p\u003e\u003cp\u003e7.5 CONSERVATION LAWS IN VON NEUMANN MODEL\u003c\/p\u003e\u003cp\u003e7.6 MEASUREMENT OF NATIONAL INCOME AND INCOME-WEALTH RATIOS\u003c\/p\u003e\u003cp\u003e7.7 CONCLUSION\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003ePart II Recent Developments\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e8 The Invariance Principle and Income-Wealth Conservation Laws\u003c\/p\u003e\u003cp\u003e8.1 INTRODUCTION\u003c\/p\u003e\u003cp\u003e8.2 BRIEF SUMMARY OF THE LITERATURE\u003c\/p\u003e\u003cp\u003e8.3 A MODEL WITH HETEROGENEOUS CAPITAL GOODS\u003c\/p\u003e\u003cp\u003e8.4 NOETHER'S THEOREM (INVARIANCE PRINCIPLE\u003c\/p\u003e\u003cp\u003e8.5 INCOME-WEALTH CONSERVATION LAWS\u003c\/p\u003e\u003cp\u003e8.6 SPECIAL CASES\u003c\/p\u003e\u003cp\u003e8.7 GENERALIZED INCOME\/ WEALTH CONSERVATION LAWS\u003c\/p\u003e\u003cp\u003e8.8 INCOME-CAPITAL (WEALTH) CONSERVATION LAW\u003c\/p\u003e\u003cp\u003eIN THE VON NEUMANN MODEL\u003c\/p\u003e\u003cp\u003e8.9 THE TOTAL VALUE CONSERVATION LAWOF THE FIRM\u003c\/p\u003e\u003cp\u003e8.10 EMPIRICAL APPLICATIONS\u003c\/p\u003e\u003cp\u003e8.11 SUMMARY\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e9 Conservation Laws in Continuous and Discrete Models\u003ci\u003e---\u003c\/i\u003eIn memory of Professor Mineo Ikeda\u003c\/p\u003e\u003cp\u003e9.1 INTRODUCTION\u003c\/p\u003e\u003cp\u003e9.2 CONTINUOUS MODELS\u003c\/p\u003e\u003cp\u003e9.3 DISCRETE MODELS (2012 VERSION) BY SHIGERU MAEDA\u003c\/p\u003e\u003cp\u003e9.4 SUMMARY\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e10 Quantity or Quality: The Impact of Labour Saving Innovation on US and Japanese Growth Rates, 1960-2004\u003c\/p\u003e\u003cp\u003e10.1 INTRODUCTION\u003c\/p\u003e\u003cp\u003e10.2 A MODEL OF BIASED (LABOUR SAVING) TECHNICAL CHANGE\u003c\/p\u003e\u003cp\u003e10.3 APPLICATIONS TO THE US AND JAPANESE DATA\u003c\/p\u003e\u003cp\u003e10.4 CONCLUSION\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e11 A Survey on Recent Developments\u003c\/p\u003e\u003cp\u003e11.1 Introduction\u003c\/p\u003e\u003cp\u003e11.2 Extensions of the Income-Wealth Conservation Law\u003c\/p\u003e\u003cp\u003e11.3 Externalities and Policy Interventions \u003c\/p\u003e\u003cp\u003e11.4 Stochastic Income and Wealth Conservation Law\u003c\/p\u003e\u003cp\u003e11.5 Warning\u003c\/p\u003e\u003cp\u003e11.6 Conservation Laws and Helmholtz Conditions\u003c\/p\u003e\u003cp\u003e11.7 Comparisons: Three Approaches\u003c\/p\u003e\u003cp\u003e11.8 Hartwick Rule and Conservation Laws\u003c\/p\u003e\u003cp\u003e11.9 More Abstract Applications of Group Theory to Economics and Finance\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e12 Appendix to Part II---Symmetry: An Overview of Geometric Methods in Economics\u003c\/p\u003e\u003cp\u003e12.1 INTRODUCTION\u003c\/p\u003e\u003cp\u003e12.2 TOOLBOX\u003c\/p\u003e\u003cp\u003e12.3 HOLOTHETICITY: SYMMETRY OF THE ISOQUANT MAP\u003c\/p\u003e\u003cp\u003e12.4 EXAMPLES OF CONSERVATION LAWS IN ECONOMICS\u003c\/p\u003e\u003cp\u003e12.5 CONCLUSION\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ryuzo Sato, Rama V. Ramachandran\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 4431560831\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9784431560838\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/23\/2016\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 273\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.90lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.60d","brand":"Ryuzo Sato","offers":[{"title":"Paperback","offer_id":46617953304831,"sku":"9784431560838","price":109.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_fb9a4cc9-cb2d-4572-9f75-15e4254347e1.jpg?v=1740068782","url":"https:\/\/www.whiterainbookhouse.com\/products\/symmetry-and-economic-invariance-ryuzo-sato-9784431560838","provider":"WR Book House","version":"1.0","type":"link"}