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Titlebook: Symmetry and Economic Invariance; Ryuzo Sato,Rama V. Ramachandran Book 2014Latest edition Springer Japan 2014 Economic Equilibrium.Economi

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楼主: deferential
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A Survey on Recent DevelopmentsThe recent book by Vincent Martinet (2012) on ., illustrates how far we came and how much we have achieved in the theory of growth and economic invariance. This book is about ecological economics but utilizes group theory and Noether’s invariance principle to derive meaningful theoretical propositions.
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Conservation Laws in Continuous and Discrete Modelss by Weitzman (1976); Sato (1981, 1985); Kemp and Long (1982); Samuelson (1971, 1982); Sato, Nono and Mimura (1983); and Sato and Maeda (1987) provide an indication of the rapid progress being made in this field.
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Appendix to Part II. Symmetry: An Overview of Geometric Methods in Economicsciples of geometric spaces. The idea that the quantitative variables of a science are describable by geometric objects and that the laws governing these variables are expressible as geometric relation between the objects, can be traced back to Felix Klein’s inaugural address at the Erlanger University in 1872.
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Technical Progress and Economies of Scale: Concept of Holotheticityext, growth theorists, while attributing most of the growth in per capita output to factors other than the increase in capital intensity, are not able to agree whether productivity increases should be modelled as arising from technological change or scale effects. Finally, econometricians recognize
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Utility and Demandand the cost of inputs. In previous chapters, we discussed how group theoretic method allows us to examine the effects of technological change on supply. In this chapter, we look how the traditional results of demand theory can be reinterpreted using group theoretic methods.
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Duality and Self Dualityplications of the optimization problem and the restrictions that have to be imposed on functional relations to enable econometric estimation become more transparent in the dual than in the original formulation.
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