Titlebook: Conservation Laws and Symmetry: Applications to Economics and Finance; Ryuzo Sato,Rama V. Ramachandran Book 1990 Springer Science+Business

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Preliminaries from Number Theory,rns to scale over a range of outputs, and they may be affected by technological processes that increase factor productivity over time. Economists have undertaken empirical studies of technical progress and economies of scale for a variety of industries and at various levels of aggregation. The appro

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Computer Capabilities and Limitationsthe total factor productivity approach to technical change under an assumption of constant returns to scale, the rate of technical change is computed as the growth rate of real output less the share-weighted sum of the growth rates of the real factor inputs. In the dual cost function approach to pro

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Laboratory and Legislative Control,y. where . is assumed to be homogeneous-first-degree, concave, and smoothly differentiable. An optimal control program of intertemporal efficiency requires that, for assigned initial (.., .., ..., ..) and terminal (.., .....) at time . > 0, we must maximize ... This defines the variational problem

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Properties of UHT-Processed Milk,fferential equations.to be identified with the Euler-Lagrange equations for some Lagrangean .:.where .. The conditions, usually referred to as the Helmholtz conditions due to the initial investigation of Helmholtz (1887), are as follows:

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Law of Conservation of the Capital-Output Ratio in Closed von Neumann Systems,y. where . is assumed to be homogeneous-first-degree, concave, and smoothly differentiable. An optimal control program of intertemporal efficiency requires that, for assigned initial (.., .., ..., ..) and terminal (.., .....) at time . > 0, we must maximize ... This defines the variational problem

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Conservation Laws Derived , the Application of Helmholtz Conditions,fferential equations.to be identified with the Euler-Lagrange equations for some Lagrangean .:.where .. The conditions, usually referred to as the Helmholtz conditions due to the initial investigation of Helmholtz (1887), are as follows:

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https://doi.org/10.1007/978-94-017-1145-6Group theory; Russia; economics; equilibrium; general equilibrium; instability; invariance; stability

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978-90-481-5786-0Springer Science+Business Media New York 1990

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https://doi.org/10.1007/978-1-4615-2157-0The purpose of this paper is to provide a differential geometric framework for the analysis of individual choice under uncertainty. Since this approach is far from standard, we begin by discussing informally how choice can be geometrised, and why we believe the approach has value.