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

hauteur

Choice as Geometry,The 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.

explicit

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漂亮

现代

Ige326

Two Conservation Laws in Theoretical Economics,dly recognized by Galileo, denied by Descartes, established by Huygens and Newton, culminated in the law of conservation of (mechanical) energy. Mathematically, this law is based upon a property of the calculus of variations according to which the optimizing solution to. has, because the integrand d

热心

progestogen

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:

Panther

chiropractor

Symmetries, Dynamic Equilibria, and the Value Function,oblem. Techniques for using symmetries are developed in the contexts of portfolio choice, optimal growth, and dynamic equilibria. Information on preferences, budget sets, and technology is combined to explicitly compute the solution. By focusing on the geometry of the underlying economic structure,

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