Titlebook: Advances in Mathematical Economics; Shigeo Kusuoka (Professor),Toru Maruyama (Professo Book 2003 Springer Japan 2003 Monte Carlo method.ec

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Advances in Mathematical Economics978-4-431-53979-7Series ISSN 1866-2226 Series E-ISSN 1866-2234

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1866-2226 Overview: 978-4-431-67976-9978-4-431-53979-7Series ISSN 1866-2226 Series E-ISSN 1866-2234

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https://doi.org/10.1007/978-2-8178-0039-4Euler Equation of the dual problem. This is done by introducing the . and using its basic properties. The cost functions we consider satisfy a generalization of the so-called . which is well-known by economists in dimension 1. We therefore end this article by a somehow unexpected application to the ..

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,Les codes convolutifs et leur décodage,and in practice. Examples are well known of optimization problems for which multipliers do not exist. So it is important to know what requirements constraint functions must satisfy to be “Lagrange regular,” i.e. to guarantee existence of multipliers for broad classes of maximand or minimand functions. We relax the requirements in three directions:

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https://doi.org/10.1007/978-4-431-53979-7Monte Carlo method; economic theory; finance; mathematical economics; optimization; probability; statistic

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https://doi.org/10.1007/978-2-8178-0039-4able reflexive Banach space . such that its strong dual .′ is uniformly convex. We discuss the existence of strong solutions for an evolution equation of the form . a.e in [0,1], where .: [−., 1] → . is a continuous mapping from [−., 1] into E such that its restriction to [−., 0] is equal to ϕ ∈ ..,

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,Les codes convolutifs et leur décodage, The movement toward an axiomatization in economics took place only in Vienna. We must not dismiss the intellectual backgrounds in Vienna, which could be classified under the following headings; (a) the research activities in economics, (b) Hubert’s philosophy on the foundations of mathematics, (c)