Titlebook: Differential Topology and General Equilibrium with Complete and Incomplete Markets; Antonio Villanacci,Laura Carosi,Andrea Battinelli Book

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Restricted Participationinstitutional features (and not just the flavor of restricted participation) since it permits, for instance, modeling short sales bounds or market margin requirements. Of course, in principle such constraints should themselves be determined endogenously”..

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Differential Topology and General Equilibrium with Complete and Incomplete Markets

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Differential Topology and General Equilibrium with Complete and Incomplete Markets978-1-4757-3619-9

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Differentials manifolds. As we argued in the introduction of Chapter 2, one of the main objects of elementary calculus is the representation of the local behavior of nonlinear functions mapping open subsets of ℝ. into ℝ. by means of their linear and higher order approximations. Similarly, one of the main purpose

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Regular Valuesspaces, do not hold in full generality, but only under appropriate restrictions. For example, most, but not all, the level sets of a .. function exhibit a manifold structure (if they are not empty). The concept of regular value provides in this case the appropriate dividing line, as stated by the re

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Manifolds with Boundary closed unit ball, a solid torus, a compact cylindrical surface. Those sets fail to be .. manifolds because of points they have on their “boundaries”. In fact, around those points they look like closed euclidean halfspaces or even convex cones. The definition of manifold with boundary deals with thi

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