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We consider the problem of determining a sequence of payments among a set of entities that clear (if possible) the liabilities among them. We formulate this as an optimal control problem, which is convex when the objective function is, and therefore readily solved. For this optimal control...
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This is the partial manuscript of a book developing the tools of nonstandard analysis, geared to applications in …
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"Problems Book to Accompany Mathematics for Economists" is intended to complement any course in quantitative methods in … aimed as an inexpensive supplement to nearly all undergraduate courses in mathematics for economists with the exception of … economics. The book supplements one of the most widely used texts "Mathematics for Economists" by Carl Simon and Laurence Blume …
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In this contribution we propose an approach to solve a multistage stochastic programming problem which allows us to obtain a time and nodal decomposition of the original problem. This double decomposition is achieved applying a discrete time optimal control formulation to the original stochastic...
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