Download E-books Optima and Equilibria: An Introduction to Nonlinear Analysis (Graduate Texts in Mathematics) PDF

By Jean-Pierre Aubin

Development within the conception of monetary equilibria and in online game idea has proceeded hand in hand with that of the mathematical instruments utilized in the sphere, particularly nonlinear research and, particularly, convex research. Jean-Pierre Aubin, one of many prime experts in nonlinear research and its program to economics, has written a rigorous and concise - but nonetheless user-friendly and self-contained - textbook offering the mathematical instruments had to research optima and equilibria, as options to difficulties, bobbing up in economics, administration sciences, operations examine, cooperative and non-cooperative video games, fuzzy video games and so on. It starts off with the rules of optimization thought, and mathematical programming, and particularly convex and nonsmooth research. Nonlinear research is then awarded, first game-theoretically, then within the framework of set valued research. those effects are then utilized to the most periods of financial equilibria. The e-book comprises quite a few workouts and difficulties: the latter enable the reader to enterprise into components of nonlinear research that lie past the scope of the booklet and of such a lot graduate classes.

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