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Optima and Equilibria Book

Optima and Equilibria
Optima and Equilibria, , Optima and Equilibria has a rating of 4.5 stars
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  • Optima and Equilibria
  • Written by author Jean-Pierre Aubin
  • Published by Springer-Verlag New York, LLC, August 1998
  • Advances in game theory and economic theory have proceeded hand in hand with that of nonlinear analysis and in particular, convex analysis. These theories motivated mathematicians to provide mathematical tools to deal with optima and equilibria. Jean-Pier
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Book Categories

Authors

Pt. INonlinear Analysis: Theory
1Minimisation Problems: General Theorems9
2Convex Functions and Proximation, Projection and Separation Theorems21
3Conjugate Functions and Convex Minimisation Problems35
4Subdifferentials of Convex Functions57
5Marginal Properties of Solutions of Convex Minimisation Problems75
6Generalised Gradients of Locally Lipschitz Functions87
7Two-person Games. Fundamental Concepts and Examples101
8Two-person Zero-sum Games: Theorems of Von Neumann and Ky Fan125
9Solution of Nonlinear Equations and Inclusions143
10Introduction to the Theory of Economic Equilibrium167
11The Von Neumann Growth Model179
12n-person Games189
13Cooperative Games and Fuzzy Games209
Pt. IINonlinear Analysis: Examples
14Exercises235
15Statements of Problems301
16Solutions to Problems347
17Compendium of Results401
References421
Index425


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