Optima and Equilibria: An Introduction to Nonlinear Analysis [2 ed.] 9783540649830, 3540649832
Advances in game theory and economic theory have proceeded hand in hand with that of nonlinear analysis and in particula
221 67 3MB
English Pages 433 [458] Year 1998
Table of contents :
Front Matter....Pages I-XVII
Introduction....Pages 1-6
Front Matter....Pages 7-7
Minimisation Problems: General Theorems....Pages 9-19
Convex Functions and Proximation, Projection and Separation Theorems....Pages 21-34
Conjugate Functions and Convex Minimisation Problems....Pages 35-56
Subdifferentials of Convex Functions....Pages 57-73
Marginal Properties of Solutions of Convex Minimisation Problems....Pages 75-86
Generalised Gradients of Locally Lipschitz Functions....Pages 87-99
Two-person Games. Fundamental Concepts and Examples....Pages 101-123
Two-person Zero-sum Games: Theorems of Von Neumann and Ky Fan....Pages 125-142
Solution of Nonlinear Equations and Inclusions....Pages 143-166
Introduction to the Theory of Economic Equilibrium....Pages 167-178
The Von Neumann Growth Model....Pages 179-188
n -person Games....Pages 189-209
Cooperative Games and Fuzzy Games....Pages 211-233
Front Matter....Pages 235-235
Exercises....Pages 237-302
Statements of Problems....Pages 303-347
Solutions to Problems....Pages 349-400
Back Matter....Pages 401-437
Front Matter....Pages I-XVII
Introduction....Pages 1-6
Front Matter....Pages 7-7
Minimisation Problems: General Theorems....Pages 9-19
Convex Functions and Proximation, Projection and Separation Theorems....Pages 21-34
Conjugate Functions and Convex Minimisation Problems....Pages 35-56
Subdifferentials of Convex Functions....Pages 57-73
Marginal Properties of Solutions of Convex Minimisation Problems....Pages 75-86
Generalised Gradients of Locally Lipschitz Functions....Pages 87-99
Two-person Games. Fundamental Concepts and Examples....Pages 101-123
Two-person Zero-sum Games: Theorems of Von Neumann and Ky Fan....Pages 125-142
Solution of Nonlinear Equations and Inclusions....Pages 143-166
Introduction to the Theory of Economic Equilibrium....Pages 167-178
The Von Neumann Growth Model....Pages 179-188
n -person Games....Pages 189-209
Cooperative Games and Fuzzy Games....Pages 211-233
Front Matter....Pages 235-235
Exercises....Pages 237-302
Statements of Problems....Pages 303-347
Solutions to Problems....Pages 349-400
Back Matter....Pages 401-437
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