Foundations of Game Theory: Noncooperative Games
In: Springer eBook Collection
Historical notes and references for the Foreword and Introduction -- 1 Noncooperative games -- 1 Noncooperative games and their components -- 2 Optimality principles in noncooperative games -- 3 Realizability of A-optimality principles -- 4 Realizability of A-principles in metastrategies -- 5 Realizability of equilibrium situations in mixed strategies -- 6 Natural topology in games -- Notes and references for Chapter 1 -- 2 Finite noncooperative games -- 1 Finite noncooperative games -- 2 Dyadic games -- 3 Solution of general finite noncooperative games -- 4 On the structure of the set of equilibria in finite noncooperative games -- 5 The complexity of solution of finite noncooperative games -- 6 Reduction to three-person games -- Notes and references for Chapter 3 -- 3 Two-person zero-sum games -- 1 Optimality in two-person zero-sum games -- 2 Basis of the maximin principle -- 3 Minimax theorems -- 4 Finitely additive strategies -- 5 Analytic games on the unit square -- 6 Separable games -- 7 Convex games -- 8 Games with a simple payoff function -- 9 Games of timing -- Notes and references for Chapter 3 -- 4 Matrix games -- 1 Basic concepts and propositions -- 2 Solution of matrix games of small format -- 3 Matrix games and linear programming -- 4 Description of all equilibrium situations in matrix and bimatrix games -- 5 Solution of matrix games with matrix payoffs of a special form -- 6 Approximate methods for solving matrix games -- 7 Structure of the set of a matrix game -- Notes and references for Chapter 4 -- References -- Collections -- List of Joint Authors -- Index of Notations.