Author | Szรฉp, J. author |
---|---|
Title | Introduction to the Theory of Games [electronic resource] / by J. Szรฉp, F. Forgรณ |
Imprint | Dordrecht : Springer Netherlands, 1985 |
Connect to | http://dx.doi.org/10.1007/978-94-009-5193-8 |
Descript | XVIII, 392 p. 1 illus. online resource |
1. On equilibrium of systems -- 1.1. Basic ideas -- 1.2. Chains and traversable regions -- 1.3. Equilibrium point, stability set, equilibrium set -- 1.4. โEquilibrium propertiesโ of equilibrium points and equilibrium sets -- 1.5. On the existence of an equilibrium point -- 1.6. On the existence of stability sets -- 2. The n-person game -- 3. Existence theorems of equilibrium points -- 4. Special n-person games and methods to solve them -- 4.1. Mathematical programming methods for the solution of n-person concave games -- 4.2. Generalized polyhedral games -- 4.3. Solution of n-person zero-sum concave-convex games -- 4.4. Concave games with unique equilibrium points -- 5. The Scarf-Hansen algorithm for approximating an equilibrium point of a finite n-person game -- 6. The oligopoly game -- 6.1. The reduction principle -- 6.2. The general multiproduct case -- 6.3. The general linear case -- 6.4. The single-product case -- 7. Two-person games -- 8. Bimatrix games -- 8.1. Basic definitions and some simple properties of bimatrix games -- 8.2. Methods for solving bimatrix games -- 8.3. Examples -- 9. Matrix games -- 9.1. Equilibrium and the minimax principle -- 9.2. The set of equilibrium strategies -- 10. Symmetric games -- 11. Connection between matrix games and linear programming -- 12. Methods for solving general matrix games -- 12.1 Solution of matrix games by linear programming -- 12.2. Method of fictitious play -- 12.3. von Neumannโs method -- 13. Some Special Games and methods -- 13.1. Matrices with saddle-points -- 13.2. Dominance relations -- 13.3. 2 x n games -- 13.4. Convex (concave) matrix games -- 14. Decomposition of matrix games -- 15. Examples of matrix games -- 15.1. Example 1 -- 15.2. Example 2 -- 16. Games played over the unit square -- 17. Some special classes of games on the unit square -- 18. Approximate solution of two- person zero-sum games played over the unit square -- 19. Two-person zero-sum games over metric spaces sequential games -- 20. Sequential games -- 20.1. Shapleyโs stochastic game -- 20.2. Recursive games -- 21. Games against nature -- 22. Cooperative games in characteristic function form -- 23. Solution concepts for n-person cooperative games -- 23.1. The von Neumann-Morgenstern solution -- 23.2. The core -- 23.3. The strong e-core -- 23.4. The kernel -- 23.5. The nucleolus -- 23.6. The Shapley-value -- 24. Stability of pay-off configurations -- 25. A bargaining model of cooperative games -- 26. The solution concept of nash for n-person cooperative games -- 27. Examples of cooperative games -- 27.1. A linear production game -- 27.2. A market game -- 27.3. The cooperative oligopoly game -- 27.4. A game theoretic approach for cost allocation: a case -- 27.5. Committee decision making as a game -- 28. Game theoretical treatment of multicriteria decision making -- 29. Games with incomplete information -- 29.1. The Harsanyi-model -- 29.2. The Selten-model -- 29.3. Dynamic processes and games with limited information about the pay-off function -- Epilogue -- References -- Name Index