METHODS of MODERN GAME THEORY and MATHEMATICS in ECONOMICS

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Author: Zhang Shengkai and Zhang Yadong
Language: English
ISBN/ISSN: 9787565423277
Published on: 2016-06
Hardcover

Chapter 1 Introduction
1.Introduction
2.Model of Matrix Games
3.Examples
Chapter 2 Games of Discrete State Spaces
1.Introduction
2.Main Theorems
Chapter 3 The Values of Non—Cooperative n—Person Games
1.Introduction
2.Main Theorems
3.Proof of Theorem 1
4.Proof of Theorem 2
Chapter 4 The Value of Composition Games and (0,1) Normalization Games (Ⅰ—Ⅱ)
1.Introduction
2.Composition Games
3.Especial Games
Chapter 5 The Values of Denumerable Persons Games on the Equivalent Spaces
1.Basic Concepts
2.Main Results
3.Proof of the Main Theorems
Chapter 6 Convexity of Linear Convex Compositions of Games
1.Basic Concepts
2.Main Result s and Their Proofs
Chapter 7 Games of Timing
1.Prcliminarics
2.General Conciitions on an Optimum Strategy
3.The Integral Equation for f(x)
4.On Integral Equations with a Positive Kernel
5.The Dependence on Limits of Integration
6.The Optimal Strategy
7.Reduction to Linear Differential Equations
Chapter 8 Totally O—Balanced Games on Network
1.Basic Conccpts
2.Main Results and Its Proof
Chapter 9 Asymptotic Semivalues of Denumberable Player Games
1.Basic Concepts
2.Some Properties of ASYMP(ξ)
3.Existence of Asymptotic Serruvalues—Subspaces of ASYMP(ξ)
Chapter 10 A Note on the Cores of Games with Coalition Structures
1.lntroduction
2.Main Theorem andlts Proof
Chapter 11 ZS—Value for Random Coalition Games
1.Introduction
2.Basic Concepts
3.The Value for Random Coalition Games and Main Theorems
4.Proof of Main Results
5.Examples
6.Comparing The ZS—Value with Shapley Value and B—C Value
Chapter 12 Convex Linear Generalization of Random Coalition Games
1.Characteristic Function and Convex Linear Combination of the Games
2.Structure of Coalitions and ZS—Axioms
3.Main Results and the Proof
Chapter 13 Realizability of Expected Nash Equilibria of n—Person Condition Games under Strong Knowledge System
1.Introduction
2.Basic Concepts and Symbols
3.Main Results
4.Some Examples
5.Conclusion
Chapter 14 Summarize to Game Theory
1.Study of Balancedness in Game Theory
2.Equilibrium Problems of n—Players Game
3.Convertible and Non—Convertible Potential Indices of n—Player Game
4.Acknowledgements
Chapter 15 Applying Mathematical Methods to So:ve Equipment Renewal Problems
Chapter 16 The Systems of Direct Loop Flows of Urban Transportation
Chapter 17 Generalization of Sequencing Problems of the Optimum Service For Model P—J
Chapter 18 The Problems of Optimal Allocation for Numerical Systems
Chapter 19 About Analysis of Dalian Reservoir Conditions
Chapter 20 Methods of Mathematic in Management Problems 



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