Chapters

Preface

Chapter 1 Introduction

1.Introduction

2.Modelof Matrix Games

3.Examples

References

Chapter 2 Gamesof Discrete State Spaces

1.Introduction

2.Main Theorems

References

Chapter 3 The Values of Non-Cooperativen-Person Games

1.Introduction

2.Main Theorems

3.Proof of Theorem 1

4.Proof of Theorem 2

References

Chapter 4 The Value of Composition Games and (0,1) Normalization Games(Ⅰ-Ⅱ)

1.Introduction

2.Composition Games

3.Especial Games

References

Chapter 5 The Values of Denumerable Persons Games on the Equivalent Spaces

1.Basic Concepts

2.Main Results

3.Proof of the Main Theorems

References

Chapter 6 Convexity of Linear Convex Compositions of Games

1.Basic Concepts

2.Main Results and Their Proofs

References

Chapter 7 Gamesof Timing

1.Preliminaries

2.General Conditionsonan Optimum Strategy

3.The Integral Equationf or f(x)

4.On Integral Equations with a Positive Kernel

5.The Dependenceon Limits of Integration

6.The Optimal Sratetgy

7.Reduction to Linear Differential Equations

References

Chapter 8 Totally θ-Balanced Gameson Network

1.Basic Concepts

2.Main Results and Its Proof

References

Chapter 9 Asymptotic Semivalues of Denumberable Player Games

1.Basic Concepts

2.Some Propertiesof ASYMP(ξ)

3.Existenceof Asymptotic Semiv alues-Subspaces of ASYMP(ξ)

References

Chapter 10 A Note on the Cores of Games with Coalition Structures

1.Introduction

2.Main Theorem and Its Proof

References

Chapter 11 ZS-Valuefor Random Coalition Games

1.Introduction

2.Basic Concepts

3.The Valuef or Random Coalition Gamesand Main Theorems

4.Proof of Main Rsultsa

5.Examples

6.Comparing The ZS-Value with Shapley Valueand B-CValue

References

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

References

Chapter 13 Realizability of Expected Nash Equilibria of n-Person Condition Gamesunder Strong Knowledge System

1.Introduction

2.Basic Concepts and Symbols

3.Main Results

4.Some Examples

5.Conclusion

References

Chapter 14 Summarizeto 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-Players

4.Acknowledgements

References

Chapter 15 Applying Mathematical Methods to Solve Equipment Renewal Problems

1.Introduction

2.Proof of Main Theorems

3.Example

4.Acknowledgements

References

Chapter 16 The Systems of Direct Loop Flows of Urban Transportation

References

Chapter 17 Generalization of Sequencing Problems of the Optimum Service ForModel P-J

References

Chapter 18 The Problems of Optimal Allocation for Numerical Systems

1.Fundamental Conceptsand Results

2.Applications

References

Chapter 19 About Analysis of Dalian Reservoir Conditions

1.Basic Case

2.Analysis of Urban Water Consumption and Water Saving and Urban Deve lopment

3.Optimal Control Method for Urban Consumption

References

Chapter 20 Methods of Mathematic in Management Problems

1.Research and Analysis on Dalian Victory Shopping Plaza

2.Overview of Fire Control and Security Work in Dalian Victory Shopping Plaza

3.The Optimum Service Sequencing Problems for Model K-S

4.Service Model in the Application of Underground Parking Lot

5.Underground Parking Lot of Canonical Correlation Analysis of a Moving Vehicle

6.Numerical Analysis of Underground Parking Lot of a Moving Vehicle

7.Analysis of the Customer Flow Direction of Securityin DalianVictory Shopping Plaza

8.Conclusion

References

Chapter 21 Development of Information System and Basic Researches:A Review

1.Introduction

2.Development of the Information Age

3.Development of Information Technology and Systems Science

4.Prospects of Information and Systems Development

References