METHODS OF MODERN GAME THEORY AND MATHEMATICS IN ECONOMICS
定 价：58 元
- 作者：张盛开，张亚东 编
- 出版时间：2016/6/1
- ISBN：9787565423277
- 出 版 社：经济科学出版社，东北财经大学出版社
- 中图法分类：O225
- 页码：254
- 纸张：胶版纸
- 版次：1
- 开本：16开
现代经济学与数学有着千丝万缕的关系，博弈论作为应用数学的一个分支更是对现代经济学发展有着深刻影响。《METHODS OF MODERN GAME THEORY AND MATHEMATICS IN ECONOMICS
》简要探讨了博弈论中体现的数学思想以及博弈论在数学与经济学中的应用。
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
《METHODS OF MODERN GAME THEORY AND MATHEMATICS IN ECONOMICS》：
7.2 Impact of Fire Burnmg Calories and Rising Speed on Safety
For large commercial districts and the ground buildings， once a fire occurs， the floor is higher， the loss is greater， and the e.scape safety coefficient is lower.Tall building evacuation system is mainly through the stairs， windows or aerial ladder and helicopters， etc.According to incomplete stati.stic.s， in case a fire occurring in a high—rise， survivors running away from the stairs account for more than about 97% of the total，not e.scape stairs， the more high more dangerous.The main reason is that in the lower floor persons can use the rope from the window to escape， escape form high—rise uilding is difficult.For the large foreign hotel rooms in addition to install alarms， every room in the base of bed，placed with wheels have tied ropes， for .safe escape.These ropes are in more than 20 meters long， can use it at least or down the rope to the ground， or to a lower floor， at least the possibility of escape.The ground buildings can escape way at least， not a single is given priority to with the stairs.However， the underground mall is different.It has no more than the possibility of escape.
Generally speaking， the underground mall is surrounded by walls without window.s， unless there is a special set of channels， this is only the stairs， because in the event of fire， the lift is the only system to ban the use of personnel flow channel is the stairs.Therefore stair channel with the passage of the stairs in underground mall have different functions with that of the overground mall in a fire or other emergencies occur， for it i.s the only way to personnel outflow in the mall.
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