本帖隐藏的内容
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查遍亚马逊就知道这本书是最新的博弈论方面的导论性质教材,作者为美国Loyola university Chicago的E.N. Barron,这本书主要是写给数学系大学生看的,按照作者的原话理解就是,难度对于经济系的大学生稍微有那么一点高,但对于数学系的大学生来说,难度又稍微有些低,毕竟是导论性质的课程嘛。
如果你喜欢数学教材的定义---定理---证明范式,又喜欢鼓捣点Maple,那么恭喜你,这本书就是你想要的。但这次我收费比较狠20论坛币,谁叫你那么有钱呢?当然如果你实在喜欢这本书,论坛币又低于1000元,那么你帮我多顶贴,顶个三五次就行了,站内短消息告诉我,我免费送你。
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书名: 博弈论导论Game Theory: An Introduction
作者:E. N. Barron(Loyola University Chicago )
出版社: Wiley-Interscience
出版年份: 2008
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A fundamental introduction to modern game theory from a mathematical viewpointGame theory arises in almost every fact of human and inhuman interaction since oftentimes during these communications objectives are opposed or cooperation is viewed as an option. From economics and finance to biology and computer science, researchers and practitioners are often put in complex decision-making scenarios, whether they are interacting with each other or working with evolving technology and artificial intelligence. Acknowledging the role of mathematics in making logical and advantageous decisions, Game Theory: An Introduction uses modern software applications to create, analyze, and implement effective decision-making models.While most books on modern game theory are either too abstract or too applied, this book provides a balanced treatment of the subject that is both conceptual and hands-on. Game Theory introduces readers to the basic theories behind games and presents real-world examples from various fields of study such as economics, political science, military science, finance, biological science as well as general game playing. A unique feature of this book is the use of Maple to find the values and strategies of games, and in addition, it aids in the implementation of algorithms for the solution or visualization of game concepts. Maple is also utilized to facilitate a visual learning environment of game theory and acts as the primary tool for the calculation of complex non-cooperative and cooperative games.Important game theory topics are presented within the following five main areas of coverage:Two-person zero sum matrix gamesNonzero sum games and the reduction to nonlinear programmingCooperative games, including discussion of both the Nucleolus concept and the Shapley valueBargaining, including threat strategiesEvolutionary stable strategies and population gamesAlthough some mathematical competence is assumed, appendices are provided to act as a refresher of the basic concepts of linear algebra, probability, and statistics. Exercises are included at the end of each section along with algorithms for the solution of the games to help readers master the presented information. Also, explicit Maple and Mathematica\u00ae commands are included in the book and are available as worksheets via the book's related Web site. The use of this software allows readers to solve many more advanced and interesting games without spending time on the theory of linear and nonlinear programming or performing other complex calculations.With extensive examples illustrating game theory's wide range of relevance, this classroom-tested book is ideal for game theory courses in mathematics, engineering, operations research, computer science, and economics at the upper-undergraduate level. It is also an ideal companion for anyone who is interested in the applications of game theory.<\/p>
Table of Contents
Contents
Preface
Acknowledgments
Introduction
1 Matrix Two-person Games
- 1.1 The Basics
- 1.2 The Von Neumann Minimax Theorem
- 1.3 Mixed Strategies
- 1.4 Solving 2x2 Games Graphically
- 1.5 Graphical Solution Of 2 M And 2 Games
- 1.6 Best Response Strategies
- 2.1 Solution Of Some Special Games
- 2.2 Invertible Matrix Games
- 2.3 Symmetric Games
- 2.4 Matrix Games And Linear Programming
- 2.5 Linear Programming And The Simplex Method (optional)
- 2.6 A Game Theory Model Of Economic Growth (optional)
- 3.1 The Basics
- 3.2 2x2 Bimatrix Games
- 3.3 Interior Mixed Nash Points By Calculus
- 3.4 Nonlinear Programming Method For Nonzero Sum Two-person Games
- 3.5 Choosing Among Several Nash Equilibria (optional)
- 4.1 The Basics
- 4.2 Economics Applications Of Nash Equilibria
- 4.3 Duels (optional)
- 4.4 Auctions (optional)
- 5.1 Coalitions And Characteristic Functions
- 5.2 The Nucleolus
- 5.3 The Shapley Value
- 5.4 Bargaining
- 6.1 Evolution
- 6.2 Population Games
Appendix B The Essentials Of Probability
Appendix C The Essentials Of Maple
Appendix D The Mathematica Commands
Appendix E Biographies
Problem Solutions
References
Index
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