Combinatorial Games: Tic-Tac-Toe Theory
Combinatorial Games: Tic-Tac-Toe Theory
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组合游戏：井字游戏理论
DOI：
10.5860/choice.46-0343
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
József Beck
中科院分区：
文献类型：
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作者：
József Beck
序言本书概要第一部分.弱胜强平：1。赢对弱赢2.主要结果：无限类对策的精确解第二部分.基本势技术-博弈论第一和第二时刻：3。简单的应用程序4.游戏和随机性第三部分。高级弱胜-游戏理论更高的时刻：5。自我提升潜力6.什么是偏置元猜想，为什么它如此困难？第四部分.高级强平局-游戏理论独立性：7。BigGame-SmallGame分解8.高级分解9. 10. game theoretical lattice-numbers结论附录A. Ramsey数附录B。Hales-Jewett定理：Shelah的证明附录C。位置对策的一个正式处理附录D.博弈论的非正式介绍附录E。新的结果完整列表的开放问题什么样的游戏？字典的短语和概念的字典参考。
Preface A summary of the book in a nutshell Part I. Weak Win and Strong Draw: 1. Win vs. weak win 2. The main result: exact solutions for infinite classes of games Part II. Basic Potential Technique - Game-Theoretic First and Second Moments: 3. Simple applications 4. Games and randomness Part III. Advanced Weak Win - Game-Theoretic Higher Moment: 5. Self-improving potentials 6. What is the Biased Meta-Conjecture, and why is it so difficult? Part IV. Advanced Strong Draw - Game-Theoretic Independence: 7. BigGame-SmallGame decomposition 8. Advanced decomposition 9. Game-theoretic lattice-numbers 10. Conclusion Appendix A. Ramsey numbers Appendix B. Hales-Jewett theorem: Shelah's proof Appendix C. A formal treatment of positional games Appendix D. An informal introduction to game theory Appendix E. New results Complete list of the open problems What kinds of games? A dictionary Dictionary of the phrases and concepts References.