Combinatorial Games: Tic-Tac-Toe Theory

摘要: Preface A summary of the book in a nutshell Part I. Weak Win and Strong Draw: 1. vs. weak win 2. The main result: exact solutions for infinite classes games II. Basic Potential Technique - Game-Theoretic First Second Moments: 3. Simple applications 4. Games randomness III. Advanced Higher Moment: 5. Self-improving potentials 6. What is Biased Meta-Conjecture, why it so difficult? IV. Draw Independence: 7. BigGame-SmallGame decomposition 8. 9. Game-theoretic lattice-numbers 10. Conclusion Appendix A. Ramsey numbers B. Hales-Jewett theorem: Shelah's proof C. formal treatment positional D. An informal introduction to game theory E. New results Complete list open problems kinds games? dictionary Dictionary phrases concepts References.