书名:Game Theory---A Multi-Leveled Approach
作者:Hans Peters
目录:1 Introduction ................................................... 1
1.1 A Definition . . . ............................................ 1
1.2 SomeHistory.............................................. 1
1.3 Examples ................................................. 3
1.3.1 Zero-SumGames .................................... 3
1.3.2 Nonzero-SumGames................................. 5
1.3.3 ExtensiveFormGames ............................... 8
1.3.4 Cooperative Games .................................. 12
1.3.5 BargainingGames ................................... 15
1.4 Cooperative vs. Noncooperative Game Theory .................. 16
Problems ...................................................... 16
Part I Thinking Strategically
2 Finite Two-Person Zero-Sum Games ............................. 21
2.1 BasicDefinitionsandTheory................................. 21
2.2 Solving 2×n Games and m×2Games ........................ 23
2.2.1 2×n Games ........................................ 24
2.2.2 m×2Games........................................ 25
2.2.3 StrictDomination.................................... 27
Problems ...................................................... 28
3 Finite Two-Person Games ....................................... 31
3.1 BasicDefinitionsandTheory................................. 31
3.2 Finding Nash Equilibria . . . ......................... 33
3.2.1 Pure Nash Equilibria ................................. 33
3.2.2 2×2Games ........................................ 35
3.2.3 StrictDomination.................................... 36
Problems ...................................................... 38
4 Finite Extensive Form Games ................................... 43
5 Finite Games with Incomplete Information ....................... 59
6 Noncooperative Games: Extensions .............................. 73
7 Repeated Games ...............................................101
8 An Introduction to Evolutionary games ...................111
9 Cooperative Games with Transferable Utility.................121
10 Cooperative Game Theory Models ...