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概率、策略和选择:博弈与选举中的数学(英文)
作者:[美] 塞缪尔·布鲁斯·史密斯 著
出版社:哈尔滨工业大学出版社
出版时间:2020-11-01
ISBN:9787560391922
定价:¥58.00
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内容简介
《概率、策略和选择:博弈与选举中的数学(英文)》从赌博博弈、纳什均衡、零和博弈、囚徒困境、组合博弈、选举的公平性和不可能性定理等基础知识入手,通过对诸如斯普拉格格朗迪定理和阿罗的不可能性定理等高级主题的可得性证明,该书将进一步深入到这些理论之中,运用概率论、博弈论和社会选择理论的综合方法,突出在博弈和选举的开创性结果中出现的各种想法的结合。《概率、策略和选择:博弈与选举中的数学(英文)》共分三个部分:概念、基本理论和专题。该书适合高等院校的师生参考阅读,适用于大一和大二的博弈论通识教育课程参考使用。
作者简介
暂缺《概率、策略和选择:博弈与选举中的数学(英文)》作者简介
目录
Preface
Part Ⅰ First Notions
1 Introduction
2 Games and Elections
3 Chance
4 Strategy
5 Choice
6 Strategy and Choice
7 Choice and Chance
8 Chanceand Strategy
9 Nash Equilibria
Web Resources
Part Ⅱ Basic Theory
10 Proofs and Counterexamples
11 Laws of Probability
12 Fairness in Elections
13 Weighted Voting
14 Gambling Games
15 Zero-Sum Games
16 Partial-Conflict Games
17 Takeaway Games
18 Fairness and Impossibility
Suggestions for Further Reading
Part Ⅲ Special Topics
19 Paradoxes and Puzzles in Probability
20 Combinatorial Games
21 Borda versus Condorcet
22 The Sprague-GrundyTheorem
23 Arrow's Impossibility Theorem
Suggestions for Further Reading
Bibliography
Index
编辑手记
Part Ⅰ First Notions
1 Introduction
2 Games and Elections
3 Chance
4 Strategy
5 Choice
6 Strategy and Choice
7 Choice and Chance
8 Chanceand Strategy
9 Nash Equilibria
Web Resources
Part Ⅱ Basic Theory
10 Proofs and Counterexamples
11 Laws of Probability
12 Fairness in Elections
13 Weighted Voting
14 Gambling Games
15 Zero-Sum Games
16 Partial-Conflict Games
17 Takeaway Games
18 Fairness and Impossibility
Suggestions for Further Reading
Part Ⅲ Special Topics
19 Paradoxes and Puzzles in Probability
20 Combinatorial Games
21 Borda versus Condorcet
22 The Sprague-GrundyTheorem
23 Arrow's Impossibility Theorem
Suggestions for Further Reading
Bibliography
Index
编辑手记
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