| 查看: 1425 | 回复: 27 | |||||
| 【奖励】 本帖被评价23次，作者pkusiyuan增加金币 18.2 个 | |||||
[资源]
Insights Into Game Theory
|
|||||
|
Contents Preface page xi Introduction xii 1 Mathematical Matching 1 1.1 Introduction 1 1.2 The Matching Problem 2 1.3 Exercises 7 1.4 Further Examples 10 1.5 Exercises 13 1.6 A Procedure for Finding Stable Matching Systems (The Gale–Shapley Algorithm) 15 1.7 Exercises 18 1.8 A Stable Matching System Always Exists 19 1.9 The Maximum Number of Courtship Stages in the Gale–Shapley Algorithm 21 1.10 Generalization 26 1.11 Exercises 33 1.12 The Gale–Shapley Algorithm and the Assignment Problem 37 1.13 Exercises 40 1.14 Optimality 43 1.15 Exercises 49 1.16 Condition for the Existence of a Unique Stable Matching System 52 1.17 Exercises 54 1.18 Discussion 55 1.19 Review Exercises 56 viii contents 2 Social Justice 59 2.1 Presentation of the Problem 59 2.2 Mathematical Description of the Problem 62 2.3 Exercises 64 2.4 Social Choice Function 67 2.5 Axioms for the Social Choice Function 77 2.6 Exercises 80 2.7 What Follows from Axioms 1–4? 81 2.8 Exercises 85 2.9 Arrow’s Theorem 87 2.10 What Next? 92 2.11 Review Exercises 93 3 The Shapley Value in Cooperative Games 97 3.1 Introduction 97 3.2 Cooperative Games 98 3.3 Important Examples of Coalition Function Games 101 3.4 Exercises 105 3.5 Additive Games 106 3.6 Superadditive Games 107 3.7 Majority Games 108 3.8 Exercises 112 3.9 Symmetric Players 113 3.10 Exercises 115 3.11 Null Players 116 3.12 Exercises 117 3.13 The Sum of Games 118 3.14 Exercises 121 3.15 The Shapley Value 124 3.16 Exercises 133 3.17 Dissolving a Partnership 133 3.18 Exercises 141 contents ix 3.19 The Shapley Value as the Average of Players’ Marginal Contributions 142 3.20 Exercises 146 3.21 The Shapley Value as a Player’s Index of Power in Weighted Majority Games 148 3.22 Exercises 153 3.23 The Shapley–Shubik Index as an Index for the Analysis of Parliamentary Phenomena 153 3.24 Exercises 156 3.25 The Security Council 156 3.26 Exercises 158 3.27 Cost Games 159 3.28 Exercises 162 3.29 Review Exercises 164 4 Analysis of a Bankruptcy Problem from the Talmud 166 4.1 Introduction 166 4.2 The Contested Garment 168 4.3 Exercises 171 4.4 A Physical Interpretation of the Contested-Garment Principle 172 4.5 Exercises 176 4.6 A Bankruptcy Problem from the Talmud 177 4.7 Exercises 180 4.8 Existence and Uniqueness 182 4.9 Divisions Consistent with the Contested-Garment Principle 186 4.10 Exercises 191 4.11 Consistency 192 4.12 Exercises 194 4.13 Rif’s Law of Division 194 4.14 Exercises 196 4.15 Proportional Division 196 x contents 4.16 O’Neill’s Law of Division 197 4.17 Exercises 200 4.18 Discussion 201 4.19 Review Exercises 203 A Answers to the Exercises 205 A.1 Chapter 1 205 A.2 Chapter 2 213 A.3 Chapter 3 220 A.4 Chapter 4 229 Bibliography 233 Index 235 |
回复此楼» 本帖附件资源列表
-
欢迎监督和反馈：小木虫仅提供交流平台，不对该内容负责。
本内容由用户自主发布，如果其内容涉及到知识产权问题，其责任在于用户本人，如对版权有异议，请联系邮箱：xiaomuchong@tal.com - 附件 1 : Cambridge_University_Press_-_Insights_Into_Game_Theory_(Jan_2009).pdf
2016-09-14 19:23:57, 692.32 K
» 收录本帖的淘帖专辑推荐
 精华网帖收集 | 数学分析 | 自然科学 |
» 猜你喜欢
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有6人回复
-
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有6人回复
-
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有7人回复
-
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有7人回复
-
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有7人回复
-
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有8人回复
-
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有8人回复
-
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有8人回复
-
售SCI一区文章，我:8 O5 51O 54,科目齐全
已经有8人回复
-
博士延得我，科研能力直往上蹿
已经有8人回复
» 本主题相关价值贴推荐，对您同样有帮助:
简单回复
2016-09-14 19:28
回复
五星好评 顶一下，感谢分享！
tryhard3楼
2016-09-14 23:07
回复
五星好评 顶一下，感谢分享！
ha16684楼
2016-09-15 23:19
回复
五星好评 顶一下，感谢分享！
2016-09-16 07:03
回复
三星好评 感谢分享
2016-09-16 07:07
回复
顶一下，感谢分享！
2016-09-16 12:27
回复
五星好评 顶一下，感谢分享！
2016-09-16 21:17
回复
五星好评 顶一下，感谢分享！
daduan9楼
2016-09-17 00:37
回复
五星好评 顶一下，感谢分享！
wzwanglab10楼
2016-09-17 06:31
回复
五星好评 顶一下，感谢分享！
drnie11楼
2016-09-17 06:53
回复
五星好评 顶一下，感谢分享！
bemyself200712楼
2016-09-17 08:03
回复
五星好评 顶一下，感谢分享！
samp13楼
2016-09-17 08:27
回复
五星好评 顶一下，感谢分享！
kmjida14楼
2016-09-17 09:33
回复
五星好评 顶一下，感谢分享！
efoxxx15楼
2016-09-17 15:37
回复
五星好评 顶一下，感谢分享！
happyfishs16楼
2016-09-17 21:57
回复
五星好评 顶一下，感谢分享！
zhchzhsh207617楼
2016-09-17 22:46
回复
五星好评 
jtjia18楼
2016-09-18 08:01
回复
owenyx_198119楼
2016-09-18 11:58
回复
五星好评 顶一下，感谢分享！
daijzh20楼
2016-09-18 19:41
回复
五星好评 顶一下，感谢分享！
kmjida21楼
2016-09-20 08:39
回复
顶一下，感谢分享！
甲先生22楼
2016-09-26 20:16
回复
五星好评 顶一下，感谢分享！
wyf_199923楼
2016-09-30 11:34
回复
五星好评 顶一下，感谢分享！
雷神之锤11124楼
2016-09-30 16:34
回复
五星好评 顶一下，感谢分享！
王紫曦25楼
2017-08-07 18:02
回复
五星好评 顶一下，感谢分享！
zhengj198026楼
2018-04-20 09:39
回复
五星好评 顶一下，感谢分享！
10500070lin27楼
2018-04-23 21:00
回复
顶一下，感谢分享！
PHoward28楼
2018-07-06 19:34
回复
五星好评 顶一下，感谢分享！
10