KMS Of Academy of mathematics and systems sciences, CAS
Shapley's conjecture on the cores of abstract market games | |
Cao, Zhigang1; Qin, Chengzhong2; Yang, Xiaoguang3 | |
2018-03-01 | |
发表期刊 | GAMES AND ECONOMIC BEHAVIOR |
ISSN | 0899-8256 |
卷号 | 108页码:466-477 |
摘要 | Shapley (1955) introduced the model of an abstract market game as a generalization of the assignment game model, among several other models. He conjectured that abstract market games possess non-empty cores. We analyze properties of abstract market games and provide a proof of this conjecture for cases with four or fewer players. We show by example that, in general, the structure of an abstract market game is not strong enough to guarantee the nonemptiness of the core. We establish supplemental conditions for the conjecture to hold. Our supplemental conditions are satisfied by the assignment games and abstract market games with one side consisting of a single player as with package auction games in Ausubei and Milgrom (2002). (C) 2017 Elsevier Inc. All rights reserved. |
关键词 | Assignment games Complements Substitutes Core Convex games |
DOI | 10.1016/j.geb.2017.08.006 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China (NSFC)[11471326] |
WOS研究方向 | Business & Economics |
WOS类目 | Economics |
WOS记录号 | WOS:000439254400036 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/33424 |
专题 | 系统科学研究所 |
通讯作者 | Yang, Xiaoguang |
作者单位 | 1.Beijing Jiaotong Univ, Sch Econ & Management, Dept Econ, Beijing 100044, Peoples R China 2.Univ Calif Santa Barbara, Dept Econ, Santa Barbara, CA 93106 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, MADIS, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Cao, Zhigang,Qin, Chengzhong,Yang, Xiaoguang. Shapley's conjecture on the cores of abstract market games[J]. GAMES AND ECONOMIC BEHAVIOR,2018,108:466-477. |
APA | Cao, Zhigang,Qin, Chengzhong,&Yang, Xiaoguang.(2018).Shapley's conjecture on the cores of abstract market games.GAMES AND ECONOMIC BEHAVIOR,108,466-477. |
MLA | Cao, Zhigang,et al."Shapley's conjecture on the cores of abstract market games".GAMES AND ECONOMIC BEHAVIOR 108(2018):466-477. |
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