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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
ISSN0899-8256
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
DOI10.1016/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
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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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