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Shapley's conjecture on the cores of abstract market games
Cao, Zhigang1; Qin, Chengzhong2; Yang, Xiaoguang3
2018-03-01
Source PublicationGAMES AND ECONOMIC BEHAVIOR
ISSN0899-8256
Volume108Pages:466-477
AbstractShapley (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.
KeywordAssignment games Complements Substitutes Core Convex games
DOI10.1016/j.geb.2017.08.006
Language英语
Funding ProjectNational Natural Science Foundation of China (NSFC)[11471326]
WOS Research AreaBusiness & Economics
WOS SubjectEconomics
WOS IDWOS:000439254400036
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33424
Collection系统科学研究所
Corresponding AuthorYang, Xiaoguang
Affiliation1.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
Recommended Citation
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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