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On the uniqueness and stability of equilibrium in quality-speed competition with boundedly-rational customers: The case with general reward function and multiple servers
Li, Xin; Li, Qingying; Guo, Pengfei; Lian, Zhaotong
2017-11
Source PublicationINTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS
ISSN0925-5273
Volume193Pages:726-736
AbstractIn this paper, we extend the service-speed competition game with boundedly rational customers considered in Li et al. (2016) to the case with general reward function and multiple servers. The N servers make strategic decisions on their service rates sequentially and repeatedly. Since the competing servers' payoff functions can only be expressed by an implicit-function set, we propose a matrix method to derive the uniqueness of the equilibrium service rates, and we establish the stability of the equilibrium through a tatonnement scheme. By conducting a sensitivity analysis regarding the number of competing servers and the demand density, we find that the server competition benefits the customers by improving their utilities as well as getting more customers to be served. Furthermore, for a fixed demand density, the equilibrium service rate increases in the market size and converges to a certain level when the market size is large enough.
KeywordCustomer-sensitive service Bounded rationality Strategic queueing Matrix
DOI10.1016/j.ijpe.2017.08.026
URLView the original
Indexed BySCI ; SSCI
Language英语
WOS Research AreaEngineering ; Operations Research & Management Science
WOS SubjectEngineering, Industrial ; Engineering, Manufacturing ; Operations Research & Management Science
WOS IDWOS:000414814700060
PublisherELSEVIER SCIENCE BV
The Source to ArticleWOS
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被引频次[WOS]:2   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题University of Macau
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GB/T 7714
Li, Xin,Li, Qingying,Guo, Pengfei,et al. On the uniqueness and stability of equilibrium in quality-speed competition with boundedly-rational customers: The case with general reward function and multiple servers[J]. INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS,2017,193:726-736.
APA Li, Xin,Li, Qingying,Guo, Pengfei,&Lian, Zhaotong.(2017).On the uniqueness and stability of equilibrium in quality-speed competition with boundedly-rational customers: The case with general reward function and multiple servers.INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS,193,726-736.
MLA Li, Xin,et al."On the uniqueness and stability of equilibrium in quality-speed competition with boundedly-rational customers: The case with general reward function and multiple servers".INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS 193(2017):726-736.
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