On the uniqueness and stability of equilibrium in quality-speed competition with boundedly-rational customers: The case with general reward function and multiple servers
On the uniqueness and stability of equilibrium in quality-speed competition with boundedly-rational customers: The case with general reward function and multiple servers
复制标题
有限理性顾客质量速度竞争均衡的唯一性和稳定性：一般奖励函数和多服务器情况
DOI：
10.1016/j.ijpe.2017.08.026
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发表时间：
2017
影响因子：
12
通讯作者：
Lian Zhaotong
中科院分区：
文献类型：
--
作者：
Li Xin;Li. Qingying;Guo Pengfei;Lian Zhaotong
在这篇文章中，我们推广了Li等人考虑的有界理性顾客的服务速度竞争博弈。(2016)对具有通用奖励功能和多台服务器的案件。网络服务器按顺序和重复地对其服务费率做出战略决策。由于竞争服务商的支付函数只能用一个隐函数集来表示，我们提出了一种矩阵方法来证明均衡服务率的唯一性，并通过一个求解方案证明了均衡的稳定性。通过对竞争服务器的数量和需求密度进行敏感性分析，我们发现，服务器竞争有利于提高客户的效用，并使更多的客户得到服务。此外，对于固定的需求密度，均衡服务率随市场规模的增大而增大，并在市场规模足够大时收敛到某一水平。
In 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. TheNservers 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 tatônnement 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.