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张量空间上的仿射变分不等式
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作者 李夏 黄正海 《中国科学:数学》 CSCD 北大核心 2022年第3期355-368,共14页
本文考虑张量空间上的变分不等式并讨论一些基本性质.特别地,借助一类张量乘积,定义一类张量空间上的仿射变分不等式,讨论这类变分不等式解集的性质,包括解的存在唯一性和解集的有界性.最后考察一类寡头垄断市场博弈问题,将其建模为一... 本文考虑张量空间上的变分不等式并讨论一些基本性质.特别地,借助一类张量乘积,定义一类张量空间上的仿射变分不等式,讨论这类变分不等式解集的性质,包括解的存在唯一性和解集的有界性.最后考察一类寡头垄断市场博弈问题,将其建模为一个张量空间上的仿射变分不等式,为此类问题的进一步研究提供动力. 展开更多
关键词 仿射变分不等式 张量空间 张量积 寡头垄断市场博弈
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Caching resource sharing in radio access networks: a game theoretic approach 被引量:3
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作者 Jun-feng XIE Ren-chao XIE +3 位作者 Tao HUANG Jiang LIU F. Richard YU Yun-jie LIU 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2016年第12期1253-1265,共13页
Deployment of caching in wireless networks has been considered an effective method to cope with the challenge brought on by the explosive wireless traffic. Although some research has been conducted on caching in cellu... Deployment of caching in wireless networks has been considered an effective method to cope with the challenge brought on by the explosive wireless traffic. Although some research has been conducted on caching in cellular networks, most of the previous works have focused on performance optimization for content caching. To the best of our knowledge, the problem of caching resource sharing for multiple service provider servers (SPSs) has been largely ignored. In this paper, by assuming that the caching capability is deployed in the base station of a radio access network, we consider the problem of caching resource sharing for multiple SPSs competing for the caching space. We formulate this problem as an oligopoly market model and use a dynamic non-cooperative game to obtain the optimal amount of caching space needed by the SPSs. In the dynamic game, the SPSs gradually and iteratively adjust their strategies based on their previous strategies and the information given by the base station. Then through rigorous mathematical analysis, the Nash equilibrium and stability condition of the dynamic game are proven. Finally, simulation results are presented to show the performance of the proposed dynamic caching resource allocation scheme. 展开更多
关键词 Video caching Oligopoly market Game theory Nash equilibrium Stability analysis
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