文献类型：期刊文献

英文题名：Collective Sensitivity, Collective Accessibility, and Collective Kato's Chaos in Duopoly Games

作者：Wang, Hongqing[1];Lu, Tianxiu[2];Li, Risong[1];Chen, Yuanlin[2,3];Li, Yongjiang[1];Quan, Weizhen[4]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China;[2]Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China;[3]South Sichuan Appl Math Res Ctr, Zigong 643000, Peoples R China;[4]Zhanjiang Presch Educ Coll, Dept Math, Zhanjiang 524037, Peoples R China

年份：2022

卷号：10

期号：22

外文期刊名：MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000887305200001)、、Scopus(收录号：2-s2.0-85142472199)、WOS

基金：This work was supported the Project of the Department of Science and Technology of Sichuan Province (No. 2021ZYD0005), Ministry of Education Science and Technology Development center (No. 2020QT13) and Characteristic innovation project of colleges and universities in Guangdong Province in 2020 (No. 2020KTSCX351).

语种：英文

外文关键词：sensitivity; accessibility; Kato's chaos; duopoly game

外文摘要：By using the uniform continuity of two onto maps, this paper further explores stronger forms of Kato's chaos, sensitivity, and accessibility of Cournot maps. In particular, the sensitivity, the collective sensitivity, the accessibility, and the collective accessibility of the compositions of two reaction functions are studied. It is observed that a Cournot onto map H on a product space is sensitive (collectively sensitive, collectively accessible, accessible, or collectively Kato chaotic) if and only if the restriction of the map H-2 to the MPE-set is sensitive as well. Several examples are given to show the necessity of the reaction functions being continuous onto maps.