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The Existence of the pseu-Ky Fan’ Points and the Applications in Multiobjective Games

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Game Theory (EAGT 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1082))

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Abstract

In this paper, we first propose pseu-Ky Fan’ points for vector Ky Fan inequalities and prove the existence results under some relaxed assumptions by virtue of KKMF principle and Fan-Browder fixed point theorem. Mild continuity named pseudocontinuity is introduced for the existence results which is weaker than semicontinuity and generalizes the present results in the literature. As applications, we define pseu-weakly Pareto-Nash equillibrium for multiobjective games and obtain some existence theorems.

Supported by the National Natural Science Foundation of Guizhou Province (Grant No. QKH[2016]7425), and the Scientific Research Projects for the Introduced Talents of Guizhou University (Grant No. [2018]11).

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Authors and Affiliations

  1. College of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, China

    Xiaoling Qiu

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  1. Xiaoling Qiu
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Correspondence to Xiaoling Qiu .

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Editors and Affiliations

  1. School of Economics and Management, Fuzhou University, Fuzhou, Fujian, China

    Deng-Feng Li

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Qiu, X. (2019). The Existence of the pseu-Ky Fan’ Points and the Applications in Multiobjective Games. In: Li, DF. (eds) Game Theory. EAGT 2019. Communications in Computer and Information Science, vol 1082. Springer, Singapore. https://doi.org/10.1007/978-981-15-0657-4_7

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  • DOI: https://doi.org/10.1007/978-981-15-0657-4_7

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0656-7

  • Online ISBN: 978-981-15-0657-4

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