L\acute{e}vy-Prohorov Metric on the Measure Space

QU Li-min, ZHU Ji-yun

doi:10.13371/j.cnki.chin.q.j.m.2017.01.005

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 1: 42 - 48

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.01.005

L\acute{e}vy-Prohorov Metric on the Measure Space

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Department of Basic Courses,Qingdao Binhai University

QU Li-min(1979-), female(Manzu), native of Xinbin, Liaoning, a lecturer of Qingdao Binhai University, engages in nonlinear analysis; ZHU Ji-yun(1980-), female, native of Jiaozhou, Shandong, a lecturer of Qingdao Binhai University, engages in image processing and reconstruction.

Received date: 2015-06-20

Online published: 2020-10-26

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Abstract

Under the premise of infinitely many pure strategies, by defining the new LP* metric, striking an equivalence of topology and weak* topology, we prove that the existence of the essential component.

Key words： L\acute{e}vy-Prohorov metric; the essential component; metric; Nash equilibrium

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QU Li-min, ZHU Ji-yun . L\acute{e}vy-Prohorov Metric on the Measure Space[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(1) : 42 -48 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.01.005

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