Lion and Man Game and Fixed Point-Free Maps
- 作者: Yufereva O.O.1
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隶属关系:
- Krasovskii Institute of Mathematics and Mechanics
- 期: 卷 79, 编号 7 (2018)
- 页面: 1361-1370
- 栏目: Mathematical Game Theory and Applications
- URL: https://journals.rcsi.science/0005-1179/article/view/150972
- DOI: https://doi.org/10.1134/S0005117918070135
- ID: 150972
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详细
This paper is dedicated to the pursuit-evasion game in which both players (Lion and Man) move in a metric space, have equal maximum speeds and complete information about the location of each other. We assume that evasion is successful if, for some initial positions of players, there exists a positive number p and an evader’s non-anticipative strategy guaranteeing that the distance between the players is always greater than p. We consider connection between successful evasion and such properties of the phase space as geodesics behavior and the existence of non-expanding fixed point-free self-maps.
作者简介
O. Yufereva
Krasovskii Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: yufereva12@gmail.com
俄罗斯联邦, Yekaterinburg
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