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1. Existence of value functions of differential games with incomplete information in partially order spaces.

Author

Shao, Menghao, Hong, Shihuang, Cao, Xiaoyu, and Luo, Xinggang

Subjects
*DIFFERENTIAL games, *DISTRIBUTION (Probability theory), *ZERO sum games, *DYNAMICAL systems, *COST functions
Abstract

In this paper, we consider a two-person zero-sum differential game with incomplete information on the initial state, namely, the first player has a private information while the second player knows only a probability distribution on the initial state, and obtain the existence of its value functions. The main novelty lies in the method for which we apply a generalized weak contraction for dynamic systems and terminal cost functions instead of the Lipschitz contractive condition on a partially ordered metric space. [ABSTRACT FROM AUTHOR]

Published
2023
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