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Existence of value functions of differential games with incomplete information in partially order spaces.
- Source :
-
Optimization . May2023, Vol. 72 Issue 5, p1285-1307. 23p. - Publication Year :
- 2023
-
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]
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 72
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 163285042
- Full Text :
- https://doi.org/10.1080/02331934.2021.2011867