Nash equilibrium in differential games and the construction of the programmed iteration method
Journal Article
·
· Sbornik. Mathematics
- Institute of Mathematics and Mechanics, Urals Branch of the Russian Academy of Sciences, Ekaterinburg (Russian Federation)
This work is devoted to the study of nonzero-sum differential games. The set of payoffs in a situation of Nash equilibrium is examined. It is shown that the set of payoffs in a situation of Nash equilibrium coincides with the set of values of consistent functions which are fixed points of the program absorption operator. A condition for functions to be consistent is given in terms of the weak invariance of the graph of the functions under a certain differential inclusion. Bibliography: 18 titles.
- OSTI ID:
- 21592543
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 5 Vol. 202; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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