Optimal Positional Strategies in Differential Games for Neutral-Type Systems

Anton Plaksin ()
Additional contact information
Anton Plaksin: IMM UB RAS

Dynamic Games and Applications, 2025, vol. 15, issue 1, No 9, 216-237

Abstract: Abstract The paper deals with a zero-sum differential game for a dynamical system described by neutral-type functional-differential equations in Hale’s form with initial conditions determined by piecewise continuous functions. It is proved that the differential game has a value and optimal positional (feedback) players’ strategies. If the value functional satisfies certain smoothness conditions, the optimal strategies are constructed based on its gradient. In the general case, such strategies are described using quasi-gradient constructions. The fact that the quasi-gradients under consideration require looking for extremum points only on a finite-dimensional set is the crucial contribution of this paper.

Keywords: Differential games; Optimal strategies; Neutral-type equations; 34K40; 49L20; 49N35; 49N70 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13235-024-00565-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:dyngam:v:15:y:2025:i:1:d:10.1007_s13235-024-00565-8

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/13235

DOI: 10.1007/s13235-024-00565-8

Access Statistics for this article

Dynamic Games and Applications is currently edited by Georges Zaccour

More articles in Dynamic Games and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().