On Time-Optimal Problems with Lifeline

On Time-Optimal Problems with Lifeline

This paper discusses time-optimal games with lifeline and corresponding boundary value problems for Hamilton–Jacobi equation as well. Existence of the value function for the time-optimal games with lifeline is proved. Existence of a minimax solution and its coincidence with the value function are sh...

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Veröffentlicht in:Dynamic games and applications 2019-09, Vol.9 (3), p.751-770
Hauptverfasser: Munts, Nataly V., Kumkov, Sergey S.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Communications Engineering
Computer Systems Organization and Communication Networks
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Game Theory
Games
Management Science
Mathematics
Mathematics and Statistics
Minimax technique
Networks
Operations Research
Social and Behav. Sciences
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Beschreibung
Zusammenfassung:This paper discusses time-optimal games with lifeline and corresponding boundary value problems for Hamilton–Jacobi equation as well. Existence of the value function for the time-optimal games with lifeline is proved. Existence of a minimax solution and its coincidence with the value function are shown.
ISSN:2153-0785
2153-0793
DOI:10.1007/s13235-018-00295-8