Hamilton-Jacobi-Bellman Equations for Non-cooperative Differential Games with Continuous Updating

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

1 Цитирования (Scopus)

Аннотация

This paper is devoted to a new class of differential games with continuous updating. It is assumed that at each time instant, players have or use information about the game defined on a closed time interval. However, as the time evolves, information about the game updates, namely, there is a continuous shift of time interval, which determines the information available to players. Information about the game is the information about motion equations and payoff functions of players. For this class of games, the direct application of classical approaches to the determination of optimality principles such as Nash equilibrium is not possible. The subject of the current paper is the construction of solution concept similar to Nash equilibrium for this class of differential games and corresponding optimality conditions, in particular, modernized Hamilton-Jacobi-Bellman equations.

Язык оригиналаанглийский
Название основной публикацииMathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Revised Selected Papers
РедакторыIgor Bykadorov, Vitaly Strusevich, Tatiana Tchemisova
ИздательSpringer
Страницы178-191
Число страниц14
ISBN (печатное издание)9783030333935
DOI
СостояниеОпубликовано - 1 янв 2019
Событие18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019 - Ekaterinburg, Российская Федерация
Продолжительность: 8 июл 201912 июл 2019

Серия публикаций

НазваниеCommunications in Computer and Information Science
Том1090 CCIS
ISSN (печатное издание)1865-0929
ISSN (электронное издание)1865-0937

Конференция

Конференция18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019
СтранаРоссийская Федерация
ГородEkaterinburg
Период8/07/1912/07/19

    Fingerprint

Предметные области Scopus

  • Компьютерные науки (все)
  • Математика (все)

Цитировать

Petrosian, O., & Tur, A. (2019). Hamilton-Jacobi-Bellman Equations for Non-cooperative Differential Games with Continuous Updating. В I. Bykadorov, V. Strusevich, & T. Tchemisova (Ред.), Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Revised Selected Papers (стр. 178-191). (Communications in Computer and Information Science; Том 1090 CCIS). Springer. https://doi.org/10.1007/978-3-030-33394-2_14