On class of linear quadratic non-cooperative differential games with continuous updating

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

10 Цитирования (Scopus)

Аннотация

The subject of this paper is a linear quadratic case of a differential game model with continuous updating. This class of differential games is essentially new, there it is assumed that at each time instant, players have or use information about the game structure defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. Under the information about the game structure we understand information about motion equations and payoff functions of players. A linear quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. The notion of Nash equilibrium as an optimality principle is defined and the explicit form of Nash equilibrium for the linear quadratic case is presented. Also, the case of dynamic updating for the linear quadratic differential game is studied and uniform convergence of Nash equilibrium strategies and corresponding trajectory for a case of continuous updating and dynamic updating is demonstrated.

Язык оригиналаанглийский
Название основной публикацииMathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings
РедакторыMichael Khachay, Yury Kochetov, Panos Pardalos
ИздательSpringer Nature
Страницы635-650
Число страниц16
ISBN (печатное издание)9783030226282
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

НазваниеLecture Notes in Computer Science
ИздательSPRINGER INTERNATIONAL PUBLISHING AG
Том11548
ISSN (печатное издание)0302-9743

конференция

конференция18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019
Страна/TерриторияРоссийская Федерация
ГородEkaterinburg
Период8/07/1912/07/19

Предметные области Scopus

  • Теоретические компьютерные науки
  • Компьютерные науки (все)

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