Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Hamilton-Jacobi-Bellman Equations for Non-cooperative Differential Games with Continuous Updating. / Petrosian, Ovanes; Tur, Anna.
Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Revised Selected Papers. ред. / Igor Bykadorov; Vitaly Strusevich; Tatiana Tchemisova. Springer Nature, 2019. стр. 178-191 (Communications in Computer and Information Science; Том 1090 CCIS).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Hamilton-Jacobi-Bellman Equations for Non-cooperative Differential Games with Continuous Updating
AU - Petrosian, Ovanes
AU - Tur, Anna
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
KW - Differential games with continuous updating
KW - Hamilton-Jacobi-Bellman equation
KW - Nash equilibrium
KW - Nash equilibrium with continuous updating
UR - http://www.scopus.com/inward/record.url?scp=85076162070&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-33394-2_14
DO - 10.1007/978-3-030-33394-2_14
M3 - Conference contribution
AN - SCOPUS:85076162070
SN - 9783030333935
T3 - Communications in Computer and Information Science
SP - 178
EP - 191
BT - Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Revised Selected Papers
A2 - Bykadorov, Igor
A2 - Strusevich, Vitaly
A2 - Tchemisova, Tatiana
PB - Springer Nature
T2 - 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019
Y2 - 8 July 2019 through 12 July 2019
ER -
ID: 51526834