Differential Games on Partially Overlapping Sets

被引：1

作者：

Smol'yakov, E. R. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

Cooperative Game; Differential Game; Fair Share; Static Game; Game Problem;

D O I：

10.1134/S001226611112010X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We suggest four new notions of optimality (equilibrium) and use them to construct a theory providing the existence and (almost always) the uniqueness of solutions of game problems (both static problems and problems described by differential equations) with partially overlapping game sets of the players; such problems, which are used when modeling conflict problems with incidental interests (or incidental profits) of the players, have not been studied in the classical theory.

引用

页码：1817 / 1827

页数：11

共 50 条

[31] A Scheme for Calculating Solvability Sets "Up to Moment" in Linear Differential Games
Kamneva, Liudmila
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2023, 29 (03) : 989 - 1018
[32] Level sets of the value function in linear differential games with elliptical vectograms
Kumkov, SS
Patsko, VS
Shinar, J
CONTROL APPLICATIONS OF OPTIMIZATION 2000, VOLS 1 AND 2, 2000, : 579 - 584
[33] A method for the approximate computation of positional absorption sets in games of differential approach
Babalyev, TK
Khripunov, AP
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1995, 35 (11) : 1409 - 1416
[34] Phenomenon of Narrow Throats of Level Sets of Value Function in Differential Games
Kumkov, Sergey S.
Patsko, Valerii S.
CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL VII, 2014, 7 : 159 - 180
[35] STABILITY OF TERMINAL SETS AND OPTIMIZATION OF PURSUIT TIME IN DIFFERENTIAL-GAMES
POLOVINKIN, ES
DIFFERENTIAL EQUATIONS, 1984, 20 (03) : 330 - 341
[36] An Addition to the Definition of a Stable Bridge and an Approximating System of Sets in Differential Games
V. N. Ushakov
V. I. Ukhobotov
A. E. Lipin
Proceedings of the Steklov Institute of Mathematics, 2019, 304 : 268 - 280
[37] Level sets of value function and singular surfaces in linear differential games
Kumkov, SS
Patsko, VS
NONSMOOTH AND DISCONTINUOUS PROBLEMS OF CONTROL AND OPTIMIZATION (NDPCO'98), 1999, : 143 - 148
[38] A Scheme for Calculating Solvability Sets “Up to Moment” in Linear Differential Games
Liudmila Kamneva
Journal of Dynamical and Control Systems, 2023, 29 : 989 - 1018
[39] An Addition to the Definition of a Stable Bridge and an Approximating System of Sets in Differential Games
Ushakov, V. N.
Ukhobotov, V. I.
Lipin, A. E.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2019, 304 (01) : 268 - 280
[40] Cooperative Games with Overlapping Coalitions
Chalkiadakis, Georgios
Elkind, Edith
Markakis, Evangelos
Polukarov, Maria
Jennings, Nicholas R.
JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH, 2010, 39 : 179 - 216

← 1 2 3 4 5 →