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

[21] Differential games with fixed terminal time and estimation of the instability degree of sets in these games
V. N. Ushakov
P. D. Lebedev
A. R. Matviychuk
A. G. Malev
Proceedings of the Steklov Institute of Mathematics, 2012, 277 : 266 - 277
[22] Weak equilibria in differential games with partially intersecting interests of participants
E. R. Smol’yakov
Differential Equations, 2011, 47 : 1035 - 1045
[23] Weak Equilibria in Differential Games with Partially Intersecting Interests of Participants
Smol'yakov, E. R.
DIFFERENTIAL EQUATIONS, 2011, 47 (07) : 1035 - 1045
[24] Robust registration of partially overlapping point sets via genetic algorithm with growth operator
Zhu, Jihua
Meng, Deyu
Li, Zhongyu
Du, Shaoyi
Yuan, Zejian
IET IMAGE PROCESSING, 2014, 8 (10) : 582 - 590
[25] About one extremal problem for open sets and partially non-overlapping domains
Targonskii A.L.
Targonskaya I.I.
Vaschenko K.
Journal of Mathematical Sciences, 2020, 244 (1) : 56 - 64
[26] A METHOD OF H-CONVEX SETS IN DIFFERENTIAL-GAMES
OSTAPENKO, VV
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1984, (12): : 62 - 64
[27] One-shot computation of reachable sets for differential games
Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, United States
不详
HSCC - Proc. Int. Conf. Hybrid Syst.: Comput. Control, Part CPSWeek, 1600, (183-192):
[28] Nonlinear Images of Sets. II: Applications to Differential Games
Ivanov, Grigorii E.
JOURNAL OF CONVEX ANALYSIS, 2020, 27 (04) : 1123 - 1136
[29] Solving of Partial Differential Equations by Numerical Manifold Method with Partially Overlapping Covers
Gong Yaqi
Chen Qin
Qi Yongfeng
Progress in Industrial and Civil Engineering III, Pt 1, 2014, 638-640 : 1737 - 1740
[30] A method of partially overlapping point clouds registration based on differential evolution algorithm
Zhang, Xuetao
Yang, Ben
Li, Yunhao
Zuo, Changle
Wang, Xuewei
Zhang, Wanxu
PLOS ONE, 2018, 13 (12):

← 1 2 3 4 5 →