The stability of coalitional structure in differential linear-quadratic game of four persons

V. I. Zhukovskii, S. P. Samsonov, V. E. Romanova

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Department of Optimal Control, Leninskiye Gory, GSP-1, Moscow, 119991, Russia

Abstract: In article coefficient criteria of the stability of coalitional structure in differential linear-quadratic positional game of 4 persons are established. Following the approach adopted in the article, it is possible to obtain coefficient criteria of the stability of coalitional structures both in games with a large number of players and for other coalitional structures.

Keywords: coalitional games, threats and counterthreats, Pareto maximum, stability of coalitional structure.

UDC: 519.977

MSC: 91A06, 91B50

Language: English

DOI: 10.37279/1729-3901-2020-19-3-15-18