TY - JOUR

T1 - Solution of the differential game with hybrid structure

AU - Gromova, Ekaterina V.

AU - Magnitskaya, Natalya G.

N1 - Ekaterina V. Gromova, Natalya G. Magnitskaya, “Solution of the differential game with hybrid structure”, Contributions to Game Theory and Management, 12 (2019), 159–176

PY - 2019

Y1 - 2019

N2 - This paper focuses on two approaches for calculating optimal controls in cooperative differential games with hybrid structure: namely, the (joint) payoff function has a form of sum of integrals with different but adjoint time intervals. Our methods had been applied for the game-theoretical model with random time horizon T where T has a discrete structure. But the area of application can be more wide.

AB - This paper focuses on two approaches for calculating optimal controls in cooperative differential games with hybrid structure: namely, the (joint) payoff function has a form of sum of integrals with different but adjoint time intervals. Our methods had been applied for the game-theoretical model with random time horizon T where T has a discrete structure. But the area of application can be more wide.

KW - differential games

KW - random duration

KW - discontinuous cumulative distribution function

KW - discrete random variable

KW - optimal control

KW - Pontryagin's maximum principle

UR - http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=cgtm&paperid=342&option_lang=rus

UR - https://elibrary.ru/item.asp?id=39372959

M3 - Article

VL - 12

SP - 159

EP - 176

JO - Contributions to Game Theory and Management

JF - Contributions to Game Theory and Management

SN - 2310-2608

ER -