Buscar
  • 24 / 05 / 2017
Cinvestav - Centro de Investigación y de Estudios Avanzados del I.P.N.

J. Pablo Maldonado López and M. Oliu-Barton (Vol. 18 No. 1 2014)

A strategy-based proof of the existence of the value in zero-sum differential games  

 

 
J. Pablo Maldonado López and M. Oliu-Barton

The value of a zero-sum differential games is known to exist, under Isaacs’ condition, and it is the unique viscosity solution of a Hamilton-Jacobi-Isaacs equation. This approach, in spite of being very effective, does not provide information about the strategies the players should use. In this note we provide a self-contained proof of the existence of the value based on the construction of ε-optimal strategies, which is inspired by the “extremal aiming” method from [5].


[Regresar / Back]

Cinvestav | Centro de Investigación y de Estudios Avanzados del I.P.N.
Av. Instituto Politécnico Nacional 2508, Col. San Pedro Zacatenco, C.P. 07360 México, D.F. Apartado postal: 14-740, 07000 México, D.F.
Teléfono: 5747 3800
www.cinvestav.mx | Privacy Statement | Terms Of Use | Copyright 2017 by DNN Corp

SEP - IPN - CONACYT - SIICYT - ANUIES