DocumentCode
3743648
Title
Some stochastic differential games with state dependent noise
Author
T. E. Duncan;B. Pasik-Duncan
Author_Institution
Department of Mathematics, University of Kansas, Lawrence, 66045, USA
fYear
2015
Firstpage
3773
Lastpage
3777
Abstract
Some two person noncooperative zero sum stochastic differential games are formulated and solved where the stochastic system is linear with stochastic coefficients and a linear state dependence for the Brownian motion noise and a quadratic payoff for the two players. A direct method is used to obtain the optimal strategies. An example is provided for such a stochastic system.
Keywords
"Games","Stochastic processes","Riccati equations","Mathematical model","Differential equations","Stochastic systems","Nash equilibrium"
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
Type
conf
DOI
10.1109/CDC.2015.7402805
Filename
7402805
Link To Document