| Issue |
ESAIM: COCV
Volume 17, Number 3, July-September 2011
|
|
|---|---|---|
| Page(s) | 749 - 760 | |
| DOI | https://doi.org/10.1051/cocv/2010023 | |
| Published online | 23 April 2010 | |
Stochastic differential games involving impulse controls*
School of Mathematics, Shandong University,
Jinan 250100, P.R. China. zhangfeng1104@gmail.com
Received:
22
May
2009
Revised:
5
August
2009
Revised:
28
October
2009
A zero-sum stochastic differential game problem on infinite horizon with continuous and impulse controls is studied. We obtain the existence of the value of the game and characterize it as the unique viscosity solution of the associated system of quasi-variational inequalities. We also obtain a verification theorem which provides an optimal strategy of the game.
Mathematics Subject Classification: 91A15 / 49N25 / 49L20
Key words: Stochastic differential game / impulse control / quasi-variational inequalities / viscosity solution
© EDP Sciences, SMAI, 2010
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