Forward–Backward Stochastic Differential Games and Stochastic Control under Model Uncertainty
نویسندگان
چکیده
منابع مشابه
Forward-backward SDE games and stochastic control under model uncertainty
We study optimal stochastic control problems under model uncertainty. We rewrite such problems as (zero-sum) stochastic differential games of forward-backward stochastic differential equations. We prove general stochastic maximum principles for such games, both in the zero-sum case (finding conditions for saddle points) and for the non-zero sum games (finding conditions for Nash equilibria). We...
متن کاملRisk Sensitive Stochastic Control and Differential Games
We give a concise introduction to risk sensitive control of Markov diffusion processes and related two-controller, zero-sum differential games. The method of dynamic programming for the risk sensitive control problem leads to a nonlinear partial differential equation of HamiltonJacobi-Bellman type. In the totally risk sensitive limit, this becomes the Isaacs equation for the differential game. ...
متن کاملMinimax Nonlinear Control under Stochastic Uncertainty Constraints
We consider in this paper a class of stochastic nonlinear systems in strict feedback form, where in addition to the standard Wiener process there is a norm-bounded unknown disturbance driving the system. The bound on the disturbance is in the form of an upper bound on its power in terms of the power of the output. Within this structure, we seek a minimax state-feedback controller, namely one th...
متن کاملStochastic Differential Portfolio Games
We study stochastic dynamic investment games in continuous time between two investors (players) who have available two different, but possibly correlated, investment opportunities. There is a single payoff function which depends on both investors’ wealth processes. One player chooses a dynamic portfolio strategy in order to maximize this expected payoff while his opponent is simultaneously choo...
متن کاملA stochastic model for operating room planning under uncertainty and equipment capacity constraints
In the present economic context, the operating theater is considered as a critical activity in health care management. This paper describes a model for operating room (OR) planning under constraint of a unique equipment. At first level we schedule elective surgeries under the uncertainty of using a unique equipment. At the second level we consider emergency surgeries, and at the third le...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2012
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-012-0166-7