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math.PR2023★ 1 cited
Refraction strategies in stochastic control: optimality for a general Lévy process model
Kei Noba, José Luis Pérez, Kazutoshi Yamazaki
We revisit an absolutely-continuous version of the stochastic control problem driven by a Lévy process. A strategy must be absolutely continuous with respect to the Lebesgue measur…
math.PR2023
Lévy bandits under Poissonian decision times
José-Luis Pérez, Kazutoshi Yamazaki
We consider a version of the continuous-time multi-armed bandit problem where decision opportunities arrive at Poisson arrival times, and study its Gittins index policy. When drive…