activity
20132026
most citedA unified approach to time consistency of dynamic risk measures and dynamic performance measures in discrete time

15 citations · 54 across the 23 of their papers we have counts for

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7 papers · 1 filter

math.OC2026

Blackwell optimality in risk-sensitive stochastic control

Marcin Pitera, Łukasz Stettner

In this paper, we consider a discrete-time Markov Decision Process (MDP) on a finite state-action space with a long-run risk-sensitive criterion used as the objective function. We…

math.OC2026

Policy stability and ultimate stationarity in discounted risk-sensitive stochastic control

Nicole Bäuerle, Marcin Pitera, Łukasz Stettner

We study discrete-time Markov Decision Processes (MDPs) on finite state-action spaces and analyze the stability of optimal policies and value functions in the long-run discounted r…

math.OC2024★ 3 cited

Blackwell optimality and policy stability for long-run risk sensitive stochastic control

Nicole Bäuerle, Marcin Pitera, Łukasz Stettner

This paper analyzes the stability of optimal policies in the long-run stochastic control framework with an averaged risk-sensitive criterion for discrete-time MDPs on finite state-…

math.OC2019★ 12 cited

Risk sensitive optimal stopping

Damian Jelito, Marcin Pitera, Łukasz Stettner

In this paper we consider discrete and continuous time risk sensitive optimal stopping problem. Using suitable properties of the underlying Feller-Markov process we prove continuit…

math.OC2019★ 8 cited

Long-run risk sensitive impulse control

Damian Jelito, Marcin Pitera, Łukasz Stettner

In this paper we consider long-run risk sensitive average cost impulse control applied to a continuous-time Feller-Markov process. Using the probabilistic approach, we show how to…

math.OC2019

Long-run risk sensitive dyadic impulse control

Marcin Pitera, Łukasz Stettner

In this paper long-run risk sensitive optimisation problem is studied with dyadic impulse control applied to continuous-time Feller-Markov process. In contrast to the existing lite…

math.OC2015

Long run risk sensitive portfolio with general factors

Marcin Pitera, Łukasz Stettner

In the paper portfolio optimization over long run risk sensitive criterion is considered. It is assumed that economic factors which stimulate asset prices are ergodic but non neces…