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math.OC2022

Discrete-time Zero-Sum Games for Markov chains with risk-sensitive average cost criterion

Mrinal K. Ghosh, Subrata Golui, Chandan Pal +1

We study zero-sum stochastic games for controlled discrete time Markov chains with risk-sensitive average cost criterion with countable state space and Borel action spaces. The pay…

math.OC2021

Zero-Sum Games for Continuous-time Markov Decision Processes with Risk-Sensitive Average Cost Criterion

Mrinal K. Ghosh, Subrata Golui, Chandan Pal +1

We consider zero-sum stochastic games for continuous time Markov decision processes with risk-sensitive average cost criterion. Here the transition and cost rates may be unbounded.…

math.OC2021

Risk-sensitive discounted cost criterion for Continuous-time Markov decision processes on a general state space

Chandan Pal, Subrata Golui

In this paper, we consider risk-sensitive discounted control problem for continuous-time jump Markov processes taking values in general state space. The transition rates of underly…

math.OC2020

Continuous-time Zero-Sum Stochastic Game with Stopping and Control

Chandan Pal, Subhamay Saha

We consider a zero-sum stochastic game for continuous-time Markov chain with countable state space and unbounded transition and pay-off rates. The additional feature of the game is…

math.OC2016

Nonzero-sum risk-sensitive stochastic differential games

Mrinal K. Ghosh, K. Suresh Kumar, Chandan Pal

We study two person nonzero-sum stochastic differential games with risk-sensitive discounted and ergodic cost criteria. Under certain conditions we establish a Nash equilibrium in…

math.OC2016

Nonzero-Sum Risk Sensitive Stochastic Games for Continuous Time Markov Chains

Mrinal K. Ghosh, K. Suresh Kumar, Chandan Pal

We study nonzero-sum stochastic games for continuous time Markov chains on a denumerable state space with risk sensitive discounted and ergodic cost criteria. For the discounted co…