Controlled Markov chains with risk-sensitive criteria: Average cost, optimality equations, and optimal solutions

JOURNAL ARTICLE published April 1999 in Mathematical Methods of Operations Research

Authors: Rolando Cavazos-Cadena | Emmanuel Fernández-Gaucherand

Solutions of the average cost optimality equation for finite Markov decision chains: risk-sensitive and risk-neutral criteria

JOURNAL ARTICLE published December 2009 in Mathematical Methods of Operations Research

Authors: Rolando Cavazos-Cadena

Optimality equations and inequalities in a class of risk-sensitive average cost Markov decision chains

JOURNAL ARTICLE published February 2010 in Mathematical Methods of Operations Research

Authors: Rolando Cavazos-Cadena

Denumerable controlled Markov chains with strong average optimality criterion: Bounded & unbounded costs

JOURNAL ARTICLE published October 1996 in Mathematical Methods of Operations Research

Authors: Rolando Cavazos-Cadena | Emmanuel Fern�ndez-Gaucherand

Discounted approximations in risk-sensitive average Markov cost chains with finite state space

JOURNAL ARTICLE published April 2020 in Mathematical Methods of Operations Research

Authors: Rubén Blancas-Rivera | Rolando Cavazos-Cadena | Hugo Cruz-Suárez

Continuity of the optimal average cost in Markov decision chains with small risk-sensitivity

JOURNAL ARTICLE published June 2015 in Mathematical Methods of Operations Research

Authors: Selene Chávez-Rodríguez | Rolando Cavazos-Cadena | Hugo Cruz-Suárez

Denumerable controlled Markov chains with average reward criterion: Sample path optimality

JOURNAL ARTICLE published February 1995 in ZOR Zeitschrift f�r Operations Research Mathematical Methods of Operations Research

Authors: Rolando Cavazos-Cadena | Emmanuel Fern�ndez-Gaucherand

Contractive approximations in average Markov decision chains driven by a risk-seeking controller

JOURNAL ARTICLE published August 2023 in Mathematical Methods of Operations Research

Authors: Gustavo Portillo-Ramírez | Rolando Cavazos-Cadena | Hugo Cruz-Suárez

Solution to the risk-sensitive average optimality equation in communicating Markov decision chains with finite state space: An alternative approach

JOURNAL ARTICLE published 1 January 2003 in Mathematical Methods of Operations Research (ZOR)

Authors: Rolando Cavazos-Cadena | Daniel Hernández-Hernández

Value iteration and approximately optimal stationary policies in finite-state average Markov decision chains

JOURNAL ARTICLE published 1 November 2002 in Mathematical Methods of Operations Research (ZOR)

Authors: Rolando Cavazos-Cadena | Rolando Cavazos-Cadena

A characterization of exponential functionals in finite Markov chains

JOURNAL ARTICLE published December 2004 in Mathematical Methods of Operational Research

Authors: Rolando Cavazos–Cadena | Daniel Hernández–Hernández

Solution to the risk-sensitive average cost optimality equation in a class of Markov decision processes with finite state space

JOURNAL ARTICLE published 1 May 2003 in Mathematical Methods of Operations Research (ZOR)

Authors: Rolando Cavazos-Cadena

The Laurent series, sensitive discount and Blackwell optimality for continuous-time controlled Markov chains

JOURNAL ARTICLE published March 2005 in Mathematical Methods of Operations Research

Authors: Tom�s Prieto-Rumeau | On�simo Hern�ndez-Lerma

Average optimality inequality for continuous-time Markov decision processes in Polish spaces

JOURNAL ARTICLE published 24 September 2007 in Mathematical Methods of Operations Research

Authors: Quanxin Zhu

Integro-differential optimality equations for the risk-sensitive control of piecewise deterministic Markov processes

JOURNAL ARTICLE published April 2021 in Mathematical Methods of Operations Research

Research funded by Fapesp (2014/50279-4,2014/50851-0) | Conselho Nacional de Desenvolvimento Científico e Tecnológico (304149/2019-5)

Authors: O. L. V. Costa | F. Dufour

Discounted approximations to the risk-sensitive average cost in finite Markov chains

JOURNAL ARTICLE published June 2017 in Journal of Mathematical Analysis and Applications

Authors: Rolando Cavazos-Cadena | Daniel Cruz-Suárez

Markov Decision Processes with Average-Value-at-Risk criteria

JOURNAL ARTICLE published December 2011 in Mathematical Methods of Operations Research

Authors: Nicole Bäuerle | Jonathan Ott

Variance minimization and the overtaking optimality approach to continuous-time controlled Markov chains

JOURNAL ARTICLE published December 2009 in Mathematical Methods of Operations Research

Authors: Tomás Prieto-Rumeau | Onésimo Hernández-Lerma

Markov risk mappings and risk-sensitive optimal prediction

JOURNAL ARTICLE published February 2023 in Mathematical Methods of Operations Research

Research funded by Engineering and Physical Sciences Research Council (EP/P002625/1) | Lloyd’s Register Foundation (G0095) | Engineering and Physical Sciences Research Council (EP/R014604/1,EP/N013492/1)

Authors: Tomasz Kosmala | Randall Martyr | John Moriarty

Markov decision processes with risk-sensitive criteria: an overview

JOURNAL ARTICLE published April 2024 in Mathematical Methods of Operations Research

Authors: Nicole Bäuerle | Anna Jaśkiewicz