Zero-Sum Discounted Reward Criterion Games for Piecewise Deterministic Markov Processes

Autor(es)

Costa, O. L. V. ^[1] ; Dufour, F. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Engn Telecomunicacoes & Controle, Escola Politecn, BR-05508900 Sao Paulo - Brazil

^[2] INRIA Bordeaux Sud Ouest, Inst Polytech Bordeaux, Inst Math Bordeaux, 200 Ave Vieille Tour, F-33405 Talence - France

• Tipo de documento: Artigo Científico
• Fonte: APPLIED MATHEMATICS AND OPTIMIZATION; v. 78, n. 3, p. 587-611, DEC 2018.
• Citações Web of Science: 0

Resumo

This papers deals with the zero-sum game with a discounted reward criterion for piecewise deterministic Markov process (PDMPs) in general Borel spaces. The two players can act on the jump rate and transition measure of the process, with the decisions being taken just after a jump of the process. The goal of this paper is to derive conditions for the existence of min-max strategies for the infinite horizon total expected discounted reward function, which is composed of running and boundary parts. The basic idea is, by using the special features of the PDMPs, to re-write the problem via an embedded discrete-time Markov chain associated to the PDMP and re-formulate the problem as a discrete-stage zero sum game problem. (AU)

• Processo FAPESP: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Beneficiário: Julio Romano Meneghini
• Linha de fomento: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia
• Processo FAPESP: 13/50759-3 - Controle de sistemas dinâmicos sujeitos a saltos estocásticos
• Beneficiário: Eduardo Fontoura Costa
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 14/50851-0 - INCT 2014: Instituto Nacional de Ciência e Tecnologia para Sistemas Autônomos Cooperativos Aplicados em Segurança e Meio Ambiente
• Beneficiário: Marco Henrique Terra
• Linha de fomento: Auxílio à Pesquisa - Temático