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Teoriya Veroyatnostei i ee Primeneniya, 2017, Volume 62, Issue 2, Pages 405–414
DOI: https://doi.org/10.4213/tvp5113 (Mi tvp5113) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Nowak's theorem on probability measures induced by strategies revisited

A. Kurushimaa, A. Piunovskiyb, Y. Zhangb

a Department of Economics, Faculty of Economics, Sophia University, Tokyo, Japan
b Department of Mathematical Sciences, University of Liverpool, Liverpool, U.K.
Full-text PDF (325 kB) Citations (1)
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DOI: https://doi.org/10.4213/tvp5113
Abstract: In this paper, we present a new monotone approximation of a given real-valued Carathéodory function on the product ${X}\times{A}$ of Borel spaces, where $A$ is also compact. We demonstrate its application by providing a self-contained and elementary proof of a result of A. Nowak in discrete-time Markov decision processes.
Keywords: Carathéodory function, Markov decision processes, monotone approximation.
Funding agency Grant number
Royal Society IE160503
This work was partially supported by a grant from the Royal Society (IE160503).
Received: 06.12.2016
English version:
Theory of Probability and its Applications, 2018, Volume 62, Issue 2, Pages 328–334
DOI: https://doi.org/10.1137/S0040585X97T988630
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Kurushima, A. Piunovskiy, Y. Zhang, “Nowak's theorem on probability measures induced by strategies revisited”, Teor. Veroyatnost. i Primenen., 62:2 (2017), 405–414; Theory Probab. Appl., 62:2 (2018), 328–334
Citation in format AMSBIB
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\jour Theory Probab. Appl.
\yr 2018
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\issue 2
\pages 328--334
\crossref{https://doi.org/10.1137/S0040585X97T988630}
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  • https://www.mathnet.ru/eng/tvp/v62/i2/p405
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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