# Article

 Title: Repetitive play of a game against nature (English) Author: Jílovec, Stanislav Author: Šubert, Bruno Language: English Journal: Aplikace matematiky ISSN: 0373-6725 Volume: 12 Issue: 5 Year: 1967 Pages: 383-397 Summary lang: English Summary lang: Czech Summary lang: Russian . Category: math . Summary: In this paper general theorems for optimal strategic procedures in the repeated play of a game against nature are given. The game is supposed to be infinite from the right and the theorems include the solution of a sequential decision problem with infinite decision space. () MSC: 91A15 idZBL: Zbl 0253.90071 idMR: MR0272414 . Date available: 2008-05-20T17:40:00Z Last updated: 2015-08-21 Stable URL: http://hdl.handle.net/10338.dmlcz/103115 . Reference: [1] J. Hannan: Approximation to Bayes Risk in Repeated Play.Contributions to the Theory of Games 3 (1957), 97-139. Zbl 0078.32804, MR 0109094 Reference: [2] M. Loève: Probability Theory.3d ed., Van Nostrand, New York 1963. MR 0203748 Reference: [3] J. Van Ryzin: The Sequential Compound Decision Problem with $n \times m$ Finite Loss Matrix.Ann. Math. Statist. 37 (1966), 4, 954-975. MR 0198640 Reference: [4] E. Samuel: Asymptotic Solutions of the Sequential Compound Decision Problem.Ann. Math. Statist. 34 (1963), 1079-1094. Zbl 0202.49102, MR 0173340, 10.1214/aoms/1177704032 .

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