{"title":"马尔可夫决策过程中一类新的递归实用程序","authors":"Hubert Asienkiewicz, A. Jaśkiewicz","doi":"10.4064/AM2317-1-2017","DOIUrl":null,"url":null,"abstract":". This paper deals with Markov decision processes on a general state space under standard compactness-continuity assumptions. The pur-pose is to obtain a new class of so-called recursive utilities with the aid of the entropic risk measure. Within this framework we show that there exists a stationary policy for a discounted payoff problem in the infinite time horizon. Our result is illustrated by examples.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"9 4 1","pages":"149-161"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"A note on a new class of recursive utilities in Markov decision processes\",\"authors\":\"Hubert Asienkiewicz, A. Jaśkiewicz\",\"doi\":\"10.4064/AM2317-1-2017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This paper deals with Markov decision processes on a general state space under standard compactness-continuity assumptions. The pur-pose is to obtain a new class of so-called recursive utilities with the aid of the entropic risk measure. Within this framework we show that there exists a stationary policy for a discounted payoff problem in the infinite time horizon. Our result is illustrated by examples.\",\"PeriodicalId\":52313,\"journal\":{\"name\":\"Applicationes Mathematicae\",\"volume\":\"9 4 1\",\"pages\":\"149-161\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicationes Mathematicae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/AM2317-1-2017\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicationes Mathematicae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/AM2317-1-2017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
A note on a new class of recursive utilities in Markov decision processes
. This paper deals with Markov decision processes on a general state space under standard compactness-continuity assumptions. The pur-pose is to obtain a new class of so-called recursive utilities with the aid of the entropic risk measure. Within this framework we show that there exists a stationary policy for a discounted payoff problem in the infinite time horizon. Our result is illustrated by examples.