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題名 Explicit optimal strategy for the Vardi casino with limited playing time
作者 姚怡慶
Yao, Yi-Ching
關鍵詞 Gambling theory;bold play;primitive casino;finite horizon
日期 2007-03
上傳時間 1-Jun-2009 21:30:08 (UTC+8)
摘要 The Vardi casino with parameter 0 < c < 1 consists of infinitely many tables indexed by their odds, each of which returns the same (negative) expected winnings -c per dollar. A gambler seeks to maximize the probability of reaching a fixed fortune by gambling repeatedly with suitably chosen stakes and tables (odds). The optimal strategy is derived explicitly subject to the constraint that the gambler is allowed to play only a given finite number of times. Some properties of the optimal strategy are also discussed.
關聯 Journal of Applied Probability,44,831-837
資料類型 article
DOI http://dx.doi.org/10.1239/jap/1189717548
dc.creator (作者) 姚怡慶zh_TW
dc.creator (作者) Yao, Yi-Ching-
dc.date (日期) 2007-03-
dc.date.accessioned 1-Jun-2009 21:30:08 (UTC+8)-
dc.date.available 1-Jun-2009 21:30:08 (UTC+8)-
dc.date.issued (上傳時間) 1-Jun-2009 21:30:08 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/29044-
dc.description.abstract (摘要) The Vardi casino with parameter 0 < c < 1 consists of infinitely many tables indexed by their odds, each of which returns the same (negative) expected winnings -c per dollar. A gambler seeks to maximize the probability of reaching a fixed fortune by gambling repeatedly with suitably chosen stakes and tables (odds). The optimal strategy is derived explicitly subject to the constraint that the gambler is allowed to play only a given finite number of times. Some properties of the optimal strategy are also discussed.-
dc.format.extent 766217 bytes-
dc.format.mimetype application/pdf-
dc.language enen
dc.language.iso en_US-
dc.relation (關聯) Journal of Applied Probability,44,831-837en
dc.subject (關鍵詞) Gambling theory;bold play;primitive casino;finite horizon-
dc.title (題名) Explicit optimal strategy for the Vardi casino with limited playing timeen
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1239/jap/1189717548en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1239/jap/1189717548en_US