| dc.creator (作者) | 姚怡慶 | zh_TW |
| dc.creator (作者) | Yao, Yi-Ching | - |
| dc.date (日期) | 2007-09 | - |
| dc.date.accessioned | 1-Jun-2009 21:34:34 (UTC+8) | - |
| dc.date.available | 1-Jun-2009 21:34:34 (UTC+8) | - |
| dc.date.issued (上傳時間) | 1-Jun-2009 21:34:34 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/29045 | - |
| dc.description.abstract (摘要) | In the classic Dubins-Savage subfair primitive casino gambling problem, the gambler can stake any amount in his possession, winning (1 - r)/r times the stake with probability w and losing the stake with probability 1 - w, 0 ≤ w ≤ r ≤ 1. The gambler seeks to maximize the probability of reaching a fixed fortune by gambling repeatedly with suitably chosen stakes. This problem has been extended in several directions to account for limited playing time or future discounting. We propose a unifying framework that covers these extensions, and prove that bold play is optimal provided that w ≤ ½ ≤ r. We also show that this condition is in fact necessary for bold play to be optimal subject to the constraint of limited playing time. | - |
| dc.format.extent | 1844416 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language | en | en |
| dc.language.iso | en_US | - |
| dc.relation (關聯) | Journal of Applied Probability,44,212-225 | en |
| dc.subject (關鍵詞) | Gambling theory;primitive casino;red-and-black;roulette;discount factor;optimal strategy | - |
| dc.title (題名) | On Optimality of Bold Play for Discounted Dubins-savage Gambling Problems with Limited Playing Times | en |
| dc.type (資料類型) | article | en |
| dc.identifier.doi (DOI) | 10.1239/jap/1175267173 | en_US |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1239/jap/1175267173 | en_US |
