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https://ah.lib.nccu.edu.tw/handle/140.119/29045
題名: | On Optimality of Bold Play for Discounted Dubins-savage Gambling Problems with Limited Playing Times | 作者: | 姚怡慶 Yao, Yi-Ching |
關鍵詞: | Gambling theory;primitive casino;red-and-black;roulette;discount factor;optimal strategy | 日期: | Sep-2007 | 上傳時間: | 1-Jun-2009 | 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. | 關聯: | Journal of Applied Probability,44,212-225 | 資料類型: | article | DOI: | http://dx.doi.org/10.1239/jap/1175267173 |
Appears in Collections: | 期刊論文 |
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