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題名 An adaptive Kelly betting strategy for finite repeated games
作者 左瑞麟
Wu, Mu-En
Tsai, Hui-Huang
Tso, Raylin
Weng, Chi-Yao
貢獻者 資科系
關鍵詞 Computation theory; Profitability; Kelly criterion; KL-divergence; Learning Theory; Odds; Winning probability; Probability
日期 2015-08
上傳時間 8-Aug-2017 17:00:22 (UTC+8)
摘要 Kelly criterion is the optimal bidding strategy when considering a series of gambles with the wining probability p and the odds b. One of the arguments is Kelly criterion is optimal in theory rather than in practice. In this paper we show the results of using Kelly criterion in a gamble of bidding T steps. At the end of T steps, there are W times of winning and L times of losing. i.e. T =W + L. Consequently, the best strategy for these bidding steps is using the probability W/T instead of using p in Kelly Criterion. However, we do not know the number of W, to put it better the information of p, before placing the bet. We first derive the relation of profits between using p and W/T as the winning probability in the Kelly formula, respectively. Then we use the proportion of winning and bidding numbers before time step t, denoted as t p, as the winning probability used in the Kelly criterion at time step t. Even we do not know the winning probability of p in a gamble, we can use this method to achieve the profit near the optimal profit when using p in the Kelly betting. © Springer International Publishing Switzerland 2016.
關聯 Advances in Intelligent Systems and Computing, 388, 39-46
9th International Conference on Genetic and Evolutionary Computing, ICGEC 2015; Yangon; Myanmar; 26 August 2015 到 28 August 2015; 代碼 141219
資料類型 conference
DOI http://dx.doi.org/10.1007/978-3-319-23207-2_5
dc.contributor 資科系zh_Tw
dc.creator (作者) 左瑞麟zh_TW
dc.creator (作者) Wu, Mu-Enen_US
dc.creator (作者) Tsai, Hui-Huangen_US
dc.creator (作者) Tso, Raylinen_US
dc.creator (作者) Weng, Chi-Yaoen_US
dc.date (日期) 2015-08en_US
dc.date.accessioned 8-Aug-2017 17:00:22 (UTC+8)-
dc.date.available 8-Aug-2017 17:00:22 (UTC+8)-
dc.date.issued (上傳時間) 8-Aug-2017 17:00:22 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/111678-
dc.description.abstract (摘要) Kelly criterion is the optimal bidding strategy when considering a series of gambles with the wining probability p and the odds b. One of the arguments is Kelly criterion is optimal in theory rather than in practice. In this paper we show the results of using Kelly criterion in a gamble of bidding T steps. At the end of T steps, there are W times of winning and L times of losing. i.e. T =W + L. Consequently, the best strategy for these bidding steps is using the probability W/T instead of using p in Kelly Criterion. However, we do not know the number of W, to put it better the information of p, before placing the bet. We first derive the relation of profits between using p and W/T as the winning probability in the Kelly formula, respectively. Then we use the proportion of winning and bidding numbers before time step t, denoted as t p, as the winning probability used in the Kelly criterion at time step t. Even we do not know the winning probability of p in a gamble, we can use this method to achieve the profit near the optimal profit when using p in the Kelly betting. © Springer International Publishing Switzerland 2016.en_US
dc.format.extent 214379 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Advances in Intelligent Systems and Computing, 388, 39-46en_US
dc.relation (關聯) 9th International Conference on Genetic and Evolutionary Computing, ICGEC 2015; Yangon; Myanmar; 26 August 2015 到 28 August 2015; 代碼 141219en_US
dc.subject (關鍵詞) Computation theory; Profitability; Kelly criterion; KL-divergence; Learning Theory; Odds; Winning probability; Probabilityen_US
dc.title (題名) An adaptive Kelly betting strategy for finite repeated gamesen_US
dc.type (資料類型) conference
dc.identifier.doi (DOI) 10.1007/978-3-319-23207-2_5
dc.doi.uri (DOI) http://dx.doi.org/10.1007/978-3-319-23207-2_5