베팅·게임 | Cases & Studies in Betting & Gaming | 赌博 & 投机
- date : 2015-05-20 01:10|hit : 1801
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- Article] NASH EQUILIBRIUMS IN TWO-PERSON RED-AND-BLACK GAMES
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DocNo of ILP: 1597
Doc. Type: Article
Title: NASH EQUILIBRIUMS IN TWO-PERSON RED-AND-BLACK GAMES
Authors: Chen, MR
Full Name of Authors: Chen, May-Ru
Keywords by Author:
Keywords Plus:
Abstract: In a two-person red-and-black game, each player wants to maximize the probability of winning the entire fortune of his opponent by gambling repeatedly with suitably chosen stakes. We find the multiplicativity (including submultiplicative and super-multiplicative) of the win probability function is important for the profiles (bold, timid) or (bold, bold) to be a Nash equilibrium. Surprisingly, a Nash equilibrium condition for the profile (bold, any strategy) is also given in terms of multiplicativity. Finally, we search for some suitable conditions such that the profile (timid, timid) is also a Nash equilibrium.
Cate of OECD: Other engineering and technologies
Year of Publication: 2012
Business Area: game
Detail Business: game
Country: USA
Study Area:
Name of Journal: PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES
Language: English
Country of Authors: Natl Sun Yat Sen Univ, Kaohsiung 80424, Taiwan
Press Adress: Chen, MR (reprint author), Natl Sun Yat Sen Univ, Kaohsiung 80424, Taiwan.
Email Address: mayru@faculty.nsysu.edu.tw
Citaion:
Funding: National Science Council of Taiwan [NSC 99-2118-M-110-003]
Lists of Citation: Chen MR, 2010, J APPL PROBAB, V47, P97; Chen MR, 2011, PROBAB ENG INFORM SC, V25, P119, DOI 10.1017/S0269964810000288; Chen MR, 2009, PROBAB ENG INFORM SC, V23, P37, DOI 10.1017/S0269964809000047; Chen MR, 2006, J APPL PROBAB, V43, P905, DOI 10.1239/jap/1165505196; Dubins L.E., 1976, INEQUALITIES STOCHAS; Maitra A, 1996, DISCRETE GAMBLING ST; Pontiggia L, 2005, ADV APPL PROBAB, V37, P75, DOI 10.1239/aap/1113402400; Pontiggia L, 2007, J APPL PROBAB, V44, P547, DOI 10.1239/jap/1183667420; Ross S.M., 1974, ADV APPL PROBAB, V6, P598; Secchi P, 1997, J APPL PROBAB, V34, P107, DOI 10.2307/3215180
Number of Citaion: 10
Publication: CAMBRIDGE UNIV PRESS
City of Publication: NEW YORK
Address of Publication: 32 AVENUE OF THE AMERICAS, NEW YORK, NY 10013-2473 USA
ISSN: 0269-9648
29-Character Source Abbreviation: PROBAB ENG INFORM SC
ISO Source Abbreviation: Probab. Eng. Inform. Sci.
Volume: 26
Version: 3
Start of File: 323
End of File: 336
DOI: 10.1017/S0269964812000046
Number of Pages: 14
Web of Science Category: Engineering, Industrial; Operations Research & Management Science; Statistics & Probability
Subject Category: Engineering; Operations Research & Management Science; Mathematics
Document Delivery Number: 955ET
Unique Article Identifier: WOS:000305000600002
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