A Game-Theoretic Analysis of Baccara Chemin de Fer
Assuming that cards are dealt with replacement from a single deck and that each of Player and Banker sees the total of his own two-card hand but not its composition, baccara is a 2 x 288 matrix game, which was solved by Kemeny and Snell in 1957. Assuming that cards are dealt without replacement from...
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| Format: | Article |
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MDPI AG
2013-11-01
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| Series: | Games |
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| Online Access: | http://www.mdpi.com/2073-4336/4/4/711 |
| _version_ | 1818586295507615744 |
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| author | Stewart N. Ethier Carlos Gámez |
| author_facet | Stewart N. Ethier Carlos Gámez |
| author_sort | Stewart N. Ethier |
| collection | DOAJ |
| description | Assuming that cards are dealt with replacement from a single deck and that each of Player and Banker sees the total of his own two-card hand but not its composition, baccara is a 2 x 288 matrix game, which was solved by Kemeny and Snell in 1957. Assuming that cards are dealt without replacement from a d-deck shoe and that Banker sees the composition of his own two-card hand while Player sees only his own total, baccara is a 2 x 2484 matrix game, which was solved by Downton and Lockwood in 1975 for d = 1, 2, . . . , 8. Assuming that cards are dealt without replacement from a d-deck shoe and that each of Player and Banker sees the composition of his own two-card hand, baccara is a 25 x 2484 matrix game, which is solved herein for every positive integer d. |
| first_indexed | 2024-12-16T08:50:42Z |
| format | Article |
| id | doaj.art-66abcf89430a47cda80f6a540b67202a |
| institution | Directory Open Access Journal |
| issn | 2073-4336 |
| language | English |
| last_indexed | 2024-12-16T08:50:42Z |
| publishDate | 2013-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Games |
| spelling | doaj.art-66abcf89430a47cda80f6a540b67202a2022-12-21T22:37:26ZengMDPI AGGames2073-43362013-11-014471173710.3390/g4040711g4040711A Game-Theoretic Analysis of Baccara Chemin de FerStewart N. Ethier0Carlos Gámez1Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, UT 84112, USAEscuela de Matemática, Facultad de Ciencias Naturales y Matemática, Universidad de El Salvador, Final Avenida, "Mártires Estudiantes del 30 de Julio", Ciudad Universitaria, San Salvador, El SalvadorAssuming that cards are dealt with replacement from a single deck and that each of Player and Banker sees the total of his own two-card hand but not its composition, baccara is a 2 x 288 matrix game, which was solved by Kemeny and Snell in 1957. Assuming that cards are dealt without replacement from a d-deck shoe and that Banker sees the composition of his own two-card hand while Player sees only his own total, baccara is a 2 x 2484 matrix game, which was solved by Downton and Lockwood in 1975 for d = 1, 2, . . . , 8. Assuming that cards are dealt without replacement from a d-deck shoe and that each of Player and Banker sees the composition of his own two-card hand, baccara is a 25 x 2484 matrix game, which is solved herein for every positive integer d.http://www.mdpi.com/2073-4336/4/4/711baccarachemin de fersampling without replacementmatrix gamestrict dominancekernelsolution |
| spellingShingle | Stewart N. Ethier Carlos Gámez A Game-Theoretic Analysis of Baccara Chemin de Fer Games baccara chemin de fer sampling without replacement matrix game strict dominance kernel solution |
| title | A Game-Theoretic Analysis of Baccara Chemin de Fer |
| title_full | A Game-Theoretic Analysis of Baccara Chemin de Fer |
| title_fullStr | A Game-Theoretic Analysis of Baccara Chemin de Fer |
| title_full_unstemmed | A Game-Theoretic Analysis of Baccara Chemin de Fer |
| title_short | A Game-Theoretic Analysis of Baccara Chemin de Fer |
| title_sort | game theoretic analysis of baccara chemin de fer |
| topic | baccara chemin de fer sampling without replacement matrix game strict dominance kernel solution |
| url | http://www.mdpi.com/2073-4336/4/4/711 |
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