On the Three-Person Game Baccara Banque
Baccara banque is a three-person zero-sum game parameterized by \(\theta\in(0,1)\). A study of the game by Downton and Lockwood claimed that the Nash equilibrium is of only academic interest. Their preferred alternative is what we call the independent cooperative equilibrium. However, this solution...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-05-01
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| Series: | Games |
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| Online Access: | http://www.mdpi.com/2073-4336/6/2/57 |
| _version_ | 1828451430211518464 |
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| author | Stewart N. Ethier Jiyeon Lee |
| author_facet | Stewart N. Ethier Jiyeon Lee |
| author_sort | Stewart N. Ethier |
| collection | DOAJ |
| description | Baccara banque is a three-person zero-sum game parameterized by \(\theta\in(0,1)\). A study of the game by Downton and Lockwood claimed that the Nash equilibrium is of only academic interest. Their preferred alternative is what we call the independent cooperative equilibrium. However, this solution exists only for certain \(\theta\). A third solution, which we call the correlated cooperative equilibrium, always exists. Under a ''with replacement'' assumption as well as a simplifying assumption concerning the information available to one of the players, we derive each of the three solutions for all \(\theta\). |
| first_indexed | 2024-12-10T23:36:25Z |
| format | Article |
| id | doaj.art-6ea0fe221d8f429da24e280d3af21639 |
| institution | Directory Open Access Journal |
| issn | 2073-4336 |
| language | English |
| last_indexed | 2024-12-10T23:36:25Z |
| publishDate | 2015-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Games |
| spelling | doaj.art-6ea0fe221d8f429da24e280d3af216392022-12-22T01:29:11ZengMDPI AGGames2073-43362015-05-0162577810.3390/g6020057g6020057On the Three-Person Game Baccara BanqueStewart N. Ethier0Jiyeon Lee1Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, UT 84112, USADepartment of Statistics, Yeungnam University, 214-1 Daedong, Kyeongsan, Kyeongbuk 712-749, South KoreaBaccara banque is a three-person zero-sum game parameterized by \(\theta\in(0,1)\). A study of the game by Downton and Lockwood claimed that the Nash equilibrium is of only academic interest. Their preferred alternative is what we call the independent cooperative equilibrium. However, this solution exists only for certain \(\theta\). A third solution, which we call the correlated cooperative equilibrium, always exists. Under a ''with replacement'' assumption as well as a simplifying assumption concerning the information available to one of the players, we derive each of the three solutions for all \(\theta\).http://www.mdpi.com/2073-4336/6/2/57baccara banquebaccara à deux tableauxthree-person gamesampling with replacementNash equilibriumindependent cooperative equilibriumcorrelated cooperative equilibrium |
| spellingShingle | Stewart N. Ethier Jiyeon Lee On the Three-Person Game Baccara Banque Games baccara banque baccara à deux tableaux three-person game sampling with replacement Nash equilibrium independent cooperative equilibrium correlated cooperative equilibrium |
| title | On the Three-Person Game Baccara Banque |
| title_full | On the Three-Person Game Baccara Banque |
| title_fullStr | On the Three-Person Game Baccara Banque |
| title_full_unstemmed | On the Three-Person Game Baccara Banque |
| title_short | On the Three-Person Game Baccara Banque |
| title_sort | on the three person game baccara banque |
| topic | baccara banque baccara à deux tableaux three-person game sampling with replacement Nash equilibrium independent cooperative equilibrium correlated cooperative equilibrium |
| url | http://www.mdpi.com/2073-4336/6/2/57 |
| work_keys_str_mv | AT stewartnethier onthethreepersongamebaccarabanque AT jiyeonlee onthethreepersongamebaccarabanque |