Nash equilibria in the context of convex sets
Nash equilibria (α, β), α > O, β > O, are investigated in bimatrix (3 x 3) game. Necessary and sufficient conditions for existing of such Nash equilibria are obtained (in theorems 4 and 8), and the algorithms for calculating them too. Some ideas of convex analysis are employed.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2001-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/34730 |
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| _version_ | 1825197221413388288 |
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| author | Daina Sūdžiūtė |
| author_facet | Daina Sūdžiūtė |
| author_sort | Daina Sūdžiūtė |
| collection | DOAJ |
| description |
Nash equilibria (α, β), α > O, β > O, are investigated in bimatrix (3 x 3) game. Necessary and sufficient conditions for existing of such Nash equilibria are obtained (in theorems 4 and 8), and the algorithms for calculating them too. Some ideas of convex analysis are employed.
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| format | Article |
| id | doaj-art-1d99790375294687b811269bb2b53c00 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2001-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-1d99790375294687b811269bb2b53c002025-02-11T18:14:10ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2001-12-0141spec.10.15388/LMR.2001.34730Nash equilibria in the context of convex setsDaina Sūdžiūtė0Vilnius University Nash equilibria (α, β), α > O, β > O, are investigated in bimatrix (3 x 3) game. Necessary and sufficient conditions for existing of such Nash equilibria are obtained (in theorems 4 and 8), and the algorithms for calculating them too. Some ideas of convex analysis are employed. https://www.zurnalai.vu.lt/LMR/article/view/34730 |
| spellingShingle | Daina Sūdžiūtė Nash equilibria in the context of convex sets Lietuvos Matematikos Rinkinys |
| title | Nash equilibria in the context of convex sets |
| title_full | Nash equilibria in the context of convex sets |
| title_fullStr | Nash equilibria in the context of convex sets |
| title_full_unstemmed | Nash equilibria in the context of convex sets |
| title_short | Nash equilibria in the context of convex sets |
| title_sort | nash equilibria in the context of convex sets |
| url | https://www.zurnalai.vu.lt/LMR/article/view/34730 |
| work_keys_str_mv | AT dainasudziute nashequilibriainthecontextofconvexsets |