21/2-player generalized reactivity (1) games
We introduce a new class of 21/2-player games, the 21/2-player GR(1) games, that allows for solving problems of stochastic nature by adding a probabilistic component to simple 2-player GR(1) games. Further, we present an efficient approach for solving qualitative 21/2-player GR(1) games with polynom...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_97815090_v_n_p6996_Rodriguez |
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todo:paper_97815090_v_n_p6996_Rodriguez2023-10-03T16:43:47Z 21/2-player generalized reactivity (1) games Rodriguez, N. Braberman, V. D'Ippolito, N. Uchitel, S. We introduce a new class of 21/2-player games, the 21/2-player GR(1) games, that allows for solving problems of stochastic nature by adding a probabilistic component to simple 2-player GR(1) games. Further, we present an efficient approach for solving qualitative 21/2-player GR(1) games with polynomial-time complexity. Our approach is based on a reduction from 21/2-player GR(1) games to 2-player GR(1) games that allows for solving the game and constructing, from a sure winning strategy for player □ (resp. L) in a 2-player GR(1) game, an almost-sure (resp. positively) winning strategy for its corresponding 21/2-player GR(1) game. Key to the effectiveness of the proposed approach is the fact that the reduction generates a 2-player game that is linearly larger than the original 21/2-player game, more precisely, it is linear with respect to the number of probabilistic states in the 21/2-player GR(1) game. © 2016 IEEE. Fil:Braberman, V. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_97815090_v_n_p6996_Rodriguez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We introduce a new class of 21/2-player games, the 21/2-player GR(1) games, that allows for solving problems of stochastic nature by adding a probabilistic component to simple 2-player GR(1) games. Further, we present an efficient approach for solving qualitative 21/2-player GR(1) games with polynomial-time complexity. Our approach is based on a reduction from 21/2-player GR(1) games to 2-player GR(1) games that allows for solving the game and constructing, from a sure winning strategy for player □ (resp. L) in a 2-player GR(1) game, an almost-sure (resp. positively) winning strategy for its corresponding 21/2-player GR(1) game. Key to the effectiveness of the proposed approach is the fact that the reduction generates a 2-player game that is linearly larger than the original 21/2-player game, more precisely, it is linear with respect to the number of probabilistic states in the 21/2-player GR(1) game. © 2016 IEEE. |
| format |
CONF |
| author |
Rodriguez, N. Braberman, V. D'Ippolito, N. Uchitel, S. |
| spellingShingle |
Rodriguez, N. Braberman, V. D'Ippolito, N. Uchitel, S. 21/2-player generalized reactivity (1) games |
| author_facet |
Rodriguez, N. Braberman, V. D'Ippolito, N. Uchitel, S. |
| author_sort |
Rodriguez, N. |
| title |
21/2-player generalized reactivity (1) games |
| title_short |
21/2-player generalized reactivity (1) games |
| title_full |
21/2-player generalized reactivity (1) games |
| title_fullStr |
21/2-player generalized reactivity (1) games |
| title_full_unstemmed |
21/2-player generalized reactivity (1) games |
| title_sort |
21/2-player generalized reactivity (1) games |
| url |
http://hdl.handle.net/20.500.12110/paper_97815090_v_n_p6996_Rodriguez |
| work_keys_str_mv |
AT rodriguezn 212playergeneralizedreactivity1games AT brabermanv 212playergeneralizedreactivity1games AT dippoliton 212playergeneralizedreactivity1games AT uchitels 212playergeneralizedreactivity1games |
| _version_ |
1807321186663661568 |