Abstract:
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.
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Documento: |
Conferencia
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Título: | 21/2-player generalized reactivity (1) games |
Autor: | Rodriguez, N.; Braberman, V.; D'Ippolito, N.; Uchitel, S. |
Filiación: | Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina Department of Computing Imperial College, London, United Kingdom
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Año: | 2016
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Página de inicio: | 6996
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Página de fin: | 7001
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DOI: |
http://dx.doi.org/10.1109/CDC.2016.7799347 |
Título revista: | 55th IEEE Conference on Decision and Control, CDC 2016
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Título revista abreviado: | IEEE Conf. Decis. Control, CDC 2016
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815090_v_n_p6996_Rodriguez |
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Citas:
---------- APA ----------
Rodriguez, N., Braberman, V., D'Ippolito, N. & Uchitel, S.
(2016)
. 21/2-player generalized reactivity (1) games. 55th IEEE Conference on Decision and Control, CDC 2016, 6996-7001.
http://dx.doi.org/10.1109/CDC.2016.7799347---------- CHICAGO ----------
Rodriguez, N., Braberman, V., D'Ippolito, N., Uchitel, S.
"21/2-player generalized reactivity (1) games"
. 55th IEEE Conference on Decision and Control, CDC 2016
(2016) : 6996-7001.
http://dx.doi.org/10.1109/CDC.2016.7799347---------- MLA ----------
Rodriguez, N., Braberman, V., D'Ippolito, N., Uchitel, S.
"21/2-player generalized reactivity (1) games"
. 55th IEEE Conference on Decision and Control, CDC 2016, 2016, pp. 6996-7001.
http://dx.doi.org/10.1109/CDC.2016.7799347---------- VANCOUVER ----------
Rodriguez, N., Braberman, V., D'Ippolito, N., Uchitel, S. 21/2-player generalized reactivity (1) games. IEEE Conf. Decis. Control, CDC 2016. 2016:6996-7001.
http://dx.doi.org/10.1109/CDC.2016.7799347