The full strategy minority game
The Full Strategy Minority Game (FSMG) is an instance of the Minority Game (MG) which includes a single copy of every potential agent. In this work, we explicitly solve the FSMG thanks to certain symmetries of this game. Furthermore, by considering the MG as a statistical sample of the FSMG, we comp...
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2012
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 06703caa a22007457a 4500 | ||
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| 001 | PAPER-9961 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203957.0 | ||
| 008 | 190411s2012 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-80054011450 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a PHYAD | ||
| 100 | 1 | |a Acosta, G. | |
| 245 | 1 | 4 | |a The full strategy minority game |
| 260 | |c 2012 | ||
| 270 | 1 | 0 | |m Caridi, I.; Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón i, Ciudad Universitaria, (1428) Buenos Aires, Argentina; email: ines@df.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Ho, K.H., Chow, F.K., Chau, H.F., Wealth inequality in the minority game (2004) Phys. Rev. e, 70, p. 066110 | ||
| 504 | |a Challet, D., Marsili, M., Symmetry breaking and phase transition in the minority game (1999) Phys. Rev. e, 60, p. 6271. , arxiv:cond-mat/9904392 | ||
| 504 | |a Ho, K.H., Man, W.C., Chow, F.K., Chau, H.F., Memory is relevant in the symmetric phase of the minority game (2005) Phys. Rev. e, 71, p. 066120 | ||
| 504 | |a Manuca, R., Li, Y., Riolo, R., Savit, R., The structure of adaptive competition in minority game (2000) Physica A, 282, p. 574 | ||
| 504 | |a Challet, D., Marsili, M., Zhang, Y.C., (2005) Minority Games, , Oxford University Press | ||
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| 504 | |a Johnson, N., Hart, M., Hui, P., Crowd effects and volatility in a competitive market (1999) Physica A, 269, p. 1. , arxiv:cond-mat/9811227 | ||
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| 504 | |a Caridi, I., Ceva, H., Minority game: A mean-field-like approach (2003) Physica A, 317, p. 247 | ||
| 504 | |a Liaw, S.S., Hung, Ch., Liu, Ch., Three phases of the minority game (2007) Physica A, 374, p. 359 | ||
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| 520 | 3 | |a The Full Strategy Minority Game (FSMG) is an instance of the Minority Game (MG) which includes a single copy of every potential agent. In this work, we explicitly solve the FSMG thanks to certain symmetries of this game. Furthermore, by considering the MG as a statistical sample of the FSMG, we compute approximated values of the key variable σ2N in the symmetric phase for different versions of the MG. As another application we prove that our results can be easily modified in order to handle certain kinds of initial biased strategy scores, in particular when the bias is introduced at the agents' level. We also show that the FSMG verifies a strict period two dynamics (i.e., period two dynamics satisfied with probability 1) giving, to the best of our knowledge, the first example of an instance of the MG for which this feature can be analytically proved. Thanks to this property, it is possible to compute in a simple way the probability that a general instance of the MG breaks the period two dynamics for the first time in a given simulation. © 2011 Elsevier B.V. All rights reserved. |l eng | |
| 536 | |a Detalles de la financiación: Agencia Nacional de Promoción Científica y Tecnológica, BID PICT 2007-910 | ||
| 536 | |a Detalles de la financiación: The authors wish to thank the anonymous referees for several valuable suggestions, and particularly for the comments about the possibility of computing the biased case that led us to the results given in Section 3.3 . G. Acosta and I. Caridi are members of the CONICET, Argentina. This work has been partially supported by ANPCyT under grant BID PICT 2007-910 . | ||
| 593 | |a Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón i, Ciudad Universitaria, (1428) Buenos Aires, Argentina | ||
| 593 | |a Instituto de Ciencias, UNGS, J. M. Gutiérrez 1150, (1613) Los Polvorines, Argentina | ||
| 690 | 1 | 0 | |a MINORITY GAME |
| 690 | 1 | 0 | |a PERIOD TWO DYNAMICS |
| 690 | 1 | 0 | |a UPDATING RULE |
| 690 | 1 | 0 | |a KEY VARIABLES |
| 690 | 1 | 0 | |a MINORITY GAME |
| 690 | 1 | 0 | |a PERIOD TWO DYNAMICS |
| 690 | 1 | 0 | |a STATISTICAL SAMPLES |
| 690 | 1 | 0 | |a SYMMETRIC PHASE |
| 690 | 1 | 0 | |a UPDATING RULE |
| 690 | 1 | 0 | |a DYNAMICS |
| 700 | 1 | |a Caridi, I. | |
| 700 | 1 | |a Guala, S. | |
| 700 | 1 | |a Marenco, J. | |
| 773 | 0 | |d 2012 |g v. 391 |h pp. 217-230 |k n. 1-2 |p Phys A Stat Mech Appl |x 03784371 |w (AR-BaUEN)CENRE-280 |t Physica A: Statistical Mechanics and its Applications | |
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| 856 | 4 | 0 | |u https://doi.org/10.1016/j.physa.2011.07.049 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03784371_v391_n1-2_p217_Acosta |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v391_n1-2_p217_Acosta |y Registro en la Biblioteca Digital |
| 961 | |a paper_03784371_v391_n1-2_p217_Acosta |b paper |c PE | ||
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| 963 | |a VARI | ||
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