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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Detalles Bibliográficos
Autores principales:	Acosta, G., Caridi, I., Guala, S., Marenco, J.
Formato:	JOUR
Materias:	Minority game Period two dynamics Updating rule Key variables Statistical samples Symmetric phase Dynamics
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_03784371_v391_n1-2_p217_Acosta
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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spelling	todo:paper_03784371_v391_n1-2_p217_Acosta2023-10-03T15:32:59Z The full strategy minority game Acosta, G. Caridi, I. Guala, S. Marenco, J. Minority game Period two dynamics Updating rule Key variables Minority game Period two dynamics Statistical samples Symmetric phase Updating rule Dynamics 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. Fil:Acosta, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Caridi, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Marenco, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v391_n1-2_p217_Acosta
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Minority game Period two dynamics Updating rule Key variables Minority game Period two dynamics Statistical samples Symmetric phase Updating rule Dynamics
spellingShingle	Minority game Period two dynamics Updating rule Key variables Minority game Period two dynamics Statistical samples Symmetric phase Updating rule Dynamics Acosta, G. Caridi, I. Guala, S. Marenco, J. The full strategy minority game
topic_facet	Minority game Period two dynamics Updating rule Key variables Minority game Period two dynamics Statistical samples Symmetric phase Updating rule Dynamics
description	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.
format	JOUR
author	Acosta, G. Caridi, I. Guala, S. Marenco, J.
author_facet	Acosta, G. Caridi, I. Guala, S. Marenco, J.
author_sort	Acosta, G.
title	The full strategy minority game
title_short	The full strategy minority game
title_full	The full strategy minority game
title_fullStr	The full strategy minority game
title_full_unstemmed	The full strategy minority game
title_sort	full strategy minority game
url	http://hdl.handle.net/20.500.12110/paper_03784371_v391_n1-2_p217_Acosta
work_keys_str_mv	AT acostag thefullstrategyminoritygame AT caridii thefullstrategyminoritygame AT gualas thefullstrategyminoritygame AT marencoj thefullstrategyminoritygame AT acostag fullstrategyminoritygame AT caridii fullstrategyminoritygame AT gualas fullstrategyminoritygame AT marencoj fullstrategyminoritygame
_version_	1807323773794254848

The full strategy minority game

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