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 Rodriguez, Gabriel, Caridi, Délida Inés, Marenco, Javier Leonardo
Publicado:	2012
Materias:	Minority game Period two dynamics Updating rule Key variables Statistical samples Symmetric phase Dynamics
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v391_n1-2_p217_Acosta 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

id	paper:paper_03784371_v391_n1-2_p217_Acosta
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spelling	paper:paper_03784371_v391_n1-2_p217_Acosta2023-06-08T15:40:15Z The full strategy minority game Acosta Rodriguez, Gabriel Caridi, Délida Inés Marenco, Javier Leonardo 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. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v391_n1-2_p217_Acosta 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 Rodriguez, Gabriel Caridi, Délida Inés Marenco, Javier Leonardo 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.
author	Acosta Rodriguez, Gabriel Caridi, Délida Inés Marenco, Javier Leonardo
author_facet	Acosta Rodriguez, Gabriel Caridi, Délida Inés Marenco, Javier Leonardo
author_sort	Acosta Rodriguez, Gabriel
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
publishDate	2012
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v391_n1-2_p217_Acosta http://hdl.handle.net/20.500.12110/paper_03784371_v391_n1-2_p217_Acosta
work_keys_str_mv	AT acostarodriguezgabriel thefullstrategyminoritygame AT carididelidaines thefullstrategyminoritygame AT marencojavierleonardo thefullstrategyminoritygame AT acostarodriguezgabriel fullstrategyminoritygame AT carididelidaines fullstrategyminoritygame AT marencojavierleonardo fullstrategyminoritygame
_version_	1768543950139817984

The full strategy minority game

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