Continuous time dynamics of the thermal minority game
We study the continuous time dynamics of the thermal minority game. We find that the dynamical equations of the model reduce to a set of stochastic differential equations for an interacting disordered system with nontrivial random diffusion. This is the simplest microscopic description which account...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
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2000
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author | Garrahan, J Moro, E Sherrington, D |
author_facet | Garrahan, J Moro, E Sherrington, D |
author_sort | Garrahan, J |
collection | OXFORD |
description | We study the continuous time dynamics of the thermal minority game. We find that the dynamical equations of the model reduce to a set of stochastic differential equations for an interacting disordered system with nontrivial random diffusion. This is the simplest microscopic description which accounts for all the features of the system. Within this framework, we study the phase structure of the model and find that its macroscopic properties strongly depend on the initial conditions. |
first_indexed | 2024-03-07T06:59:46Z |
format | Journal article |
id | oxford-uuid:ff547fbc-a720-41f4-9e67-1eb3aa919461 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T06:59:46Z |
publishDate | 2000 |
record_format | dspace |
spelling | oxford-uuid:ff547fbc-a720-41f4-9e67-1eb3aa9194612022-03-27T13:44:09ZContinuous time dynamics of the thermal minority gameJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ff547fbc-a720-41f4-9e67-1eb3aa919461EnglishSymplectic Elements at Oxford2000Garrahan, JMoro, ESherrington, DWe study the continuous time dynamics of the thermal minority game. We find that the dynamical equations of the model reduce to a set of stochastic differential equations for an interacting disordered system with nontrivial random diffusion. This is the simplest microscopic description which accounts for all the features of the system. Within this framework, we study the phase structure of the model and find that its macroscopic properties strongly depend on the initial conditions. |
spellingShingle | Garrahan, J Moro, E Sherrington, D Continuous time dynamics of the thermal minority game |
title | Continuous time dynamics of the thermal minority game |
title_full | Continuous time dynamics of the thermal minority game |
title_fullStr | Continuous time dynamics of the thermal minority game |
title_full_unstemmed | Continuous time dynamics of the thermal minority game |
title_short | Continuous time dynamics of the thermal minority game |
title_sort | continuous time dynamics of the thermal minority game |
work_keys_str_mv | AT garrahanj continuoustimedynamicsofthethermalminoritygame AT moroe continuoustimedynamicsofthethermalminoritygame AT sherringtond continuoustimedynamicsofthethermalminoritygame |