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Continuous time dynamics of the thermal minority game

Abstract:
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.
Publication status:
Published

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Publisher copy:
10.1103/physreve.62.r9

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Journal:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics More from this journal
Volume:
62
Issue:
1 Pt A
Pages:
R9-R12
Publication date:
2000-07-01
DOI:
EISSN:
1095-3787
ISSN:
1063-651X


Language:
English
Pubs id:
pubs:24838
UUID:
uuid:ff547fbc-a720-41f4-9e67-1eb3aa919461
Local pid:
pubs:24838
Source identifiers:
24838
Deposit date:
2012-12-19

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