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On Non-Ergodic Phases In Minority Games

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  • ANDREA DE MARTINO

    ()
    (INFM/CNR and Dipartimento di Fisica, Sapienza Università di Roma, Rome, Italy)

  • TOBIAS GALLA

    (The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy; Theoretical Physics, School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, UK)

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    Abstract

    In the first part of this review, we survey the known analytic results regarding the non-ergodic phase of standard Minority Games. Such phases are characterized by the fact that, at odds with ergodic regimes, the steady state properties of the game (e.g. the volatility) depend both on the initial conditions chosen for the agents' learning process as well as on the learning rate. Secondly, we present a discussion of the effects of finite-memory learning, which lifts the non-ergodicity, in the context of spherical Minority Games.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal New Mathematics and Natural Computation.

    Volume (Year): 07 (2011)
    Issue (Month): 02 ()
    Pages: 249-265

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    Handle: RePEc:wsi:nmncxx:v:07:y:2011:i:02:p:249-265

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    Related research

    Keywords: Minority game; adaptive agents; phase transitions; ergodicity breaking;

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