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No-regret Dynamics and Fictitious Play

  • Yannick Viossat

    ()

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS - Centre National de la Recherche Scientifique - Université Paris-Dauphine)

  • Andriy Zapechelnyuk

    ()

    (School of Economics and Finance, Queen Mary, University of London - QMUL - School of Economics and Finance - Queen Mary, University of London)

Potential based no-regret dynamics are shown to be related to fictitious play. Roughly, these are epsilon-best reply dynamics where epsilon is the maximal regret, which vanishes with time. This allows for alternative and sometimes much shorter proofs of known results on convergence of no-regret dynamics to the set of Nash equilibria.

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File URL: https://hal.archives-ouvertes.fr/hal-00713871v2/document
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Paper provided by HAL in its series Post-Print with number hal-00713871.

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Date of creation: 2013
Publication status: Published in Journal of Economic Theory, Elsevier, 2013, 148 (2), pp.825-842. <10.1016/j.jet.2012.07.003>
Handle: RePEc:hal:journl:hal-00713871
DOI: 10.1016/j.jet.2012.07.003
Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00713871v2
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