Minimax Games, Spin Glasses and the Polynomial-Time Hierarchy of Complexity Classes

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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revised version, minor additions. 10 pages, AMS-LaTeX, 3 figures

Scientific paper

We use the negative replica method, which was originally developed for the
study of overfrustation in disordered system, to investigate the statistical
behaviour of the cost function of minimax games. These games are treated as
hierarchical statistical mechanical systems, in which one of the components is
at negative temperature.

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