Derives stability thresholds, spectral gap scaling, and pitchfork bifurcation for nonuniform solutions in translation-invariant mean-field games on the torus, plus qualitative propagation of chaos in the subcritical regime.
Sznitman, Topics in propagation of chaos, in ´Ecole d’ ´Et´ e de Probabilit´ es de Saint-Flour XIX—1989, Lecture Notes in Mathematics1464, Springer, 1991, pp
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Phase Transitions in Turnpike Theory For Mean-Field Games
Derives stability thresholds, spectral gap scaling, and pitchfork bifurcation for nonuniform solutions in translation-invariant mean-field games on the torus, plus qualitative propagation of chaos in the subcritical regime.