Minimizers of a unimodular potential on random graphs coincide with quenched Nash equilibria under convexity assumptions, with thermodynamic limits and semi-explicit solutions via Green kernels or nonlinear Poisson equations.
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Potential Games on Unimodular Random Graphs
Minimizers of a unimodular potential on random graphs coincide with quenched Nash equilibria under convexity assumptions, with thermodynamic limits and semi-explicit solutions via Green kernels or nonlinear Poisson equations.