For a linear-quadratic nonzero-sum game between two graphon teams, the paper derives a Nash equilibrium from coupled Riccati equations and proves existence for sufficiently small cross-team coupling.
Medvedev, The Nonlinear Heat Equation on W-Random Graphs, Archive for Rational Mechanics and Analysis, 212:781-803, 2014
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Linear-quadratic stochastic nonzero-sum differential games between graphon teams
For a linear-quadratic nonzero-sum game between two graphon teams, the paper derives a Nash equilibrium from coupled Riccati equations and proves existence for sufficiently small cross-team coupling.