For first-order stationary mean-field games with quadratic Hamiltonian, the vanishing-discount limit is characterized by a Mather-type selection criterion and shown to converge to a unique solution under stated conditions.
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The selection problem for some first-order stationary mean-field games
For first-order stationary mean-field games with quadratic Hamiltonian, the vanishing-discount limit is characterized by a Mather-type selection criterion and shown to converge to a unique solution under stated conditions.