Existence and uniqueness of continuous and monotone Bayesian Nash equilibria are established simultaneously via the Banach fixed-point theorem, with additional stability results under perturbations of the type distribution.
On the existence of equilibria to bayesian games with non-finite type and action spaces.Economics Letters, 78(2):213–218
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Existence and Uniqueness Theorem of Continuous and Monotone Bayesian Nash Equilibrium and Stability Analysis
Existence and uniqueness of continuous and monotone Bayesian Nash equilibria are established simultaneously via the Banach fixed-point theorem, with additional stability results under perturbations of the type distribution.