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.
Monotone comparative statics under uncertainty.The Quarterly Journal of Economics, 117(1):187–223
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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.