Solutions to the regularized exploratory equilibrium HJB equation converge in suitable norms to a strong solution of the original EHJB as the entropy parameter vanishes, yielding existence of equilibria without conventional stringent regularity assumptions.
Relaxed equilibria for time- inconsistent markov decision processes.Mathematics of Operations Research, 50(4):2666–2687
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Equilibrium under Time-Inconsistency: A New Existence Theory by Vanishing Entropy Regularization
Solutions to the regularized exploratory equilibrium HJB equation converge in suitable norms to a strong solution of the original EHJB as the entropy parameter vanishes, yielding existence of equilibria without conventional stringent regularity assumptions.