Work

Schrödinger's problem with constraints

Year: 2026
Type: preprint
Abstract: Motivated by the connection between the Kyle equilibrium with static private signal and the Brownian bridge, we study a much broader class of bridges that allow one to consider more general equilibrium models, for example ones including trading costs and default risk. We show that such bridges are solutions to problems of the Schrödinger-type. Leveraging this connection, we obtain that the equilibria in models with trading costs converge to equilibria in the classical Kyle model.
Subfield: Finance
Open Access status: green
OpenAlex ID: W7160635592
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