Measuring Up to Stiglitz-Weiss: Measure Theory, Credit and Information Dispersion

Kweku Opoku-Agyemang

Working Paper Class 42

This paper generalizes the classic Stiglitz-Weiss model using measure theory and integration to better analyze creditworthiness under information asymmetries. We revisit the original model, address its limitations, and introduce a measure-theoretic framework to handle the distribution of borrower types and associated risks. Our model accounts for a broad spectrum of borrower behaviors, including those underrepresented in traditional models, and derives new equilibrium conditions and credit rationing outcomes. We introduce a novel information asymmetry, termed information dispersion, where gaining information about one dimension of a borrower’s type increases uncertainty about other dimensions. This arises from the multidimensional nature of borrower types and the dynamic information structure in informal markets. Simulations illustrate this concept. Our findings offer a rigorous approach to understanding credit markets under information asymmetries, potentially improving credit access and financial stability.

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Opoku-Agyemang, Kweku A. (2024). "Measuring Up to Stiglitz-Weiss: Measure Theory, Credit and Information Dispersion." Machine Learning X Doing Working Paper Class 42. Machine Learning X Doing.

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