Talk by Patrizio Bifulco
On February 22nd, 2023, Patrizio Bifulco (FernUniversität in Hagen) gave a talk about "Single and Attractive: Uniqueness and Stability of Economic Equilibria under Monotonicity Assumptions" as part of the research seminar Analysis of the FernUniversität in Hagen.
Abstract
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In this talk we present a theorem providing sufficient conditions for uniqueness and attractivity (respectively stability) of solutions for fixed point equations in a certain class of models motivated by trade economics. We briefly discuss the uniqueness in our theorem and present how Perron-Frobenius theory for irreducible matrices plays an important role there. Further, we give a comparison of our theory to some results coming from nonlinear Perron-Frobenius theory.
To illustrate the applicability of our theorem, we characterize the general equilibrium properties of two simplified but commonly used quantitative trade models afterwards.
This project is based on a preprint in collaboration with Jochen Glück (University of Wuppertal), Oliver Krebs (ETH Zürich) and Bohdan Kukharskyy (City University of New York).
