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.


Show Abstract

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).

Video of the talk

Patrizio Bifulco | 27.02.2023