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Single and attractive: Uniqueness and stability of economic equilibria under monotonicity assumptions

2022/09/06 by Patrizio Bifulco, Jochen Glück, Bifulco, Patrizio +5 · 1 voice
Decision Sciences · Economics, Econometrics and Finance · #Economic theories and models #Game Theory and Applications #Global trade and economics

paper · doi:10.1016/j.jinteco.2025.104187

openalex created_date 2025/10/10 · openalex publication_date 2025/11/04 · crossref created 2025/11/04 · crossref issued 2026/01/01 · crossref published 2026/01/01 · crossref published-print 2026/01/01 · crossref deposited 2026/01/16 · crossref indexed 2026/03/10 · openalex updated_date 2026/07/23

Abstract

This paper characterizes equilibrium properties of a broad class of economic models that allow multiple heterogeneous agents to interact in heterogeneous manners across several markets. Our key contribution is a new theorem providing sufficient conditions for uniqueness and stability of equilibria in this class of models. To illustrate the applicability of our theorem, we characterize the general equilibrium properties of two commonly used quantitative trade models. Specifically, our analysis provides a first proof of uniqueness and stability of the equilibrium in multi-country trade models featuring (i) multiple sectors, or (ii) heterogeneity across countries in terms of their labor cost shares. These examples also provide a practical toolkit for future research on how our theorem can be applied to establish uniqueness and stability of equilibria in a broad set of economic models.

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