This paper characterizes equilibrium properties of a broad class of economic models that allow multiple heterogeneous agents to interact in heterogeneous ways across several markets. Our key contribution is a new theorem that provides sufficient conditions for uniqueness, attractivity, and stability of solutions of non-linear equation systems. To illustrate the applicability of our theorem, we characterize the general equilibrium properties of an extended version of the “universal gravity” framework, which comprises a host of seminal trade models. Specifically, we provide conditions for uniqueness, stability, and attractivity when, in line with real-world observations, (i) supply elasticities are allowed to vary by country, or (ii) multiple sectors are introduced. We also provide a practical toolkit for future research on how our theorem can be applied to establish uniqueness, stability, and attractivity of equilibria in a broad set of economic models.
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