General equilibrium models and homotopy methods

Article Abstract:

Homotopy methods are the only theoretically sound algorithms for computing general equilibria models. These methods play a particularly important role in the analysis of large equilibrium models that can be used to anticipate changes in an economy following policy changes or shock events. In addition, homotopy methods are also valuable in the study of market instabilities, comparative statics, tatonnement, and the multiplicity of equilibria.

Usage, Economic policy, Algorithms, Homotopy theory

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Computing equilibrium in OLG models with stochastic production

Article Abstract:

A projection algorithm, which allows to compute equilibria for models with multiple generations and aggregate uncertainty, is developed.

United States, Mathematical models, Macroeconomics

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Computing equilibria in infinite-horizon finance economies: The case of one asset

Article Abstract:

Computing equilibria in dynamic models with incomplete asset markets is discussed.

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