Computing equilibria of GEI by relocalization on a Grassmann manifold

DOI10.1016/0304-4068(95)00752-0zbMath0876.90026OpenAlexW2054781086MaRDI QIDQ1363090

B. Curtis Eaves, Peter M. DeMarzo

Publication date: 1 December 1997

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4068(95)00752-0

zbMATH Keywords

Grassmann manifoldincomplete asset marketscomputation of equilibriaroute-following

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) General equilibrium theory (91B50) Computational methods for problems pertaining to operations research and mathematical programming (90-08)

Related Items (12)

A simple method for computing equilibria when asset markets are incomplete ⋮ An interior-point algorithm for computing equilibria in economies with incomplete asset markets ⋮ A new proof of the index formula for incomplete markets ⋮ Computing equilibria in economies with incomplete markets, collateral and default penalties ⋮ Two-stage stochastic variational inequalities: an ERM-solution procedure ⋮ The index theorem for a GEI economy when the degree of incompleteness is even. ⋮ General equilibrium models and homotopy methods ⋮ A homotopy algorithm and an index theorem for the general equilibrium model with incomplete asset markets ⋮ A smooth homotopy method for incomplete markets ⋮ Determination of general equilibrium with incomplete markets and default penalties ⋮ Failure of the index theorem in an incomplete market economy ⋮ Computing equilibria in the general equilibrium model with incomplete asset markets

Uses Software

• PITCON
• HOMPACK

Cites Work

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• A geometric approach to a class of equilibrium existence theorems
• An introduction to general equilibrium with incomplete asset markets
• Existence of equilibrium with incomplete markets
• On the monotone convergence of Newton's method
• Equilibrium in incomplete markets. I: A basic model of generic existence
• Global analysis and economics. VI: Geometric analysis of Pareto optima and price equilibria under classical hypotheses
• Pivoting to normalize a basic matrix
• Algorithm 652
• A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
• Homotopies for computation of fixed points
• Computing Equilibria when Asset Markets are Incomplete
• Computing Zeros of Sections of Vector Bundles Using Homotopies and Relocalization
• An exact sequence in differential topology

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