The (2 n+1−2)-ray algorithm: A new simplicial algorithm to compute economic equilibria

DOI10.1007/BF02592075zbMath0638.90089OpenAlexW2049957162MaRDI QIDQ3780017

Gerard van der Laan, Timothy Mark Doup, Adolphus J. J. Talman

Publication date: 1987

Published in: Mathematical Programming (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02592075

zbMATH Keywords

excess demandvector labellingcomputation of economic equilibriaglobally and universally convergent price adjustment processvariable dimension simplicial restart algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10) General equilibrium theory (91B50)

Related Items (4)

A simplicial homotopy algorithm for computing zero points on polytopes ⋮ A globally and universally stable price adjustment process ⋮ The \((n+1)2^ m\)-ray algorithm: A new simplicial algorithm for the variational inequality problem on \(\mathbb{R}^ m_ +\times S^ n\) ⋮ On the existence and computation of an equilibrium in an economy with constant returns to scale production

Cites Work

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• A new simplicial variable dimension algorithm to find equilibria on the product space of unit simplices
• Variable dimension algorithms: Basic theory, interpretations and extensions of some existing methods
• The Approximation of Fixed Points of a Continuous Mapping
• SIMPLICIAL APPROXIMATION OF FIXED POINTS

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