Simplicial homotopy algorithms of economic equilibria. (Chinese. English summary) Zbl 0921.90027
Summary: The background of applications of simplicial homotopy algorithms in economics is discussed. A \(J_4\) simplicial refining triangulation subdivision of the unit simplex \(S^n\), and an algorithm based on the \(J_4\) triangulation and an integer labeling to obtain the economic equilibria are given. The theoretic analysis and the convergence of the algorithm are discussed.
MSC:
| 91B50 | General equilibrium theory |
| 90-08 | Computational methods for problems pertaining to operations research and mathematical programming |
| 65H20 | Global methods, including homotopy approaches to the numerical solution of nonlinear equations |
