COMPUTING EQUILIBRIA OF GEI BY RELOCALIZATION ON A GRASSMANN MANIFOLD

Citation
Pm. Demarzo et Bc. Eaves, COMPUTING EQUILIBRIA OF GEI BY RELOCALIZATION ON A GRASSMANN MANIFOLD, Journal of mathematical economics, 26(4), 1996, pp. 479-497
Citations number
20
Categorie Soggetti
Social Sciences, Mathematical Methods",Economics,"Mathematical, Methods, Social Sciences",Mathematics
ISSN journal
03044068
Volume
26
Issue
4
Year of publication
1996
Pages
479 - 497
Database
ISI
SICI code
0304-4068(1996)26:4<479:CEOGBR>2.0.ZU;2-G
Abstract
An algorithm is described to compute equilibria of the general economi c model with incomplete asset markets, that is, of GEI. The algorithm is based on the existence of a route of zeros of a homotopy whose doma in includes the price simplex and a Grassmann Manifold. This route is followed, in effect, by localizing and following diffeomorphic pieces in Euclidean space, and by relocalizing as is necessary.