Schofield, Norman (1984) Existence of Equilibrium on a Manifold. Mathematics of Operations Research, 9 (4). pp. 545-557. ISSN 0364-765X. https://resolver.caltech.edu/CaltechAUTHORS:20171002-103618964
![]() |
PDF (sswp 482 - published)
- Published Version
Restricted to Caltech community only See Usage Policy. 697Kb |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20171002-103618964
Abstract
Existence of equilibrium of a continuous preference relation p or correspondence P on a compact topological space W can be proved either by assuming acyclicity or convexity (no point belongs to the convex hull of its preferred set). Since both properties may well be violated in both political and economic situations, this paper considers instead a “local” convexity property appropriate to a “local” preference relation or preference field. The local convexity property is equivalent to the nonexistence of “local” cycles. When the state space W is a convex set, or is a smooth manifold of a certain topological type, then the “local” convexity property is sufficient to guarantee the existence of a set of critical optima.
Item Type: | Article | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||||||||
Additional Information: | © 1984 INFORMS. Published Online: November 1, 1984. | ||||||||||||
Subject Keywords: | equilibrium; choice; preference; manifold | ||||||||||||
Issue or Number: | 4 | ||||||||||||
Record Number: | CaltechAUTHORS:20171002-103618964 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171002-103618964 | ||||||||||||
Official Citation: | Existence of Equilibrium on a Manifold Norman Schofield Mathematics of Operations Research 19849:4 , 545-557 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 81945 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Tony Diaz | ||||||||||||
Deposited On: | 02 Oct 2017 18:00 | ||||||||||||
Last Modified: | 03 Oct 2019 18:49 |
Repository Staff Only: item control page