University of Illinois at Urbana-Champaign
Results on the fixed points of multifunctions with applications to problems in optimization and equilibrium theory
Abstract
dc:description"In this thesis the techniques of multifunction theory are applied to problems in optimization and equilibrium theory. First, fixed point index theory for multifunctions is used to extend a continuation result of F. E. Browder. This extension is then used to obtain existence results for several types of variational inequality problems. In particular, extensions of Eaves' ""basic theorem of complementarity"" are given. Next, some outstanding questions are settled regarding the α-core of an exchange economy. It is shown that an exchange economy with three or more agents can have an empty α-core. Comparison is made with a well-known theorem of Scarf. Conditions under which an exchange economy (or an abstract economy) is guaranteed to have a nonempty α-core are also presented. These latter results extend recent work of Florenzano and of Yannelis."
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Holly, Charles Anthony
- Contributors dc:contributor
-
- McLinden, Lynn
Subjects
dc:subject × 2Rights
dc:rights- Statement dc:rights
-
- Copyright 1992 Holly, Charles Anthony
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
-
AAI9305553
(UMI)AAI9305553 - OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/19147