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McLinden, Lynn Holly, Charles Anthony 2011-05-07T11:58:21Z 2011-05-07T11:58:21Z 10000-01-01 1992 "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 $\alpha$-core of an exchange economy. It is shown that an exchange economy with three or more agents can have an empty $\alpha$-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 $\alpha$-core are also presented. These latter results extend recent work of Florenzano and of Yannelis." Made available in DSpace on 2011-05-07T11:58:21Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9305553.pdf: 2927940 bytes, checksum: 79dae15734259f69e861c5c09ed53636 (MD5) Previous issue date: 1992 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:34:58Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:13:37-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9305553 (UMI)AAI9305553 http://hdl.handle.net/2142/19147 eng Copyright 1992 Holly, Charles Anthony Mathematics Economics, Theory Results on the fixed points of multifunctions with applications to problems in optimization and equilibrium theory text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.