Econometrica Vol. 49 No. 6 1981
Core Theory with Strongly Convex Preferences
Abstract
We consider economies with preferences drawn from a very general class of strongly convex preferences, closely related to the class of convex (but intransitive and incomplete) preferences for which Mas-Colell proved the existence of competitive equilibria [13]. We prove a strong core limit theorem for sequences of such economies with a mild assumption on endowments (the largest endowment is small compared to the total endowment) and a uniform convexity condition. The results extend corresponding results in Hildenbrand's book [8]. The proof, which is based on our earlier result for economies with more general preferences [2], is elementary.
- DOI
- 10.2307/1911411
- Volume
- 49
- Issue
- 6
- Pages
- 1457
- Sources
- bibtex:phds-export.bib openalex crossref