Equilibria in infinite-dimensional production economies with convexified coalitions

B-Tier
Journal: Economic Theory
Year: 2001
Volume: 17
Issue: 1
Pages: 121-139

Score contribution per author:

2.018 = (α=2.02 / 1 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This paper deals with a private ownership production economy assuming that the commodity space is infinite-dimensional. It is first showed that the fuzzy core allocations, a concept that goes back to J.-P. Aubin, are in a one-to-one correspondence with certain core allocations of a continuum economy suitably defined. This result is obtained under convexity of preferences and production sets and separability of the commodity space. In the case of nonconvex preferences and production sets, the set of fuzzy coalitions can be enlarged in order to obtain that every allocation of the core accordingly defined is supported by a non zero price. The proof of the equivalence result when the positive cone of the commodity space has the empty interior, is obtained under assumptions of properness for preferences relations and production sets.

Technical Details

RePEc Handle
repec:spr:joecth:v:17:y:2001:i:1:p:121-139
Journal Field
Theory
Author Count
1
Added to Database
2026-01-25