INTERPRETATION OF AUBIN FUZZY COALITIONS AND THEIR EXTENSION - RELAXATION OF FINITE EXCHANGE ECONOMICS

Date

1994-09-01

Author

HUSSEINOV, F

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In this article a new interpretation of Aubin's fuzzy coalitions is given. This interpretation is based on associating each finite pure exchange economy with some large nonatomic economy. Then some connections between fuzzy core of finite economy and the core of associated nonatomic economy are established. From these results it is derived that for the case of convex preferences an allocation belonging to the fuzzy core is an equilibrium allocation. The assertion is not true in nonconvex case. We proceed by using the idea of J.P. Aubin - amplifying the class of coalitions in such a manner that an allocation unblocked by them is an equilibrium allocation also in the nonconvex case.

Subject Keywords

Exchange economy, Fuzzy core, Fuzzy coalition, Equilibrium allocation, Core allocation, Allocation, Preference

URI

https://hdl.handle.net/11511/63901

Journal

JOURNAL OF MATHEMATICAL ECONOMICS

DOI

https://doi.org/10.1016/0304-4068(94)90029-9

Collections

Department of Mathematics, Article

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Citation Formats

F. HUSSEINOV, “INTERPRETATION OF AUBIN FUZZY COALITIONS AND THEIR EXTENSION - RELAXATION OF FINITE EXCHANGE ECONOMICS,” JOURNAL OF MATHEMATICAL ECONOMICS, pp. 499–516, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63901.