DOI: 10.1016/j.fss.2022.02.008">
 

Non-emptiness of the fuzzy core in a finite production economy with infinite-dimensional commodity space

Document Type

Article

Publication Date

2022

Department/School

Mathematics

Publication Title

Fuzzy Sets and Systems

Abstract

In this paper, we prove the non-emptiness of the fuzzy core in a finite coalition production economy under some standard assumptions which generalizes the results by Boehm [Rev Econ Stud (1974) 41: 429-436] and Predtetchinski [Economic Theory (2005) 26: 717-724], where we allow the utility functions to be possibly discontinuous. We also derive the non-emptiness of α-cores for production economies with possibly discontinuous payoff functions which implies the well-known α-core existence theorem by Scarf [Journal of Economic Theory (1971) 3: 169-181], and derive the non-emptiness of fuzzy α-cores for production economies with continuous payoff functions.

Link to Published Version

DOI: 10.1016/j.fss.2022.02.008

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