10.1016/j.fss.2018.01.010">
 

Existence of an Aumann–Maschler fuzzy bargaining set and fuzzy kernels in TU fuzzy games

Document Type

Article

Publication Date

2018

Department/School

Mathematics

Publication Title

Fuzzy Sets and Systems

Abstract

In this paper, we first give fuzzy extensions of the well-known solution concepts of kernel and prekernel for a transferable utility (TU) game and establish the existence of fuzzy kernels in TU fuzzy games which generalizes the corresponding result for classical TU games by Davis and Maschler . We then prove that the fuzzy kernel is a subset of the fuzzy bargaining set in a TU fuzzy game, which gives the fuzzy counterpart of the corresponding fact for classical TU games by Davis and Maschler. As a consequence, we establish the existence of fuzzy Aumann–Maschler fuzzy bargaining sets for TU fuzzy games which generalizes the well-known existence theorem for bargaining sets by Aumann and Maschler and Peleg .

Link to Published Version

10.1016/j.fss.2018.01.010

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