Characterizing core stability with fuzzy games

Abstract

This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence of an equilibrium of a certain correspondence. Institute of Mathematical Economics Working Papers

Cite this paper

@inproceedings{Shellshear2010CharacterizingCS, title={Characterizing core stability with fuzzy games}, author={Shellshear and Evan and Evan Shellshear}, year={2010} }