### Abstract

In this paper the egalitarian solution for convex cooperative fuzzy games is introduced.The classical Dutta-Ray algorithm for finding the constrained egalitarian solution for convex crisp games is adjusted to provide the egalitarian solution of a convex fuzzy game.This adjusted algorithm is also a finite algorithm, because the convexity of a fuzzy game implies in each step the existence of a maximal element which corresponds to a crisp coalition.For arbitrary fuzzy games the equal division core is introduced.It turns out that both the equal division core and the egalitariansolution of a convex fuzzy game coincide with the corresponding equal division core and the constrained egalitarian solution, respectively, of the related crisp game.

Original language | English |
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Place of Publication | Tilburg |

Publisher | Operations research |

Number of pages | 21 |

Volume | 2002-97 |

Publication status | Published - 2002 |

### Publication series

Name | CentER Discussion Paper |
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Volume | 2002-97 |

### Keywords

- game theory

## Cite this

Brânzei, R., Dimitrov, D. A., & Tijs, S. H. (2002).

*Egalitarianism in Convex Fuzzy Games*. (CentER Discussion Paper; Vol. 2002-97). Operations research.