### Abstract

Original language | English |
---|---|

Place of Publication | Tilburg |

Publisher | Operations research |

Number of pages | 21 |

Volume | 2002-97 |

Publication status | Published - 2002 |

### Publication series

Name | CentER Discussion Paper |
---|---|

Volume | 2002-97 |

### Fingerprint

### Keywords

- game theory

### Cite this

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

}

**Egalitarianism in Convex Fuzzy Games.** / Brânzei, R.; Dimitrov, D.A.; Tijs, S.H.

Research output: Working paper › Discussion paper › Other research output

TY - UNPB

T1 - Egalitarianism in Convex Fuzzy Games

AU - Brânzei, R.

AU - Dimitrov, D.A.

AU - Tijs, S.H.

N1 - Pagination: 21

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - game theory

M3 - Discussion paper

VL - 2002-97

T3 - CentER Discussion Paper

BT - Egalitarianism in Convex Fuzzy Games

PB - Operations research

CY - Tilburg

ER -