### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Faculty of Mathematical Sciences |

Publication status | Published - 1999 |

### Publication series

Name | Memorandum / Department of Applied Mathematics |
---|---|

Publisher | University of Twente, Faculty of Mathematical Sciences |

No. | 1494 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-90D40
- IR-65683
- EWI-3314
- MSC-90D12

### Cite this

*Two extensions of the Shapley value for cooperative games*. (Memorandum / Department of Applied Mathematics; No. 1494). Enschede: University of Twente, Faculty of Mathematical Sciences.

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*Two extensions of the Shapley value for cooperative games*. Memorandum / Department of Applied Mathematics, no. 1494, University of Twente, Faculty of Mathematical Sciences, Enschede.

**Two extensions of the Shapley value for cooperative games.** / Driessen, Theo; Paulusma, Daniël.

Research output: Book/Report › Report › Other research output

TY - BOOK

T1 - Two extensions of the Shapley value for cooperative games

AU - Driessen, Theo

AU - Paulusma, Daniël

N1 - Imported from MEMORANDA

PY - 1999

Y1 - 1999

N2 - Two extensions of the Shapley value are given. First we consider a probabilistic framework in which certain consistent allocation rules such as the Shapley value are characterized. The second generalization of the Shapley value is an extension to the structure of posets by means of a recursive form. In the latter setting, the Shapley value for quasi-concave games is shown to be a core-allocation.

AB - Two extensions of the Shapley value are given. First we consider a probabilistic framework in which certain consistent allocation rules such as the Shapley value are characterized. The second generalization of the Shapley value is an extension to the structure of posets by means of a recursive form. In the latter setting, the Shapley value for quasi-concave games is shown to be a core-allocation.

KW - MSC-90D40

KW - IR-65683

KW - EWI-3314

KW - MSC-90D12

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Two extensions of the Shapley value for cooperative games

PB - University of Twente, Faculty of Mathematical Sciences

CY - Enschede

ER -