### Abstract

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.

Original language | Undefined |
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Place of Publication | Enschede |

Publisher | University of Twente, Faculty of Mathematical Sciences |

Publication status | Published - 1999 |

### Publication series

Name | Memorandum / Department of Applied Mathematics |
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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

Driessen, T., & Paulusma, D. (1999).

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