### Abstract

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

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 20 |

Publication status | Published - Jun 2011 |

### Publication series

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

Publisher | University of Twente, Department of Applied Mathematics |

No. | 1946 |

ISSN (Print) | 1874-4850 |

ISSN (Electronic) | 1874-4850 |

### Keywords

- Owen value
- Myerson value
- EWI-20253
- Communication graph
- Coalition structure
- IR-77523
- METIS-277676
- TU game

### Cite this

*An Owen-type value for games with two-level communication structures*. (Memorandum / Department of Applied Mathematics; No. 1946). Enschede: University of Twente, Department of Applied Mathematics.

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*An Owen-type value for games with two-level communication structures*. Memorandum / Department of Applied Mathematics, no. 1946, University of Twente, Department of Applied Mathematics, Enschede.

**An Owen-type value for games with two-level communication structures.** / van den Brink, René; Khmelnitskaya, Anna Borisovna; van der Laan, Gerard.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - An Owen-type value for games with two-level communication structures

AU - van den Brink, René

AU - Khmelnitskaya, Anna Borisovna

AU - van der Laan, Gerard

N1 - eemcs-eprint-20253

PY - 2011/6

Y1 - 2011/6

N2 - We introduce an Owen-type value for games with two-level communication structures, being structures where the players are partitioned into a coalition structure such that there exists restricted communication between as well as within the a priori unions of the coalition structure. Both types of communication restrictions are modeled by an undirected communication graph, so there is a communication graph between the unions of the coalition structure as well as a communication graph on the players in every union. We also show that, for particular two-level communication structures, the Owen value and the Aumann-Drèze value for games with coalition structures, the Myerson value for communication graph games and the equal surplus division solution appear as special cases of this new value.

AB - We introduce an Owen-type value for games with two-level communication structures, being structures where the players are partitioned into a coalition structure such that there exists restricted communication between as well as within the a priori unions of the coalition structure. Both types of communication restrictions are modeled by an undirected communication graph, so there is a communication graph between the unions of the coalition structure as well as a communication graph on the players in every union. We also show that, for particular two-level communication structures, the Owen value and the Aumann-Drèze value for games with coalition structures, the Myerson value for communication graph games and the equal surplus division solution appear as special cases of this new value.

KW - Owen value

KW - Myerson value

KW - EWI-20253

KW - Communication graph

KW - Coalition structure

KW - IR-77523

KW - METIS-277676

KW - TU game

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - An Owen-type value for games with two-level communication structures

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -