## Title data

Darmann, Andreas ; Elkind, Edith ; Kurz, Sascha ; Lang, Jérôme ; Schauer, Joachim ; Woeginger, Gerhard:

**Group activity selection problem with approval preferences.**

*In:* International Journal of Game Theory.
Vol. 47
(September 2018)
Issue 3
.
- pp. 767-796.

ISSN 1432-1270

DOI: https://doi.org/10.1007/s00182-017-0596-4

## Abstract in another language

We consider a setting where one has to organize one or several group activities for a set of agents. Each agent will participate in at most one activity, and her preferences over activities depend on the number of participants in the activity. The goal is to assign agents to activities based on their preferences in a way that is socially optimal and/or stable. We put forward a general model for this setting, which is a natural generalization of anonymous hedonic games. We then focus on a special case of our model where agents’ preferences are binary, i.e., each agent classifies all pairs of the form ‘(activity, group size)’ into ones that are acceptable and ones that are not. We formulate several solution concepts for this scenario, and study them from the computational point of view, providing hardness results for the general case as well as efficient algorithms for settings where agents’ preferences satisfy certain natural constraints.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Hedonic games; GASP; Complexity; Approval preferences |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy Profile Fields > Emerging Fields > Governance and Responsibility Faculties Profile Fields Profile Fields > Emerging Fields |

Result of work at the UBT: | No |

DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 300 Social sciences > 330 Economics 500 Science > 510 Mathematics |

Date Deposited: | 10 Oct 2018 07:45 |

Last Modified: | 10 Oct 2018 09:49 |

URI: | https://eref.uni-bayreuth.de/id/eprint/46004 |