## Title data

Kurz, Sascha:

**How long does it take to consensus in the Hegselmann-Krause model?**

*In:* Proceedings in Applied Mathematics and Mechanics.
Vol. 14
(2014)
Issue 1
.
- pp. 803-804.

ISSN 1617-7061

DOI: https://doi.org/10.1002/pamm.201410382

## Abstract in another language

Hegselmann and Krause introduced a discrete-time model of opinion dynamics with agents having limit confidence. It is well known that the dynamics reaches a stable state in a polynomial number of time steps. However, the gap between the known lower and upper bounds for the worst case is still immense. In this paper exact values for the maximum time, needed to reach consensus or to discover that consensus is impossible, are determined using an integer linear programming approach.

## Further data

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

Refereed: | Yes |

Keywords: | opinion dynamics, convergence time |

Subject classification: | MSC: 39A33, 91D10, 37N99 |

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 Mathematical Economics Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS) Faculties Research Institutions Research Institutions > Research Centres |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 13 May 2015 08:35 |

Last Modified: | 15 Feb 2022 13:35 |

URI: | https://eref.uni-bayreuth.de/id/eprint/13316 |