## Title data

Kurz, Sascha:

**Influence in systems with convex decisions.**

Bayreuth
,
2018
. - 18 p.

## Abstract in another language

Given a system where the real-valued states of the agents are aggregated by a function to a real-valued state of the entire system, we are interested in the influence of the different agents on that function. This generalizes the notion of power indices for binary voting systems to decisions over convex one-dimensional policy spaces and has applications in economics, engineering, security analysis, and other disciplines. Here, we provide a solid theoretical framework to study the question of influence in systems with convex decisions. Based on the classical Shapley-Shubik and Penrose-Banzhaf index, from binary voting, we develop two influence measures, whose properties then are analyzed. We present some results for parametric classes of aggregation functions.

## Further data

Item Type: | Preprint, postprint |
---|---|

Keywords: | Influence; power; convex decisions; state aggregation; Shapley-Shubik index; Penrose-Banzhaf index |

Subject classification: | Mathematics Subject Classification Code: 91B12 /94C10) |

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 Profile Fields > Emerging Fields Profile Fields > Emerging Fields > Governance and Responsibility Faculties Profile Fields |

Result of work at the UBT: | Yes |

DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |

Date Deposited: | 17 Mar 2018 22:00 |

Last Modified: | 18 Mar 2019 09:13 |

URI: | https://eref.uni-bayreuth.de/id/eprint/42901 |