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Importance in systems with interval decisions

Title data

Kurz, Sascha:
Importance in systems with interval decisions.
In: Advances in Complex Systems. Vol. 21 (2018) Issue 6/7 . - Eintrag 1850024.
ISSN 0219-5259
DOI: https://doi.org/10.1142/S0219525918500248

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 or importance of different agents for that function. This generalizes the notion of power indices for binary voting systems to decisions over interval policy spaces and has applications in economics, engineering, security analysis, and other disciplines. Here, we study the question of importance in systems with interval decisions. Based on the classical Shapley–Shubik and Penrose–Banzhaf index, from binary voting, we motivate and analyze two importance measures. Additionally, we present some results for parametric classes of aggregation functions.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Importance; influence; power; interval 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 Mathematics in Economy
Profile Fields > Emerging Fields > Governance and Responsibility
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 15 Jan 2019 15:09
Last Modified: 15 Jan 2019 15:09
URI: https://eref.uni-bayreuth.de/id/eprint/46924