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Influence in systems with convex decisions

URN to cite this document: urn:nbn:de:bvb:703-epub-3600-0

Title data

Kurz, Sascha:
Influence in systems with convex decisions.
Bayreuth , 2018 . - 18 S.

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Abstract

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)
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
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
Profile Fields > Emerging Fields > Governance and Responsibility
Faculties
Profile Fields
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3600-0
Date Deposited: 13 Mar 2018 08:24
Last Modified: 18 Mar 2019 09:13
URI: https://epub.uni-bayreuth.de/id/eprint/3600

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