Axiomatizations for the Shapley-Shubik power index for games with several levels of approval in the input and output

URN to cite this document: urn:nbn:de:bvb:703-epub-4594-5

Title data

Kurz, Sascha ; Moyouwou, Issofa ; Touyem, Hilaire:
Axiomatizations for the Shapley-Shubik power index for games with several levels of approval in the input and output.
Bayreuth , 2020 . - 25 S.

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Abstract

The Shapley-Shubik index is a specialization of the Shapley value and is widely applied to evaluate the power distribution in committees drawing binary decisions. It was generalized to decisions with more than two levels of approval both in the input and the output. The corresponding games are called (j,k) simple games. Here we present a new axiomatization for the Shapley-Shubik index for (j,k) simple games as well as for a continuous variant, which may be considered as the limit case.

Further data

Item Type:	Preprint, postprint
Keywords:	simple games; several levels of approval; Shapley-Shubik index; power indices; axiomatization; interval decisions
Subject classification:	Mathematics Subject Classification Code: 91A40 91B12 (91A80 91A12)
DDC Subjects:	000 Computer Science, information, general works > 004 Computer science 300 Social sciences > 320 Political science 300 Social sciences > 330 Economics 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 Mathematical Economics Profile Fields > Emerging Fields > Governance and Responsibility Faculties Profile Fields Profile Fields > Emerging Fields
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-4594-5
Date Deposited:	29 Jan 2020 06:19
Last Modified:	29 Jan 2020 06:19
URI:	https://epub.uni-bayreuth.de/id/eprint/4594

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