Bounds for the Nakamura number

Title data

Freixas, Josep ; Kurz, Sascha:
Bounds for the Nakamura number.
Bayreuth , 2018 . - 19 p.

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Abstract in another language

The Nakamura number is an appropriate invariant of a simple game in order to study the existence of social equilibria and the possibility of cycles. For symmetric quota games its number can be obtained by an easy formula. For some subclasses of simple games the corresponding Nakamura number has also been characterized. However, in general, not much is known about lower and upper bounds depending of invariants of simple, complete or weighted games. Here, we present several results in that direction.

Further data

Item Type:	Preprint, postprint, working paper, discussion paper
Keywords:	Nakamura number; stability; simple games; complete simple games; weighted games; bounds
Subject classification:	Mathematics Subject Classification Code: 91A12 (91B14 91B12)
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 Faculties Profile Fields Profile Fields > Emerging Fields
Result of work at the UBT:	Yes
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
Date Deposited:	19 Mar 2018 10:54
Last Modified:	18 Mar 2019 09:07
URI:	https://eref.uni-bayreuth.de/id/eprint/43011

Available Versions of this Item

Bounds for the Nakamura number. (deposited 25 Nov 2017 22:00)
- Bounds for the Nakamura number. (deposited 19 Mar 2018 10:54) [Currently Displayed]