Title data
Freixas, Josep ; Kurz, Sascha:
Bounds for the Nakamura number.
In: Social Choice and Welfare.
Vol. 52
(April 2019)
Issue 4
.
- pp. 607-634.
ISSN 1432-217X
DOI: https://doi.org/10.1007/s00355-018-1164-y
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: | Article in a journal |
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Refereed: | Yes |
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 > 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 300 Social sciences > 320 Political science 300 Social sciences > 330 Economics 500 Science > 510 Mathematics |
Date Deposited: | 17 Apr 2019 07:00 |
Last Modified: | 17 Apr 2019 07:00 |
URI: | https://eref.uni-bayreuth.de/id/eprint/48692 |