dc.contributor.author |
Pritchard, Geoffrey |
en |
dc.contributor.author |
Reyhani, R |
en |
dc.contributor.author |
Wilson, Mark |
en |
dc.date.accessioned |
2011-11-08T21:19:34Z |
en |
dc.date.accessioned |
2013-11-13T03:04:19Z |
en |
dc.date.issued |
2013-05 |
en |
dc.identifier.citation |
Mathematical Social Sciences 65(3):174-180 May 2013 |
en |
dc.identifier.issn |
0165-4896 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/21088 |
en |
dc.description.abstract |
We study a basic sequential model for the discovery of winning coalitions in a simple game, well known from its use in de ning the Shapley-Shubik power index. We derive in a uniform way a family of measures of collective and individual power in simple games, and show that, as for the Shapley-Shubik index, they extend naturally to measures for TU-games. In particular, the individual measures include all weighted semivalues. We single out the simplest measure in our family for more investigation, as it is new to the literature as far as we know. Although it is very di erent from the Shapley value, it is closely related in several ways, and is the natural analogue of the Shapley value under a nonstandard, but natural, de nition of simple game. We illustrate this new measure by calculating its values on some standard examples. |
en |
dc.relation.ispartofseries |
Mathematical Social Sciences |
en |
dc.relation.replaces |
http://hdl.handle.net/2292/8818 |
en |
dc.relation.replaces |
2292/8818 |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0165-4896/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
Power measures derived from the sequential query process |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1016/j.mathsocsci.2012.11.003 |
en |
pubs.issue |
3 |
en |
pubs.begin-page |
174 |
en |
pubs.volume |
65 |
en |
pubs.author-url |
http://www.sciencedirect.com/science/article/pii/S0165489612001096 |
en |
pubs.end-page |
180 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
233802 |
en |
pubs.org-id |
Science |
en |
pubs.org-id |
School of Computer Science |
en |
pubs.org-id |
Statistics |
en |
pubs.arxiv-id |
1202.1882 |
en |
pubs.record-created-at-source-date |
2011-10-19 |
en |