Power measures derived from the sequential query process

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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

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