Hierarchy of players in swap robust voting games

dc.contributor.author Bishnu, Monisankar
dc.contributor.author Roy, Sonali
dc.contributor.department Economics
dc.date 2018-02-17T17:56:24.000
dc.date.accessioned 2020-06-30T02:12:09Z
dc.date.available 2020-06-30T02:12:09Z
dc.date.issued 2009-10-22
dc.description.abstract <p>Ordinarily, the process of decision making by a committee through voting is modelled by a monotonic game the range of whose characteristic function is restricted to {0,1}. The decision rule that governs the collective action of a voting body induces a hierarchy in the set of players in terms of the a-priori influence that the players have over the decision making process. In order to determine this hierarchy in a swap robust game, one has to either evaluate a number-based power index (e.g., the Shapley-Shubik index, the Banzhaf-Coleman index) for each player or conduct a pairwise comparison between players in order to find out whether there exists a coalition in which player i is desirable over another player j as a coalition partner. In this paper we outline a much simpler and more elegant mechanism to determine the ranking of players in terms of their a-priori power using only minimal winning coalitions, rather than the entire set of winning coalitions.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/econ_las_workingpapers/158/
dc.identifier.articleid 1157
dc.identifier.contextkey 8726487
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath econ_las_workingpapers/158
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/22376
dc.source.bitstream archive/lib.dr.iastate.edu/econ_las_workingpapers/158/p3894_2009_10_01.pdf|||Fri Jan 14 20:46:48 UTC 2022
dc.subject.disciplines Economics
dc.subject.keywords simple game
dc.subject.keywords swap robust game
dc.subject.keywords desirability
dc.subject.keywords weak desirability
dc.subject.keywords lexicographic ordering
dc.title Hierarchy of players in swap robust voting games
dc.type article
dc.type.genre working_paper
dspace.entity.type Publication
relation.isOrgUnitOfPublication 4c5aa914-a84a-4951-ab5f-3f60f4b65b3d
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