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dc.contributor.authorLindner, Ines
dc.contributor.authorOwen, Guillermo
dc.date2007
dc.date.accessioned2018-03-02T17:02:45Z
dc.date.available2018-03-02T17:02:45Z
dc.date.issued2007-02
dc.identifier.citationInes Lindner, Guillermo Owen. "Cases where the Penrose limit theorem does not hold." ScienceDirect, Mathematical Social Sciences 53 (2007) 232–238en_US
dc.identifier.urihttp://hdl.handle.net/10945/57102
dc.descriptionThe article of record as published may be located at http://doi.org/10.1016/j.mathsocsci.2007.01.005
dc.descriptionResearch performed while at the Naval Postgraduate School, Monterey, California, United States.
dc.description.abstractPenrose's limit theorem (PLT, really a conjecture) states that the relative power measure of two voters tends asymptotically to their relative voting weight (number of votes). This property approximately holds in most of real life and in randomly generated WVGs for various measures of voting power. Lindner and Machover prove it for some special cases; amongst others they give a condition for this theorem to hold for the Banzhaf–Coleman index for a quota of 50%. We show here, by counterexamples, that the conclusion need not hold for other values of the quota. In doing this, we present an analytic proof of a counterexample recently given by Chang et al. using simulation techniques.en_US
dc.format.extent7 p.en_US
dc.publisherElsevieren_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleCases where the Penrose limit theorem does not holden_US
dc.typeArticleen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentMathematicsen_US
dc.contributor.departmentMathematics
dc.subject.authorGame theoryen_US
dc.subject.authorVoting gamesen_US
dc.subject.authorLimit theoremsen_US
dc.subject.authorPower indicesen_US


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