Bounds for the Diameter of the Weight Polytope

A weighted game or a threshold function in general admits different weighted representations even if the sum of non-negative weights is fixed to one. Here we study bounds for the diameter of the corresponding weight polytope. It turns out that the diameter can be upper bounded in terms of the maximum weight and the quota or threshold. We apply those results to approximation results between power distributions, given by power indices, and weights

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Year of publication:	2019
Authors:	Kurz, Sascha
Publisher:	[2019]: [S.l.] : SSRN
Subject:	Theorie \| Theory \| Mathematische Optimierung \| Mathematical programming

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Extent:	1 Online-Ressource (16 p)
Type of publication:	Book / Working Paper
Language:	English
Notes:	Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments August 8, 2018 erstellt
Other identifiers:	10.2139/ssrn.3228524 [DOI]
Classification:	C71 - Cooperative Games ; D72 - Economic Models of Political Processes: Rent-Seeking, Elections, Legistures, and Voting Behavior
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://www.econbiz.de/10012898553