Weighted and roughly weighted simple games

In this paper we give necessary and sufficient conditions for a simple game to have rough weights. We define two functions f(n) and g(n) that measure the deviation of a simple game from a weighted majority game and roughly weighted majority game, respectively. We formulate known results in terms of lower and upper bounds for these functions and improve those bounds. We also investigate rough weightedness of simple games with a small number of players.

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Year of publication:	2011
Authors:	Gvozdeva, Tatiana ; Slinko, Arkadii
Published in:	Mathematical Social Sciences. - Elsevier, ISSN 0165-4896. - Vol. 61.2011, 1, p. 20-30
Publisher:	Elsevier
Keywords:	Simple game Weighted majority game Trading transform Rough weights Projective games Hadamard games

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008869051