The Banzhaf power index on convex geometries
نویسندگان
چکیده
منابع مشابه
The Banzhaf power index on convex geometries
In this paper, we introduce the Banzhaf power indices for simple games on convex geometries. We define the concept of swing for these structures, obtaining convex swings. The number of convex swings and the number of coalitions such that a player is an extreme point are the basic tools to define the convex Banzhaf indices, one normalized and other probabilistic. We obtain a family of axioms tha...
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In this paper we analyze ternary bicooperative games, which are a refinement of the concept of a ternary voting game introduced by Felsenthal and Machover. Furthermore, majority voting rules based on the difference of votes are simple bicooperative games. First, we define the concepts of the defender and detractor swings for a player. Next, we introduce the Banzhaf power index and the normalize...
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ژورنال
عنوان ژورنال: Mathematical Social Sciences
سال: 1998
ISSN: 0165-4896
DOI: 10.1016/s0165-4896(98)00021-3