[HTML][HTML] The Banzhaf power index for ternary bicooperative games

JM Bilbao, JR Fernández, N Jiménez… - Discrete Applied …, 2010 - Elsevier
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 normalized Banzhaf power index. The main result of the paper
is an axiomatization of the Banzhaf power index for the class of ternary bicooperative …

The Banzhaf power index for ternary bicooperative games

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 normalized Banzhaf power index. The main result of the paper
is an axiomatization of the Banzhaf power index for the class of ternary bicooperative …
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