On the Probablistic Relationship between the Public Good Index and the Normalized Bannzhaf Index
In this paper we develop a probablistic interpretation for the normalized Banzhaf index and the public good index. We then derive a way to decompose the normalized Banzhaf index into two parts. The first of them relates the Banzhaf index with the public good index and the other one on a special type of luck. Similarities and differences of the two indices are then discussed.