Document Type
Discussion Paper
Publication Date
12-1-2003
CFDP Number
1448
CFDP Pages
16
Abstract
We consider the voting-with-absenteeism game of Quint-Shubik (2003). In that paper we defined a power index for such games, called the absentee index. Our analysis was based on the theory of the Shapley-Shubik power index (SSPI) for simple games. In this paper we do an analogous analysis, based on the Banzhaf index instead of the SSPI. The result is a new index, called the absentee Banzhaf index. We provide an axiomatization and multilinear extension formula for this index. Finally, we re-explore Myerson’s (1977, 1980) “balanced contributions” property, and the concept of substitutes and complements for simple games (Quint-Shubik 2003), again basing our analysis on the Banzhaf index instead of the SSPI.
Recommended Citation
Quint, Thomas, "Absenteeism, Substitutes, Complements, and the Banzhaf Index" (2003). Cowles Foundation Discussion Papers. 1724.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/1724