On a Simple Game Theoretical Equivalence of Voting Majority Games with Vetoes of First and Second Degrees

摘要

Introducing a veto into the process of group decision making (voting. aggregating preferences) drastically changes the position of decision makers and. consequently, it changes their power index. In this paper we derive the Shapley-Shubik and Penrose-Banzhaf indices for a class of voting games with vetoes. We also present a way of constructing a simple voting game which is equivalent to a game with vetoes of first degree. This simplifies the calculation of power indices by allowing us to use standard algorithms which are available online.