New interpretation of the core of simple games in terms of voters' permission

Abstract

In this paper we propose a framework to treat voting situations with voters' permission, and show that in the framework we can analyze the situations more in detail than in the framework for analyzing committees. Especially, the framework allows us to investigate influences of voters' permission to the decision making. Moreover, we examine relations between the core of simple games and voters' permission, and provide new interpretation of the core in terms of voters' permission, that is, the core is the set of all stable alternatives under voters' regretless selection of permission.