International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 16, Pages 2555-2563
doi:10.1155/IJMMS.2005.2555
On a continuous majority rule
Won Kyu Kim1
and Kyoung Hee Lee2
1Department of Mathematics Education, Chungbuk National University, Cheongju 361-763, Korea
2Division of Liberal Arts, Korea University of Technology \& Education, Chunan 330-708, Korea
Abstract
A seminal paper by May characterizes the majority rule in terms of anonymity, neutrality, and positive responsiveness. Since then, there have been many characterizations of the majority rule using different axioms by several authors. In this paper, we will introduce the concept of a continuous majority rule which generalizes the previous social welfare functions beyond the discrete values, and using new axioms, we will give a characterization of the continuous majority rule.