• MATHEMATICAL MODELING FOR YES-NO VOTING IN POLITICAL SCIENCE

Abstract

The purpose of this paper is to define and study the concepts of political science in the context of mathematics. Some topics about various political voting systems have been proved using mathematics. Also limitations of these voting systems have been highlighted.

First I have introduced so called Yes-No voting system. Real world examples of Yes-No voting system have been given In particular. I define swap robust and weighted voting systems. I prove that every weighted voting system is swap robust but converse is not true.  I see that some real world voting systems are not weighted. The concept of trade robust voting system is defined and it is proved that Voting system is trade robust if it is weighted. The concepts of equally desirable and more desirable elements in a Yes-No voting system have been defined and illustrated.