Votes, candidates and mandates as Quantitative Operand of Electoral System

Problem setting. The purpose of the article is a characteristic electoral system and its elements as a computational mechanism that uses socio-political space for realization idea of direct democracy. Analysis of resent researches and publications. The following scientists were engaged in research of the specified question: Alan Gerber, Christopher Larimer, Donald Green, Jack Vowles, Josep Colomer, Barabash Yurii, Kliuchkovskyi Yurii, Afanasieva Mariana, Shveda Yurii, Shapoval Volodymyr and others. Article’s main body. Nowadays the many democratic electoral systems in use around the world attempt to strike a balance between mathematical fairness and political considerations. The author thinks that it is important to understand the discretion of the legislator, who can change certain elements of the electoral system. Therefore, the article highlights the three sociopolitical element of the electoral system – votes, candidates and mandates. The contents of these three elements can be changed by processing techniques (for example – ballot structure). But the total number of votes, candidates and seats will not change even if the legislator will change the electoral system. These elements remain static. Although the author
indicates they depend on other factors – demographic (number of people), legal (electoral qualification), psychological (voter turnout), and others. The main problem is that different processing methods of these three elements give different legal and illegal results. Therefore, it is important to predict the quantitative indicators of the votes, candidates and mandates before the construction of the electoral system in a particular country.