In this article, the authors offer a description of the computer simulation of a particular electoral system, which could be applied as one of the instruments for election campaign. The described model is based on the analysis of the conceptual model of political competition in electoral systems and electoral processes known as Hotelling-Downs model. The basic principles, axioms, hypotheses, assumptions and components of the model are examined. The authors also analyze the criticism and new approaches to improve this model. They determine the language and principles for modeling suggested in this paper. However, the authors emphasize that their proposed model can be employed to develop recommendations for determining the strategy and tactics of the election campaign, but not for forecasting election results. Directions for further enhancing the designed model are also presented to increase the adequacy and efficiency of decisions made on its basis.