Electoral Systems in the Digital Age: Underlying Challenges and New Opportunities Part I. A Review of the Problems, Classic Protocols of Collective Choice

The article is devoted to the problem of democratic development Ukraine.
 reasons for need a radical transformation electoral process in Ukraine have been considered from theoretical standpoint. main goal and sub-goals research formulated. classical mathematical models technologies, selected comparison with modern approaches described.
 basic principles selection methods measuring results approval voting analyzed. issues constructing verbal-numerical scale, assessing consistency voter decisions applying statistical criteria obtain consolidated result considered.
 calculating final election rating are Mathematical algorithms multicriteria based on qualimetric approach pairwise four variants scales given. Protocols determining consensus alternatives using Topsis method, Kemeni – Young median, Schulze heuristic procedure, fuzzy set approbation protocols system model 4 candidates 7 questions ballot paper algorithm generating by Monte Carlo method arrays initial data size 10,000 records, having uniform normal distribution three bias parameter, presented. To identify sensitivity studied violations transitivity individual preference profiles, primary were transformed replacing nontransitive profiles an equivalent number transitive ones without presenting any alternative. Based assessment correlation ratings, their type judgments, it was concluded that advisable use Kemeny median determine results. proposed transforming also makes possible Condorcet, Dodgson, Saati protocols. this study indicate there fundamental possibility transition new digital paradigm approving principle voting.