1 Introduction – 2 Algorithmization and predictive modeling for judicial and alternative dispute resolution – 2.1 Algorithmization as an initial step in the development of a predictive modeling system – 2.2 Predictive modeling for judicial and alternative dispute resolution – 3 Risks of using predictive systems for modeling legal disputes – 3.1 Modeling the process of finding solutions – 3.2 The right to be heard by a judge – 3.3 Inaccuracy of the system in making its decision – 3.4 Data privacy violations – 3.5 Failure of the system to explain its decision logic – 4 Conclusion – References.