The purpose of the paper is to concisely present basic applications of game theory models for a scientific description of political violence. The paper is divided into four parts. The first part discusses the key theoretical issues including: the assumption of the players’ rationality, the assumption of the players’ common knowledge of their rationality, the Nash equilibrium concept, Pareto optimality, the Nash arbitration scheme and the concept of evolutionarily stable strategies. The second and third parts contain examples of uses of selected models of classical and evolutionary games in the studies on political violence. The following two interaction schemes were used to that end: the Prisoner’s Dilemma and Chicken. The paper ends with a summary and discussion. The key feature of the discussed models is their methodological simplicity, as demonstrated by the lack of need to use complicated mathematical methods. This is why the paper is mainly addressed to individuals who had not studied game theory before or who have insufficient knowledge in the field to conduct own studies.