Teoria dos jogos e o equilíbrio de Nash no processo de ensino e aprendizagem

Abstract

Game Theory revolutionized the economy and the way it was treated and is now used in many areas. Along the same lines, the teaching and learning process undergoes a change of strategy, always in search of better results and that generates greater use. This work aims to relate Game Theory with the teaching and learning process, in order to find an ideal solution that generates the greatest possible learning. For this, a group of students from the Differential and Integral Calculus 3 discipline of the Engineering courses at the Universidade Tecnológica Federal do Paraná, Campus Toledo, were interviewed and answered an interval, which was the study database. These results were used to mathematically model the study using Game Theory, mapping as main and best strategies and thus establishing an ideal scenario for students to have the best performance. The students were divided into groups of players, those who chose two and chose those who chose in a group. A Nash equilibrium was found in these two styles, each with a dominant strategy. For students who are chosen enough, the group is considered difficult, focused on extracurricular disciplinary studies, while for students who are studied individual study, the discipline is considered in a group, but also very focused and with a lot of extracurricular study. This makes it possible to outline strategies for greater success in the teaching-learning process not sampled in the discipline, but in all teaching areas.