Fencing Sport Strategy Using Game Theory

Abstract

The success of a team or a fencer requires the development of a strong strategy. This is the subject of a research project whose focus is on the performance of the team and/or the fencer. This study uses game theory to create a fencing strategy before an assault and to follow the instructions in the strategy at the assault. The game theory analysis shows that pure Nash equilibria exist, so the mixed strategy equilibrium analysis provides an optimal fencing strategy. Fencers can follow this strategy to achieve favorable results before the attack, and make necessary adjustments to the attack depending on the other player and the evolution of the situation at the assault. The results suggest that game theory can provide fencing coach and athletes with effective instructions for executing their game plan throughout preparation and during the bout.