This document discusses a game theory case study and its solution. It presents a game between two players, Player X and Player Y, with different strategies and payoffs. The game is solved both directly and using the principle of dominance. Using the dominance rule, the strategies are iteratively reduced until only one strategy remains for each player. The optimal strategy for Player X is III and for Player Y is 2, with a value of 5 for the game. Students are asked to solve the case study presented on game theory.