The study looked at strong Nash equilibria in games involving strategic decision-making. They focused on scenarios where players use a mix of strategies to maximize their outcomes. When both players in a game randomize among all possible strategies, the game is highly competitive. By analyzing player behaviors and mathematical principles, they developed an algorithm to find these equilibria efficiently. In games with more than two players, they found that it's possible for an outcome to be worse in a strong Nash equilibrium than in a regular one. Interestingly, games where a player mixes between different strategies are very uncommon. Overall, their work sheds light on the complexities and rare occurrences in strategic game theory.