The article explores how different types of decision-making preferences affect game theory equilibria. Nash equilibria and correlated equilibria are key concepts in game theory, and the researchers studied how these equilibria change when players have cumulative prospect theoretic (CPT) preferences. They found that while Nash equilibria always lie on the boundary of a convex polytope, CPT equilibria can be disconnected. However, all CPT Nash equilibria still lie on the boundary. This research provides insights into how different types of preferences can impact strategic decision-making in games.