To formally show that playing the Territorial Strategy is a Bayesian Nash Equilibrium (BNE), we need to demonstrate that it satisfies two conditions: individual rationality and Bayesian consistency. Individual Rationality: Each player's strategy should maximize their own payoff given their beliefs about the other player's strategy. In this case, both players choosing the Territorial Strategy ensures that they claim the territory if they arrived first, which maximizes their payoff. If they arri