Final answer:
To find the values of X for which action T is strictly dominated, we need to compare T's payoffs to those of other actions for player 1 across all responses by player 2. Strict domination occurs when there's an action with consistently higher payoffs. The pure strategy Nash equilibria, after eliminating the dominated strategy, would be based on the best responses of the players to each other.
Step-by-step explanation:
To determine the values of X for which action T is strictly dominated for player 1, we need to compare the payoffs for player 1 associated with action T with those of the other available actions. An action is considered to be strictly dominated if there is another action that yields a higher payoff for every possible response of the other players. In this context, we will look at the payoffs related to action T and compare them with the payoffs of other strategies for player 1.
Assuming that the notation L, RT represents the available strategies for player 1, and 2,0 X,2B 4,2 1,1 represents the corresponding payoffs matrix, we can infer that T is strictly dominated if for every strategy that player 2 could take (B or not B), the payoff for player 1 from L or R is always higher than from T.
Without the full context of the payoffs matrix, we cannot specify the exact values for which T is dominated. However, once T is found to be strictly dominated for some values of X, the pure strategy Nash equilibria would then be determined by looking at the available strategies for player 2 and choosing the strategies for both players that are best responses to each other.