Problem 2. Consider the following two-player games. In each game, Player 1 (the row player) has two strategies {U,D}, and Player 2 (the column player) has two strategies {L,R}. In each cell, the first number is the pay-off of Player 1, and the second is that of Player 2. For each game (1)-(4), does either player have a dominant strategy? If yes, which player does, and what is its dominant strategy? For each game (1)-(4), find all the Nash equilibria of it. Note: consider pure strategies only (i.e., no mixed strategy), in which case it is possible that a game has no Nash equilibrium