Question 3 Consider the following 2x2 game: (11b) (31 63) Part 3 Provide an example of values for a, b, c, of such that the above game is a prisoners' dilemma game. For these numerical values, nd all Nash Equilibria and plot the best response functions in a diagram with the row player's best response on the vertical axis and the column player's best response on the horizontal axis. Part b Provide an example of values for a, b, c, (i such that the above game represents a Battle of the Sexes game, of the sort we saw in lecture. Find all Nash Equilibria and plot the best response functions in a diagram with the row player's best response on the vertical axis and the column player's best response on the horizontal axis. Part c Provide an example of values for a, b, c, (3 such that the above game is a Hawk-Dove game, again like the example we saw in lecture. Find all Nash Equilibria and plot the best response functions in a diagram with the row player's best response on the vertical axis and the column player's best response on the horizontal axis. Part (1 Provide an example of values for a, b, c, (1 such that the above is a Competition (or \"Zero Sum\") game. Find all Nash Equilibria and plot the best response functions in a diagram with the row player's best response on the vertical axis and the column player's best response on the horizontal axis