True/False

a. A WEAKLY dominated strategy can never be played in any STRICT Nash equilibrium.

b. A two-by-two strategic game (2 players, 2 actions each) can have at most one STRICT Nash equilibrium.

c. Consider a strategic game, in which player i has two actions, a and b. Let si be some strategy profile of her opponents. If a IS a best response to si, then b is NOT a best response to si.

d. Consider the same game in (c). If a is strictly dominated for i, it MUST be strictly dominated by b.

e. Consider the same game in (c). If a IS NOT a best response to si, then a does NOT strictly dominates b.