Q1. Elucidate how which any two pure strategy equilibria of a zero-sum game are interchangeable also equivalent.
Q2. Consider a linear Cournot duopoly with inverse demand curve
p = a - Q
where Q is market quantity. Assume firm 1's marginal cost is c_1 = 1,
also firm 2's marginal cost is c_2 = 2 (also a > 4).
(a) Find the Nash equilibrium in pure strategies.
(b) Illustrate what does iterative strict dominance say about the game?
(c) Illustrate what happens in Nash equilibrium if a = 3?