Tata and Posco are steel companies, and both of them are considering to expand their production capacity in India. Each of the two companies can decide to expand (strategy E) or not to expand (strategy N). If only one of them expands, then its profit will increase by 5 from the increased capacity, while the other company earns and loses nothing. If both of them expand, then there will be excess supply and both will incur a loss of 2 in profit, resulting from depressed market price of steel. Of course, if none of them expands, their respective profits will remain unchanged. (a) Treating this as a simultaneous-move game, construct a suitable payoff matrix (you can construct a 3x3 table easily for this purpose by using the Table function, the first icon in the second row on the Editors bar for the entry box), and identify and verify the outcome and strategies in the two Nash equilibria. (b) Suppose Posco makes the expansion decision first, the extensive form of this game can be written as follows. Please identify and verify the outcome and strategies in the two Nash equilibria. (c) Is there a subgame perfect equilibrium, and do you think Posco will expand? Explain. (d) Discuss the concept of first-mover advantage in this context

E (-2,-2). Tata E. N (5,0) Posco E. N. (0,5) Tata N (0,0) E (-2,-2). Tata E. N (5,0) Posco E. N. (0,5) Tata N (0,0)