please help to solve question from a to i thank u

Albertsons is currently the only grocery store in the West Park area and acts virtually as the monopolist. The Albertsons manager hears a rumor that another grocer, Sprouts, is considering entering the market and building a grocery store in the same plaza as the Albertsons store. Since Albertsons is the incumbent rm, Sprouts must match the wage that Albertsons pays their workers. Further suppose that Albertsons workers are currently paid the minimum wage of $5/hour. Each rm has two strategies: Albertsons can choose to increase (I) the wage to $8/hour or it can continue to pay the workers minimum wage (N1). Sprouts can either enter (E) the market and compete with Albertsons or not enter (NE). If Albertsons increases the wages and Sprouts enters the market, Albertsons will maintain control of the market with prots of $8 million, while Sprouts earns negative prots of $-2 million because of the high wages it must pay their workers. If Albertsons does not increase its wages and Sprouts enters the market, Albertsons earns prots of $10 million, while Sprouts earns prots of $5 Department of Economics 2 of 3 UC Irvine Econ 142A: Industrial Organization Nilopa Shah million. If Sprouts does not enter and Albertsons gives their workers a raise, Sprouts will receive zero payoffs and Albertsons will $13 million in prots. Finally, if Sprouts does not enter and Albertsons chooses not to increase wages, Albertsons will earn $15 million and Sprouts will have zero payoffs. (a) Draw a normal form game representation of the situation described above. (b) List, if any, dominant strategies for Albertsons and Sprouts. (c) Can you reach a Nash equilibrium using dominant strategies? Or by using iterative elimination of dominant strategies (IEDS)? What is it? (d) List the best response strategies for each player. (e) Find the pure strategy Nash Equilibrium for the game. Now, suppose that the Albertsons manager is friends with the board members of the Irvine Company. They have proposed the following option: If Albertsons is willing to bribe the board members, the Irvine Company will increase the minimum wage of Irvine to $8. (1) Could it be a protable strategy for Albertsons to pay this bribe? Explain. (g) What is the maximum amount that Albertsons will be willing to spend for this bribe? Next, assume the timing of events is as follows. First, Albertsons has to decide to bribe (B) the board members with [3 dollars or not (NB). Second, Sprouts has to decide to enter (E) or not enter (NE). Finally, Albertsons has to decide Whether they are going to increase the worker's wages (I) or continue to pay them minimum wage (NI). (h) Draw the game in extensive form representation of the situation. (i) Assuming b