. . Consider the following two-stage entry-pricing game between an incumbent firm and a potential entrant: 2 players: {incumbent, entrant} Two-stage game: o Stage-1: Potential entrant makes its entry decision by choosing from {Enter, Do not enter}; o Stage 2: The incumbent and the new entrant engage in simultaneous-move pricing game. If the potential entrant chooses to enter, she must incur a one-time fixed cost of entry, f, prior to engaging in price competition. This cost includes the advertising and marketing expenses which must be incurred prior to entry to guarantee a degree of customer loyalty that can match the incumbent's. The stage-2 price competition has the following structure: o The market that opens for competition has three types of consumers: Type-1 consumers locked into the incumbent firm's product; Type-2 consumers locked into the new entrant's product; Type-3 consumers with no loyalty to either firm. o Each firm can choose a price from {PH (high price), PL (low price)}. o Profit margins per unit of output are: $10 if price = PH; $6 if price = PL. The demand has the following structure: o If entry takes place, each firm has a loyal captive customer base demanding 2,000 units per year regardless of the price, and the floating demand for 6,000 units per year (price-conscious consumers buying from the lower-priced firm). o If entry does not take place, the incumbent firm has the monopoly over the entire market demand for 10,000 units per year. o Given that entry takes place, if both firms charge the same price, PH or PL, the floating demand will be divided equally between the two firms (hence, 3,000 units each). If the firms charge different prices, the firm charging the lower price will capture the entire floating demand of 6,000 units. Hence, if entry occurs in the first stage, the payoff table for the second stage post-entry game would look as follows: . Entrant PH PL PH (XXX, XXX)(xxx, XXX) Incumbent PL (xxx, xxx) (xxx, XXX) (a) What are the post-entry payoffs for the two firms if both firms charge high price, (PH, PH)? In other words, what are the payoff numbers in thousands of dollars going into the upper left cell in the above payoff table? (5 pts) (b) What are the post-entry payoffs for the two firms if incumbent charges high price and entrant charges low price, (PH, PL)? In other words, what are the payoff numbers in thousands of dollars going into the upper right cell in the above payoff table? (5 pts) (C) What are the post-entry payoffs for the two firms if incumbent charges low price and entrant charges high price, (PL, PH)? In other words, what are the payoff numbers in thousands of dollars going into the lower left cell in the above payoff table? (5 pts) (d) What are the post-entry payoffs for the two firms if both firms charge low price, (PL, PL)? In other words, what are the payoff numbers in thousands of dollars going into the lower right cell in the above payoff table? (5 pts) . . Consider the following two-stage entry-pricing game between an incumbent firm and a potential entrant: 2 players: {incumbent, entrant} Two-stage game: o Stage-1: Potential entrant makes its entry decision by choosing from {Enter, Do not enter}; o Stage 2: The incumbent and the new entrant engage in simultaneous-move pricing game. If the potential entrant chooses to enter, she must incur a one-time fixed cost of entry, f, prior to engaging in price competition. This cost includes the advertising and marketing expenses which must be incurred prior to entry to guarantee a degree of customer loyalty that can match the incumbent's. The stage-2 price competition has the following structure: o The market that opens for competition has three types of consumers: Type-1 consumers locked into the incumbent firm's product; Type-2 consumers locked into the new entrant's product; Type-3 consumers with no loyalty to either firm. o Each firm can choose a price from {PH (high price), PL (low price)}. o Profit margins per unit of output are: $10 if price = PH; $6 if price = PL. The demand has the following structure: o If entry takes place, each firm has a loyal captive customer base demanding 2,000 units per year regardless of the price, and the floating demand for 6,000 units per year (price-conscious consumers buying from the lower-priced firm). o If entry does not take place, the incumbent firm has the monopoly over the entire market demand for 10,000 units per year. o Given that entry takes place, if both firms charge the same price, PH or PL, the floating demand will be divided equally between the two firms (hence, 3,000 units each). If the firms charge different prices, the firm charging the lower price will capture the entire floating demand of 6,000 units. Hence, if entry occurs in the first stage, the payoff table for the second stage post-entry game would look as follows: . Entrant PH PL PH (XXX, XXX)(xxx, XXX) Incumbent PL (xxx, xxx) (xxx, XXX) (a) What are the post-entry payoffs for the two firms if both firms charge high price, (PH, PH)? In other words, what are the payoff numbers in thousands of dollars going into the upper left cell in the above payoff table? (5 pts) (b) What are the post-entry payoffs for the two firms if incumbent charges high price and entrant charges low price, (PH, PL)? In other words, what are the payoff numbers in thousands of dollars going into the upper right cell in the above payoff table? (5 pts) (C) What are the post-entry payoffs for the two firms if incumbent charges low price and entrant charges high price, (PL, PH)? In other words, what are the payoff numbers in thousands of dollars going into the lower left cell in the above payoff table? (5 pts) (d) What are the post-entry payoffs for the two firms if both firms charge low price, (PL, PL)? In other words, what are the payoff numbers in thousands of dollars going into the lower right cell in the above payoff table? (5 pts)