1) In a Bertrand competition, firms compete on price. Given that both firms have the same marginal cost, the equilibrium price will be equal to the marginal cost, which is 5. Each firm will sell to half the population (5,000 people), so each firm's profit will be (Price - Marginal Cost) * Quantity = (5 - 5) * 5000 = 0. For collusion to be sustainable, the benefit from cheating today and getting a lower price in all future periods must be less than the benefit from colluding in all periods. This depends on the discount factor and the difference in profits, which are not given in the question.

2) This is a drastic innovation because it significantly reduces the marginal cost of production for the firm that adopts it. This will allow the firm to lower its price and potentially capture the entire market, significantly increasing its profits.

3) The firm with the lower marginal cost will set a price slightly below the other firm's price to capture the entire market. The equilibrium price could be slightly below 5. The firm would be willing to pay up to the difference in profits between the new and old technology for this innovation.

4) This innovation should not be prosecuted by Antitrust. While it does give one firm a significant advantage, it also leads to lower prices for consumers, which is generally considered a positive outcome in terms of economic welfare.

5) The game in normal form would have two strategies for each firm: adopt or not adopt the new technology. The Nash equilibrium would depend on the relative costs and benefits of each strategy for each firm. If the increase in profits from adopting the new technology is greater than the cost of adoption (10,000), then both firms will adopt the new technology. If not, then neither firm will adopt the new technology. If one firm's increase in profits is greater than the cost of adoption but the other's is not, then only one firm will adopt the new technology.

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1) In a Bertrand competition, firms compete on price. Given that both firms have the same marginal cost, the equilibrium price will be equal to the marginal cost, which is 5. Each firm will sell to half the population (5,000 people), so each firm's profit will be (Price - Marginal Cost) * Quantity = (5 - 5) * 5000 = 0. For collusion to be sustainable, the benefit from cheating today and getting a lower price in all future periods must be less than the benefit from colluding in all periods. This depends on the discount factor and the difference in profits, which are not given in the question.

2) This is a drastic innovation because it significantly reduces the marginal cost of production for the firm that adopts it. This will allow the firm to lower its price and potentially capture the entire market, significantly increasing its profits.

3) The firm with the lower marginal cost will set a price slightly below the other firm's price to capture the entire market. The equilibrium price could be slightly below 5. The firm would be willing to pay up to the difference in profits between the new and old technology for this innovation.

4) This innovation should not be prosecuted by Antitrust. While it does give one firm a significant advantage, it also leads to lower prices for consumers, which is generally considered a positive outcome in terms of economic welfare.

5) The game in normal form would have two strategies for each firm: adopt or not adopt the new technology. The Nash equilibrium would depend on the relative costs and benefits of each strategy for each firm. If the increase in profits from adopting the new technology is greater than the cost of adoption (10,000), then both firms will adopt the new technology. If not, then neither firm will adopt the new technology. If one firm's increase in profits is greater than the cost of adoption but the other's is not, then only one firm will adopt the new technology.

Knowee AI · Accepted Answer

1) In a Bertrand competition, firms compete on price. Given that both firms have the same marginal cost, the equilibrium price will be equal to the marginal cost, which is 5. Each firm will sell to half the population (5,000 people), so each firm's profit will be (Price - Marginal Cost) * Quantity = (5 - 5) * 5000 = 0. For collusion to be sustainable, the benefit from cheating today and getting a lower price in all future periods must be less than the benefit from colluding in all periods. This depends on the discount factor and the difference in profits, which are not given in the question.

2) This is a drastic innovation because it significantly reduces the marginal cost of production for the firm that adopts it. This will allow the firm to lower its price and potentially capture the entire market, significantly increasing its profits.

3) The firm with the lower marginal cost will set a price slightly below the other firm's price to capture the entire market. The equilibrium price could be slightly below 5. The firm would be willing to pay up to the difference in profits between the new and old technology for this innovation.

4) This innovation should not be prosecuted by Antitrust. While it does give one firm a significant advantage, it also leads to lower prices for consumers, which is generally considered a positive outcome in terms of economic welfare.

5) The game in normal form would have two strategies for each firm: adopt or not adopt the new technology. The Nash equilibrium would depend on the relative costs and benefits of each strategy for each firm. If the increase in profits from adopting the new technology is greater than the cost of adoption (10,000), then both firms will adopt the new technology. If not, then neither firm will adopt the new technology. If one firm's increase in profits is greater than the cost of adoption but the other's is not, then only one firm will adopt the new technology.

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