4. There are two different market under the Galata Bridge. One of them is fried fish sandwich and the other is pickle. Consider two Cournot competitors selling goods with demand curves given by: PF 100-qF+0.5qP Pp=100-qp +0.5qF Here F and P indices refer fish and pickle markets respectively. For the sake of simplicity, assume that there is only one seller in each market. Suppose each firm has a marginal and average cost of $10. a. Using demand equations what can you say these two goods? Are they complement, substitutes or irrelevant? How do they differ from the standard Cournot model? b. Find the equilibrium prices and quantities. c. Suppose the two firms merge. By doing so, the newly merged firm will act to maximize the joint profits Find the joint-profit maximizing price and quantities.
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- 2. The market for dark chocolate us characterized by Cournot duopolists - Honeydukes and Wonka industries. The market demand for dark chocolate is:P = 8 - 0.005Qdwhere P is the price per bar in dollars and Qd is dark chocolate's daily quantity demanded in bars (use qh to represent the quantity of dark chocolate sold by Honeydukes and qw to represent the quantity of dark chocolate sold by Wonka Industries). Honeydukes has a constant marginal cost of $2.50 per bar, while Wonka Industries has a constant marginal cost of $3.00 per bar. The firms move simultaneously in choosing their profit-maximizing quantity of output.a. Given the firms move simultaneously, what is the equation for Honeydukes' reaction function with qh expressed as a function of qw?b. Given the firms move simultaneously, what is the equation for Wonka's reaction function with qw expressed as a function of qh?c. What quantity of dark chocolate will each firm produce in equilibrium and what price will be established for a…1. Consider two duopolists who each have a constant marginal cost c = e2 = 3 and face inverse demand P = 15 – Q,where Q = Q1 + Q2 is the total output of both firms. 1. Find the Cournot equilibrium quantity for each firm, the resulting market price, and the profits for each firm. 2. Find the Stackelberg equilibrium quantities for each firm, and the price, and the profits for each firm supposing that Firm 1 is the industry leader. 3. Suppose that Firm 2 figures out a way to lower its marginal cost to ez = 0 while firm 1 still has a marginal cost equal to 1: c = 3. How does this affect the Cournot equilibrium quantities, price, and profits? 4. How does this affect the Stackelberg equilibrium (with Firm 1 still as the leader) quantities, price, and profits?Problem 1. HHI in the Bertrand Triopoly Equilibrium It's a Bertrand Triopoly - hence we know there are 3 firms in the industry-in-question, who competes in "price". The inverse demand functions for Firm 1, 2, and 3 are as follows: q1 = 40 - 1.5p1 +0.5p2 +p3 q2 = 40 + 1.5p1 - 3p2+p3 q3 = 40 + 2p1 + 1.5p2 - 4p3 For each firm, the marginal cost of production is $2.50/unit produced and sold. Apparently, the firms' products are differentiated. You cannot impose symmetry across firms. Therefore, please solve each firm's profit maximization problem, impose equilibrium, and solve for each firm's "action" in equilibrium. After that, please calculate the Herfindahl- Hirschman Index (HHI) in the industry in equilibrium.
- 1.1. Optimal pricing. There two consumers, Alice and Bob, and two kinds of products A and B. Alice and Bob have valuations according to the table AB Alice 34 62 Bob 55 90 You sell the products and it costs you nothing to produce them. You know this table, but when Alice or Bob walk into your store, you cannot tell who they are. That is, if Alice walks in, you do not know if perhaps it is Bob instead who walked in, and vice-versa. What is the optimal pricing plan for the two products?3. for two firms that share a market if demand p=300-q where q is the total quantity sold and fixed cost is 300 and MC is 20 and suppose if the firms are in collusion and the first firm decides to cheat ,how much will the first firm produce ,what will its "p " be and profit be and how much will it exceed the second firm.Also then if both firms collude but both cheat then what will each firm make profit?4. There are two different market under the Galata Bridge. One of them is fried fish sandwich and the other is pickle. Consider two Cournot competitors selling goods with demand curves given by: PF = 100 - qF + 0.5qp Pp = 100 - qp + 0.5qF Here F and P indices refer fish and pickle markets respectively. For the sake of simplicity, assume that there is only one seller in each market. Suppose each firm has a marginal and average cost of $10. a. Using demand equations what can you say these two goods? Are they complement, substitutes or irrelevant? How do they differ from the standard Cournot model? b. Find the equilibrium prices and quantities. c. Suppose the two firms merge. By doing so, the newly merged firm will act to maximize the joint profits Find the joint-profit maximizing price and quantities. d. Are the combined profits greater or smaller from merging? That is, is merging profitable for the firms? e. Are consumers better or worse off with the firms merging? How does this compare…
- 6. Two firms, Firm 1 and Firm 2 and are competing in quantities. The demand they are facing is given by p=1-91-92, with p being the price of the good, and 9₁ and 92 the quantities produced by firm 1 and 2 respectively. The total cost of firm 1 is TC1 (91) = 9₁ and the one of firm 2 is TC₂ (92) = 292. (a) Find the Cournot equilibrium. (b) The government decides that it wants to make the market more competitive. As such it decides to offer to Firm 1 a license to become the leader in the market. The licence costs F, and if Firm 1 buys it, it will be allowed to choose its quantity before Firm 2. What is the maximum Firm 1 would be willing to pay for this license?1. Consider a market with three firms (i = 1, 2, 3), which have identical marginal costs C = c2 = C3 = 0. The inverse demand function is given by p = 1- Q, where Q = q1 + 92 + q3. a. Compute the Cournot equilibrium, i.e., the market price and quantity. b. Assume that two of the three firms merge. Show that the profit of merging firms decreases. c. What happens to the market price if all three firms merge compared to part (a)?2) ABC Corp. is selling a children's alphabet book and an iPad app. Suppose the reservation prices for four consumers are given by the table below: Desmond Cost Betsy 12 Carolyn 7 Aaron 4 3 Вook 11 5 App 2. 9. 10 a) If ABC prices them separately, what prices should it charge, and how much profit does it make? b) If the Corp. prices the products as a bundle, and only offers the bundle, what price should it charge and how much profit does it make? c) If ABC Corp. offers the book or app separately but also offers a bundle, what prices should it charge, and how much profit does it make?
- 3. Reuben and Simeon are duopolists producing jeans in a differentiated goods market. The market demand for Reuben's jeans is y₁ = 75 − P₁ + P2, while the market demand for 1 1 Simeon's jeans is y₂ = 75 − P2 + ₂P₁. Reuben's cost function is C₁(y₁) = 75y₁ while Simeon's cost function is C₂ (y₂) = 75y2. a) Calculate the Bertrand equilibrium in this market. Indicate each firm's price, output level, and profits. (Answer: p₁ = 100 USD, y₁ = 25 units) b) Find prices and output levels that would maximize joint profits, and calculate the maximum joint profits. c) Draw a payoff matrix using the results from a) and b) and determine the Nash equilibrium.Help me please1. Two firms (A and B) play a competition game (i.e. Cournot) in which they can choose any Qi from 0 to ¥. The firms have the same cost functions C(Qi) = 10Qi + 0.5Qi2, and thus MCi = 10 + Qi. They face a market demand curve of P = 220 – (QA + QB). a. Assume firm A chooses quantity first. Frim B observes this choice and then chooses its own quantity. What is Frim B's profit as a function of QA and QB? b. Firm B has MRB = 220 – 2QB – QA. What is firm B’s best response to an arbitrary QA selected by firm A? c. Given that firm A expects firm B’s best response, what is firm A’s profit as a function of QA? (Hint: the only unknown variable in the profit function should be QA) d. Firm A has MRA = 150 – 4QA/3. What are the equilibrium QA and QB selected in this game? e. What is the equilibrium price, and how much profit does each firm collect?