What is the Nash equilibrium and expected profits to LLB and LE of this game? If this was a mixed strategy game in which LLB has a 25% percent chance of choosing a price of $101, a 25% chance of choosing price of $102, and a 50% chance of choosing $103, while LE has a1/3 chance of choosing each strategy. What’s the expected payoff to LLB? Suppose that in hopes of raising prices, LLB announces a price of. $103 for its coat before LE announces their prices. Do you think this strategic move be successful for LLB?

What is the Nash equilibrium and expected profits to LLB and LE of this game? If this was a mixed strategy game in which LLB has a 25% percent chance of choosing a price of $101, a 25% chance of choosing price of $102, and a 50% chance of choosing $103, while LE has a1/3 chance of choosing each strategy. What’s the expected payoff to LLB? Suppose that in hopes of raising prices, LLB announces a price of. $103 for its coat before LE announces their prices. Do you think this strategic move be successful for LLB?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter15: Imperfect Competition

Section: Chapter Questions

Problem 15.3P

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Two firms produce identical products at zero cost, and theycompete by setting prices. If each firm charges a low price,then both firms earn profits of zero. If each firm charges ahigh price, then each firm earns profits of £30. If one firmcharges a high price and the other firm charges a low price,the firm that charges the lower price earns profits of £50, andthe firm charging the higher price earns profits of zero. (a) Which oligopoly model best describes this situation?(b) Write this game in normal form.(c) Suppose the game is infinitely repeated. Can theplayers sustain the "collusive outcome" as a Nashequilibrium if the interest rate is 50 percent? Explain. Please answer the a, b and c parts.
HP and Sony compete primarily by price. Each firm must choose either a high price or a low price simultaneously. Use the following information to create the profit matrix: If HP and Lenovo both set high prices, HP’s profit is $40 million and Sony’s profit is $35 million. If HP sets high price and Sony sets low price, HP’s profit is $25 million and Sony’s profit is $40 million. If HP sets low price and Sony sets high price, HP’s profit is $50 million and Sony’s profit is $10 million. If HP and Sony set low prices, HP has $20 million and Sony has $15 million. Please answer the follow questions: Does Sony have a dominant strategy? HP? If so, which one? If HP and Sony maximize their profits non-cooperatively, what is the Nash-equilibrium for this profit matrix? Instead, if HP and Sony maximize their joint profits cooperatively, what is the equilibrium? Assume they keep their agreements.
GoJex and Grav are both considering whether to charge a low price or a high price to their customers. If both firms charge a low price, each firm will make a profit of $5 million. If GoJex charges a low price while Grav charges a high price, GoJex will make a profit of $25 million and Grav will only make a profit of $2 million. On the other hand, if GoJex do not charges a low price while Grav does, GoJex will make a profit of $2 million while Grav will make a profit of $25 million. Finally, if both firms charge a high price, each firm will make a profit of $15 million. a. Use the information above to construct a payoff matrix for GoJex and Grav and What is the dominant strategy for each firm? Explain. b. Based on your answer (point b) above, what is the Nash equilibrium for this game? Explain. c. What is the cooperative (collusion) outcome? Explain
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Three firms compete in the style of Cournot. The inverse demand is P(Q) = a - Q. Scenario 1: All three firms have the same constant marginal cost MC = c. Scenario 2: Firm 1 has MC = 0.5c, Firm 2 has MC = c, and Firm 3 has MC = 1.5c. Assume that a > 3c. Which of the following is correct? (Price means the price in Nash equilibrium.) O Price in scenario 1> Price in scenario 2 O Price in scenario 2> Price in scenario 1 O Price in scenario 1 = Price in scenario 2 O Any of the first three options is possible depending on the value of a O Any of the first three options is possible depending on the value of a and c.
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1. 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?
Dell and Sony compete primarily by price. Each firm must choose either a high price or a low price simultaneously. Use the following information to create the profit matrix: If Dell and Sony both set high prices, Dell’s profit is $40 million and Sony’s profit is $35 million. If Dell sets high price and Sony sets low price, Dell’s profit is $25 million and Sony’s profit is $40 million. If Dell sets low price and Sony sets high price, Dell’s profit is $50 million and Sony’s profit is $10 million. If Dell and Sony set low prices, Dell has $20 million and Sony has $15 million. Please answer the follow questions: Does Sony have a dominant strategy? Dell? If so, which one? If Dell and Sony maximize their profits non-cooperatively, what is the Nash-equilibrium for this profit matrix? Instead, if Dell and Sony maximize their joint profits cooperatively, what is the equilibrium? Assume they keep their agreements.
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?
QUESTION 1A) Two cournot competitors face inverse demand P = 50 - Q. Where, Q = q1+q2, is the total output of firms 1 and 2. What are the equilibrium output levels for q1 and q2, If firm 1 marginal cost is 1, and firm 2's marginal cost is 12? QUESTION 1B. Continuing with the inverse demand, P = 50 - Q, if each firm has a marginal cost of 0, what is the difference between the equilibrium price under Cournot competition and under Bertrand competition? b. C. d. a. The Cournot price is higher than the Bertrand price by 50. The Cournot price is lower than the Bertrand price by 25. The Cournot price is higher than the Bertrand price by 50/3. Equilibrium prices under Cournot and Bertrand are the same, so the difference is zero.
6. Two firms, Firm 1 and Firm 2 and are engaged in Cournot competition. The inverse demand they are facing is given by p = 50-q, with p being the price of the good, and q being total quantity demanded, given by q = 91 +92, where 9₁ and 92 are the productions of firm 1 and 2 respectively. The total cost of firm 1 is TC1(91) = q and of firm 2 is TC₂ (92) = 292. (a) Find the Cournot equilibrium and the price that corresponds to it. (b) Find the Lerner Index of each firm.
In a market there are five firms, all have a total cost curve equal to CT = 2q. The market demand is Q = 500 - 5P. How much profit would each firm get if they collude and share the market equitably? What is the profit to each firm if they agree to collude, but one firm misleads the others charging a slightly lower price? What is the profit if all firms do not collude and compete via price?