Duopoly: 1. Consider a duopoly game with 2 firms. The market inverse demand curve is given by P(Q) = 120-Q, where Q=q₁ + q₂ and q, is the quantity produced by firm qi i. The firm's long run total costs are given by C₁(q₁)=2q₁ and C₂(q2)=92, respectively. a. Determine the Nash Equilibrium for Cournot competition, in which firms compete based on quantity. What is each firm's best response as a function of the other firm's output? Graph these best response functions in on the same graph. Compute the associated payoffs for each firm. b. Determine the Nash Equilibrium for Bertrand competition, in which firms compete based on price and stand ready to meet market demand at that price. What is each firm's best response as a function of the other firm's price? Granh these bort rom

Duopoly: 1. Consider a duopoly game with 2 firms. The market inverse demand curve is given by P(Q) = 120-Q, where Q=q₁ + q₂ and q, is the quantity produced by firm qi i. The firm's long run total costs are given by C₁(q₁)=2q₁ and C₂(q2)=92, respectively. a. Determine the Nash Equilibrium for Cournot competition, in which firms compete based on quantity. What is each firm's best response as a function of the other firm's output? Graph these best response functions in on the same graph. Compute the associated payoffs for each firm. b. Determine the Nash Equilibrium for Bertrand competition, in which firms compete based on price and stand ready to meet market demand at that price. What is each firm's best response as a function of the other firm's price? Granh these bort rom

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Please no written by hand and no image (Bertrand's duopoly game with discrete prices) Consider the variant of the example of Bertrand's duopoly game in this section in which each firm is restricted to choose a price that is an integral number of cents. Take the monetary unit to be a cent, and assume that c is an integer and a>c+!. Is (c,c) a nash equilibrium of this game? Is there any other nash equilibrium?
. OPEC, the Organization of Petroleum Exporting Countries, was founded in 1969. Their original objective was to form a cartel to increase the price that they receive for their oil exports. Create a prisoner’s dilemma type game for two large members of OPEC (e.g. Saudi Arabia and Indonesia). Create numbers, where payoffs are total annual oil export revenues for each of these two countries. Verbally explain how you got your numbers. Find the Nash equilibrium. Based on this model, what strategy is in the oil exporters’ best interest (Nash or otherwise)? How do they make it happen? Create another prisoner’s dilemmamodel for all of OPEC on one side, and all non OPEC oil exporting nations on the other side. Create numbers, where payoffs are total annual oil export revenues for each of the two sides. Verbally explain how you created your numbers. Also create your numbers applying the fact that OPEC’s total production capacity is greater than total non OPEC exports…
What kind of barriers to entry exist in oligopoly? (Give any two examples)
the question is in the image attached.
Consider two firms in the Australia market. The table below depicts each firm’s profits, depending on what price both firms charge. a. Find (if any) each firm's dominant strategy. b. Which strategy does each firm choose in equilibrium when collusion (joint agreement) is not allowed? c. Suppose that collusion is allowed between the two firms. Could these firms benefit from collusion? Why or why not?
Part 2: First Long Question There are two French bakeries in a small town: Le Meilleur Croissant (C), owned by Camille, and Le Meilleur Pain Au Chocolat (P), owned by Paul. In each period of an infinitely repeated game, they compete a la Bertrand, with market demand given by Q(pmin) = 10 - Pmin- Even though they sell identical goods, they have different marginal costs: cc = 2 and %3D Cp = 4 (Paul bakes just as well but is bad at business decisions). There are no fixed costs. Question 6 Turns out that Camille and Paul are married, and so they choose prices to maximize the joint profits of the two firms. Because both love baking and love each other, they also jointly decide that both firms should be selling positive amounts in their optimal plan. What prices do they choose? Pc = 6, pp = 11 Pc = 6.5, pp = 6.5 Pc = 6, pp = 6 Pc = 7, pp = 7 %3D O pc = 6, pp = 7
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?
Let ci be the constant marginal and average cost for firm i (so that firms may have different marginal costs). Suppose demand is given by P=1-Q. Calculate the Nash equilibrium quantities assuming there are two firms in a Cournot market. Also compute market output, market price, firm profits, industry prof- its, consumer surplus, and total welfare. Represent the Nash equilibrium on a best-response function diagram. Show how a reduction in firm 1’s cost would change the equilibrium. Draw a representative isoprofit for firm 1.
8. Two firms, the only firms in the market, sell the same product and have the same marginal cost. They realise they would be better off if they didn't compete with each other. They enter an alternating offers bargaining game to decide how they will divide the monopoly profit, n. They have three periods to come to an agreement. If no agreement is reached after three periods, the firms will compete simultaneously in prices. The firms toss a coin to decide who makes the first offer in the bargaining game. Firm 1 wins and decides to go first. Each firm has a discount factor o. a) Draw the game tree. b) What is the subgame perfect equilibrium when 8 = 0.5? c) What is the equilibrium payoff for each firm? d) Was Firm 1 wise to opt to make the first offer? Explain your answer. %3D
QUESTION 13 Consider a market where two firms (1 and 2) produce differentiated goods and compete in prices. The demand for firm 1 is given by D₁(P₁, P2) = 140 - 2p1 + P2 and demand for firm 2's product is D2 (P1, P2) 140 - 2p2 + P1 Both firms have a constant marginal cost of 20. What is the Nash equilibrium price of firm 1? (Only give a full number; if necessary, round to the lower integer; no dollar sign.)
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Consider the payoff matrix below representing two firms engaged in Bertrand Competition. Firm A is player 1 and Firm B is player 2. High price Low price High price 10, 12 -1, 13 Low price 12, 2 0, 3 What is Firm A's dominant strategy? Question 14Answer a. High price b. Low price c. Firm A does not have a dominant strategy