7. 2 firms are engaged in Bertrand competition. They each face the following cost curve C(Q) = 3Q²+3. Market demand is representated by D(P) = 50- P. What is the Bertrand Nash equilibrium? Why is this a Nash Equilibrium?
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- The market demand function is Each firm has a marginal cost of m = $0.28. Firm 1, the leader, acts before Firm 2, the follower. Solve for the Stackelberg-Nash equilibrium quantities, prices, and profits. The Stackelberg-Nash equilibrium quantities are The Stackelberg-Nash equilibrium price is Profits for the firms are and 92 p = $ π2 $ = Q=7,000 1,000p. 91 and units units. (Enter your responses as whole numbers.) (Enter your response rounded to two decimal places.) π₁ = $ (Enter your responses rounded to two decimal places.)The demand for a product is Q = a - P/2. If there are 4 firms in an industry and marginal cost is MC = 20, then the price in Nash equilibrium is P = 56. What is a?1. The market (inverse) demand function for a homogeneous good is P(Q) = 10 - Q. There are two firms: firm 1 has a constant marginal cost of 2 for producing each unit of the good, and firm 2 has a constant marginal cost of 1. The two firms compete by setting their quantities of production, and the price of the good is determined by the market demand function given the total quantity. a. Calculate the Nash equilibrium in this game and the corresponding market price when firms simultaneously choose quantities. b. Now suppose firml moves earlier than firm 2 and firm 2 observes firm 1 quantity choice before choosing its quantity find optimal choices of firm 1 and firm 2.
- QUESTION 10 Suppose there are two firms that produce an identical product. The demand curve for the product is given by P = 62 - Q where Q is the total quantity produced by the two firms. Both firms choose their individual quantities qı20 and q22 0 simultaneously. Each firm has a marginal cost of 37. What is the market price when both firms produce the quantities in the unique Nash equilibrium? Give your answer as a number to two decimal places.is Q = a - P/2. If there are 4 firms in an industry and marginal cost is MC = 20, then the price in Nash equilibrium is P = 56. What is a? Use the formula below, (P -MC)/P =1/nµ2) Suppose the Market Demand function is Q = 60,700 – 520P. The two firms in the market compete under Bertrand Competition. The Marginal Cost (MC) for the two firms is MC = $39.90. What is the market price at the Nash Equilibrium?
- Please answer the blank spaces below: 1. At the Nash equilibrium, Local Oil earns a profit of $______ m, and Oil Giant earns a profit of $_______ m. [enter the numbers only]Under Bertrand competition, O the Nash equilibrium is marginal cost pricing (the perfectly competitive outcome) O the Nash eqt Nibrium is monopoly pricing there are multiple Nash equilibria O there is no set of strategies that lead to a Nash equilibriumFrom the bank of terms match the letter that corresponds to the appropriate concept/description. Bank of terms Letter A Perfect Bayesian Nash equilibrium Bayesian Nash equilibrium Nash equilibrium Competition à la Cournot Competition à la Bertrand В C E Herfindahl index F Perfect competition G Consumer urplus Lerner index H I Principal-agent model Natural monopoly Strategic complements Conjectural variations approach Strategic substitutes J K L M N Concept/description Competition in quantities Price taking behavior Index of maket power Write letter Measure of welfare Solution for a static game with incomplete information Competition in prices Measure of intensity of competition Manager and business owner work relationship Best response functions that slope upwards Estimation of market power
- Mavi and Diesel both make basic blue jeans. The demand curves for the two firms are given by Qm=135,000−3000Pm+1200Pd Qd=154,000−4000Pd+1000Pw suppose it is a price equilibrium for Mavi to set a price of $30 per pair of jeans and Diesel to set a price of $25. What is marginal cost for Mavi What is marginal cost for DieselWhich statement best describes a Nash equilibrium applies to price competition? 1. Two firms cooperate and set the price that maximizes joint profits. 2. Each firm automatically moves to the purely competitive equilibrium because it knows the other firm will eventually move to that price away. 3 given the prices chosen by its competitors, no firm has an incentive to change their prices from the equilibrium level. 4. One dominant firm sets the price, and the other firms take that’s price as if it were given by the market. 5. None of the above.Explain the meaning of Nash equilibrium when firms are competing with respect to price. Why is the equilibrium stable? Why don’t hey raise prices to maximize joint profits?