Consider a market in which there are two firms: A and B. Each firm produces a differentiated product and chooses its price. Assume that each firm can set price equal to $60 or $70. The payoffs associated with each set of prices are shown. If the firms choose price simultaneously, then the Nash equilibrium price for firm A is. chooses price first and can commit to that price, then firm A will set its price equal to _ If firm A OA. $70; $60 ○ B. $70; $70 ○ C. $60; $70 OD. $60; $60 Firm B's Price $60 $70 $1800 $1650 $60 $1800 $2250 Firm A's Price $2250 $2200 $70 $1650 $2200
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- . Using a payoff matrix to determine the equilibrium outcome Suppose there are only two firms that sell tablets: Padmania and Capturesque. The following payoff matrix shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its tablets. Capturesque Pricing High Low Padmania Pricing High 9, 9 3, 15 Low 15, 3 7, 7 For example, the lower-left cell shows that if Padmania prices low and Capturesque prices high, Padmania will earn a profit of $15 million, and Capturesque will earn a profit of $3 million. Assume this is a simultaneous game and that Padmania and Capturesque are both profit-maximizing firms. If Padmania prices high, Capturesque will make more profit if it chooses a price, and if Padmania prices low, Capturesque will make more profit if it chooses a price. If Capturesque prices high, Padmania will make more profit if it chooses a price, and if Capturesque prices low, Padmania…Two firms with differentiated products are competing in price. Firm A and B face thefollowing demand curves: Q_A = 70 − 2P_A + P_B and Q_B = 120 − 2P_B + P_Arespectively. Assume production is costless.a. Give equations for and graph each firm’s reaction curve.b. If both firms set their prices at the same time, what is the Nash equilibriumprice, quantity, and profit for each firm?c. Suppose A sets its price first and then B responds. What price and quantitydoes each firm set now? Is it advantageous to move first?d. Compare the profits from part b and c. Which firm benefits more from thesequential price choosing? (Please do b-d, thanks :))Give typing answer with explanation and conclusion Suppose two firms produce identical good. The inverse demand curve for the good is: P = 240-Q, where Q is the total quantity produced by the two firms. Each firm has a constant marginal cost 20 of producing the good and fixed cost = 100. Find the Cournot Nash equilibrium of this game. What quantity will each firm produce? what will be the market price? What would be the profits of each firm?
- 10 logging firms use a forest to collect timber. Each firm i must choose how many trees to cut, gj The benefit of cutting a tree is 1000 -2G per tree, where G is the total quantity of trees cut in the forest. The marginal cost of cutting a tree is 10G. Firms do not face any fixed costs. In a Nash Equilibrium, O Each firm cuts 125 trees O Each firm cuts 125/10 trees O Each firm cuts 125/4 trees O Each firm cuts 5 treesConsider the following Cournot game with two firms i = 1, 2. The demand function is P(Q) = 100 − Q, with Q = q1 + q2. The production costs for firm i are: C(qi) = 400 + 2qi . Find the nash equilibrium of this game. plz answer correct calculatuon asap plz dont answer by peparWhich 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.
- Does each firm have a dominant strategy and if so what is it? What is the Nash equilibrium or equilibria (multiple equilibrium)? Show your logic, briefly. а. b.6. Consider two ice cream sellers competing at a beach that is 1000 metres long. Ice cream prices are fixed by the ice cream company, but companies can choose their locations simultaneously. Customers are located uniformly (spread out evenly on the beach) and do not like walking. The cost of walking every metre is the same (i.e. linear cost). Where will the ice cream stands be located in the Nash equilibrium if the locations are chosen simultaneously? а. b. What are the socially optimal locations, i.e. the best from society's point of view that minimise transportation cost? Are the locations in the Nash equilibrium different from the socially optimal locations? Explain. Suppose there are three ice cream sellers that locate simultaneously. Find the Nash equilibrium is there is one. Else, explain why there is none. (Focus on pure strategy Nash equilibria) С.Consider a market in which there are two firms: A and B. Each firm produces a differentiated product and chooses its price Assume that each firm can set price equal to $60 or $70. The payoffs associated with each set of prices are shown If the firms choose price simultaneously, then the Nash equilibrium price for firm A If firm A chooses price first and can commit to that price, then firm A will Firm B's Price is set its price equal to $00 $70 OA. $60, $60 OB. $70, $70 $2700 $2475 $60 OC 570, $60 OD. $60, $70 $2700 $3375 Firm A's Price $3375 $3300 $70 $2475 $3300
- It takes 3,000 households having average annual income of $50,000 within a 3-mile radius to support a grocerystore. There are actually 6,000 households within 3-miles of the Shop-Rite Grocery that have $50,000 per yearaverage incomes. Today, Shop-Rite is the only grocery store in this area. Using the concept of Nash Equilibrium inlocation, explain what the likely outcome will be for this area, given those conditionsLet 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.There are two firms in the market (duopoly). These two firms are competingsimultaneously. The first firm chooses its output level (x) by predicting the second firm’soutput (y). Let c denote the total cost function c(x) = x and c(y) = y. Also, let’s assumethat the inverse demand function is p(Y) = 7 - Y where Y = x + y. (1) Obtain the reactionfunction of the first firm. (2) Find the equilibrium (output and profit of each firm) whentwo firms simultaneously compete