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- Exercise 6.7. Suppose two identical companies produce wood stoves and they are the only ones on the market. Its costs are given by: C1 (q1 )=200q1 and C2 (q2) = 200q2. And the inverse market demand curve is: P=2000-2Q, where Q =q1 + q2 Get the Cournot-Nash equilibrium. Calculate the profits of each company. Show graphically. Suppose that the two companies form a cartel to maximize joint profits. How many stoves will you produce? Calculate the profits of each company. Represent graphically. Managers now note that explicit agreements to collude are illegal. Each company must decide on its own whether to produce the amount of Cournot or that of the cartel.Two firms A and B manufacture video game consoles. Firm A's console is less tech- nologically advanced than that of firm B, and firm A knows that if consumers get to choose between both consoles at the same time, they would choose the console of firm B. Therefore, firm A's only chance to sell a large number of consoles is to release it at a different time than firm B. Firm B prefers to release the console at the same time as firm A to benefit from the hype and blog reviews. Suppose first that the firms have to commit to a release date in advance. Firms can choose to release the console either in October or in December. Therefore, while the game has some dynamic aspect, we can think of the choice of the release date as a simultaneous move game, represented by the payoff matrix below. A \ B October December October (10, 100) (50, 50) December (100, 50) (10, 100) 1) What are the pure strategy Nash Equilibria of this game (if any)? Explain carefully.Two firms A and B manufacture video game consoles. Firm A's console is less tech- nologically advanced than that of firm B, and firm A knows that if consumers get to choose between both consoles at the same time, they would choose the console of firm B. Therefore, firm A's only chance to sell a large number of consoles is to release it at a different time than firm B. Firm B prefers to release the console at the same time as firm A to benefit from the hype and blog reviews. Suppose first that the firms have to commit to a release date in advance. Firms can choose to release the console either in October or in December. Therefore, while the game has some dynamic aspect, we can think of the choice of the release date as a simultaneous move game, represented by the payoff matrix below. AB October October (10, 100) December (50, 50) December (100, 50) (10, 100) 1) What are the pure strategy Nash Equilibria of this game (if any)? Explain carefully.
- Suppose that Flashfry and Warmbreeze are the only two firms in a hypothetical market that produce and sell air fryers. The following payoff matrix gives profit scenarios for each company (in millions of dollars), depending on whether it chooses to set a high or low price for fryers. Warmbreeze Pricing High Low Flashfry Pricing High 11, 11 2, 15 Low 15, 2 8, 8 For example, the lower-left cell shows that if Flashfry prices low and Warmbreeze prices high, Flashfry will earn a profit of $15 million, and Warmbreeze will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfry and Warmbreeze are both profit-maximizing firms. If Flashfry prices high, Warmbreeze will make more profit if it chooses a price, and if Flashfry prices low, Warmbreeze will make more profit if it chooses a price. If Warmbreeze prices high, Flashfry will make more profit if it chooses a price, and if Warmbreeze prices low, Flashfry will make more profit if…Two firms produce and sell differentiated products that are substitutes for each other. Their demand curves are Firm 1: Q₁ = 40-3P₁+ P₂ Firm 2: Q₂ = 40-3P 2+ P1 Both firms have constant marginal costs of $2.30 per unit. Both firms set their own price and take their competitor's price as fixed. Use Nash equilibrium concept to determine the equilibrium set of prices. Since the firms are identical, they will set the same prices and produce the same quantities. In equilibrium, each firm will charge a price of $ and produce units of output. (Enter your responses rounded to two decimal places.) Each firm will earn a profit of $. (Enter your response rounded to two decimal places.)Two countries produce oil. The per unit production cost of Country 1 is C1 = $2 and of country 2 it is C2 = $4. The total demand for oil is Q = 40-p where p is the market price of a unit of oil. Each country can only produce either 5 units, 10 units or 15 units. The total production of the two countries in a Nash equilibrium is 10 15 20 25 30
- The inverse market demand for fax paper is given by P=100-Q. There are two firms who produce fax paper. Firm 1 has a cost of production of C1= 15*Q1 and firm 2 has a cost of production of C2=20*Q2 a) Suppose that firm play a Stackelberg game. First firm 1 sets the quantity in t=1, then, knowing which quantityfirm 1 has set, firm 2 chooses the quantity in t=2. What are the Stackelberg quantities and prices? What arethe profits od firm 1 and 2? Compared to part a) which firm benefits and which firm loses?Using a payoff matrix to determine the equilibrium outcome Suppose there are only two firms that sell smart phones, Flashfone and Pictech. 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 phones. Pictech Pricing High Low Flashfone Pricing High 11, 11 2, 18 Low 18, 2 10, 10 For example, the lower, left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $18 million and Pictech will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a ______ price, and if Flashfone prices low, Pictech will make more profit if it chooses a _____ price. If Pictech prices high, Flashfone will make more profit if it chooses a _____ price, and if Pictech prices low, Flashfone will make more…Consider a small town that has two grocery stores from which residents can choose to buy a gallon of milk. The store owners each must make a decision to set a high milk price or a low milk price. The payoff table, showing profit per week, is provided below. The profit in each cell is shown as (Store 1, Store 2). From the table below, if grocery store 2 sets a high price, what price should grocery store 1 set? And what will grocery store 1's payoff equal? Store 1 O Low price, $800 O High price, $650 O Low price, $100 O High price, $800 Low Price High Price Low Price (500, 500) (100, 800) Store 2 High Price (800, 100) (650, 650)
- Suppose that Fizzo and Pop Hop are the only two firms that sell orange soda. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Рop Hop Advertise Doesn't Advertise Advertise 8, 8 15, 2 Fizzo Doesn't Advertise 2, 15 11, 11 For example, the upper right cell shows that if Fizzo advertises and Pop Hop doesn't advertise, Fizzo will make a profit of $15 million, and Pop Hop will make a profit of $2 million. Assume this is a simultaneous game and that Fizzo and Pop Hop are both profit-maximizing firms. If Fizzo decides to advertise, it will earn a profit of $ million if Pop Hop advertises and a profit of $ million if Pop Hop does not advertise. If Fizzo decides not to advertise, it will earn a profit of $ million if Pop Hop advertises and a profit of $ million if Pop Hop does not advertise. If Pop Hop advertises, Fizzo makes a higher profit if it chooses If Pop Hop doesn't advertise, Fizzo makes a higher…Andy and Cathy are in the sporting good industry. Andy has developed a new lightweight soccer goal and is trying to decide whether to sell it at a high price or a low price. Selling the good at a higher price will provide higher profits but might entice Cathy to develop and sell a competing lightweight soccer goal. A lower price could deter entry from Cathy. After Andy sets his price, Cathy must decide to enter the market for the new lightweight soccer goal or not. Assume that both Andy and Cathy must make at least $5,000 to make the investment worthwhile. Which price will Andy charge? O high price ● low price What will Cathy do as a result of Andy's choice? O Cathy will enter the market. O Cathy will not enter the market. Indicate each person's final profit. Andy's profit: $ 7000 Cathy's profit: $ 7000 Andy: charges high or low price Andy charges the high price Andy charges the low price Cathy: enter or do not enter Cathy: enter or do not enter Cathy enters Cathy does not enter Cathy…Suppose that Flashfry and Warmbreeze are the only two firms in a hypothetical market that produce and sell air fryers. The following payoff matrix gives profit scenarios for each company (in millions of dollars), depending on whether it chooses to set a high or low price for fryers. Flashfry Pricing High Low For example, the lower-left cell shows that if Flashfry prices low and Warmbreeze prices high, Flashfry will earn a profit of $15 million, and Warmbreeze will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfry and Warmbreeze are both profit-maximizing firms. Warmbreeze Pricing High Low 9,9 2,15 15, 2 8,8 If Flashfry prices high, Warmbreeze will make more profit if it chooses a chooses a price. If Warmbreeze prices high, Flashfry will make more profit if it chooses a chooses a price. Considering all of the information given, pricing low True O False price, and if Flashfry prices low, Warmbreeze will make more profit if it price, and if Warmbreeze…