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- LuLu Restaurant (LR) and Lucy Café (LC) have an implicit agreement to keep prices high so that both can earn $30,000 profit a year. Below is their complete payoff matrix in terms of thousands of dollars of profit per year and strategic actions a and b. LR’s payoffs are on the left and LC’s are on the right. However, in 2014 new owners/managers have taken over both LR and LC and have to decide whether to abide by the implicit agreement or to cheat.
LC | ||||||
a | b | |||||
LR | a | 30, 30 | 25,32 | |||
b | 32, 25 | 26, 26 |
- Would this be a Nash equilibrium? Why or why not?
- Is this game a prisoner’s dilemma? Why or why not?
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- LuLu Restaurant (LR) and Lucy Café (LC) have an implicit agreement to keep prices high so that both can earn $30,000 profit a year. Below is their complete payoff matrix in terms of thousands of dollars of profit per year and strategic actions a and b. LR’s payoffs are the left and LC’s are on the right. However, in 2014 new owner/managers have taken over both LR and LC and have to decide whether to abide by the implicit agreement or to cheat. LC a b LR a 30, 30 25,32 b 32, 25 26, 26 What strategy will each firm choose and what will be its profit? Is this a Nash equilibrium? Why or why not? Would it be worth it for these new owners/managers to find reach an accommodation and go back to the old implicit agreement? Would this be a Nash equilibrium? Why or why not? Is this game a prisoner’s dilemma? Why or why not?The payoff matrix of economic profits, below, displays the possible outcomes for Coles (C) and Woolworth (W) who are involved in a game of whether to implement or not implement new warehouse technologies. The payoffs in dollars are indicated in the matrix below, and the companies are unable to communicate with each other. Coles (C) Implement Not Implement C: $30 million C: $10 million Implement W: $30 million W: $30 million Woolworth (W) C: $20 million C: $10 million Not Implement W: $10 million W: $20 million (a) With reference to the payoff matrix, work out whether each company has a dominant strategy and what that dominant strategy is, if it exists. (b) Explain with reference to the above scenario, what the Nash Equilibrium is, if there is any? (c) Is this a Prisoner's dilemma game? Explain why or why not.Dan Murphy's (DM) and BWS are the only two liquor chains in Australia that hold the rights to sell a popular new beer named Victoria Sweeter (VS). Both Dan Murphy's and BWS are contemplating between charging a high price ($60 per case) or a low price ($40 per case). The payoff matrix below shows all possible scenarios and outcomes for the two firms. BWS Charge $60 per case Charge $40 per case Dan Murphy's (DM) Charge $60 per case DM: $30,000 profitBWS: $25,000 profit DM: $13,000 profitBWS: $38,000 profit Charge $40 per case DM: $45,000 profitBWS: $12,000 profit DM: $19,000 profitBWS: $20,000 profit * Profits reported in the above table are monthly figures on the Victoria Sweeter (VS) beer only. Required: (a) Identify the dominant strategy for Dan Murphy's in this game. Show a detailed analysis to prove why it is the dominant strategy (b) Identify the non-cooperative* Nash equilibrium for this game. (* Non-cooperative means that each firm makes their…
- Collusive outcome versus Nash equilibrium Consider a remote town in which two restaurants, All-You-Can-Eat Café and GoodGrub Diner, operate in a duopoly. Both restaurants disregard health and safety regulations, but they continue to have customers because they are the only restaurants within 80 miles of town. Both restaurants know that if they clean up, they will attract more customers, but this also means that they will have to pay workers to do the cleaning. If neither restaurant cleans, each will earn $14,000; alternatively, if they both hire workers to clean, each will earn only $11,000. However, if one cleans and the other doesn't, more customers will choose the cleaner restaurant; the cleaner restaurant will make $18,000, and the other restaurant will make only $6,000. Complete the following payoff matrix using the information just given. (Note: All-You-Can-Eat Café and GoodGrub Diner are both profit-maximizing firms.) Attached the 08 tables need a solution If…The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. (a) At the initial equilibrium, what is total surplus (consumer surplus plus producer surplus)? Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (b) The price? (c) The output? (d) Total profit? (e) The resulting deadweight loss from River Company operating as a…The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (e) The resulting deadweight loss from River Company operating as a monopoly?
- The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (c) The output? (d) Total profit?The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (b) The price?Smith Cable, Inc. and Jones Glass Fibre Works are the two largest suppliers of a specialty fiber-optic cable used by NASA and military defense contractors. On the first day of every month, both companies post on the Internet a list of prices for their various fiber-optic cable products-either high prices or low prices. The following payoff table provides the monthly profits for Smith and Jones: Jones Glass Fibre Works High prices Low prices A C Smith Cable, Inc. High prices $7, S4 B D Low prices $2, $5.5 $8, S1 $4, $2 Payoffs in dollars of monthly profit (a) Suppose the pricing decision is made sequentially. Using the payoff table, complete the two sequential game trees. In the first game tree, let Smith Cable, Inc. make the first pricing decision. In the second game tree, let Jones Glass Fibre Works go first. After you complete the two game trees, solve both sequential decision games using the roll-back method. Circle the solution path on each game tree. (b) Do Smith Cable, Inc. and…
- Home Depot and Lowe's are in a price war on refrigerators. Refrigerators at Home Depot cost $1,000 with a price matching guarantee of a 10% rebate on the price difference with Lowe's, whose refrigerators cost $800. Is this price matching guarantee with a 10% rebate beneficial to the consumer? No, eventually both stores will offer the price matching with rebate and post the price of refrigerators at $1,000, the High Price. Yes, consumers will be able to buy their refrigerators at Home Depot for $780. No, both Lowe's and Home Depot will stop selling refrigerators. O Yes, consumers will be able to buy refrigerators at either store at the Low Price of $800, the lower posted price.A duopoly faces a market demand of p= 120 - Q. Firm 1 has a constant marginal cost of MC' =S10. Firm 2's constant marginal cost is MC = S20. Calculate the output of each firm, market output, and price if there is (a) a collusive equilibrium or (b) a Cournot equilibrium. The collusive equilibrium occurs where q, equals and q, equals (Enter numeric responses using real numbers rounded to two decimal places) Market output is The collusive equilibrium price is S The Cournot-Nash equilibrium occurs where q, equals and q2 equals Market output is Furthermore, the Cournot equilibrium price is SThree firms compete in the style of Cournot. The market demand is given by Q(P) = 9 - P. There are no fixed cost and each firm s marginal cost is constant. Firm 1's marginal cost is MC1 = equilibrium if and only if 1, firm 2's marginal cost is MC2 = 2. Let MC3 be the marginal cost of Firm 3. All three firms will produce a strictly positive quantity in the Nash МС3 4. МС3 < 1. МС3 < 4. МС3 < 2.