Consider the following the pricing game in which Greyhound and Trailways simultaneously choose the price of a seat on their buses from Philly to Allentown. Their choices are: Greyhound: $10, $20, or $50 Trailways: $30 or $40 Assume there are 100 customers who will split evenly between the bus lines if the prices are within $10 of each other. If the prices are more than $10 apart, then 70 customers will take the cheaper seats and 30 will take the more expensive seats. Write down the payoff matrix for this game. Remember, payoff revenue= (price per seat)x(number of customers)

Consider the following the pricing game in which Greyhound and Trailways simultaneously choose the price of a seat on their buses from Philly to Allentown. Their choices are: Greyhound: $10, $20, or $50 Trailways: $30 or $40 Assume there are 100 customers who will split evenly between the bus lines if the prices are within $10 of each other. If the prices are more than $10 apart, then 70 customers will take the cheaper seats and 30 will take the more expensive seats. Write down the payoff matrix for this game. Remember, payoff revenue= (price per seat)x(number of customers)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Suppose that two clothing manufacturers, Lands’ End and L.L. Bean, are deciding what price to charge for very similar field coats. The cost of producing these coats is $100. The coats are very close substitutes, so customers flock to the seller that offers the lowest price. If both firms offer identical prices, each receives half the customers. For simplicity, assume that the two firms have the choice of pricing at prices of $103, $102, or $101. The profit each firm would earn at various prices (Lands’ Ends Profit, LL Bean’s Profit) is attached in the payoff matrix below: a.) What is the Nash equilibrium and expected profits to LL Bean and Lands’ End of this game? b.) Suppose this is a mixed strategy game in which LL Bean has a 25% percent chance of choosing a priceof $101, a 25% chance of choosing price of $102, and a 50% chance of choosing $103, while Lands End has a1/3 chance of choosing each strategy. What’s the expected payoff to LL Bean? c.) Suppose that in hopes of raising…
Q5. A. Consider the following one period game between Yellow pages and a new competitor Spartan information. They earn revenues by charging businesses for their advertisement spaces. Their two strategies are: either charge a higher price (PH) or charge a lower price (PL) for advertising space. The payoffs from these strategies are provided for each firm. Is this a case of a prisoner's dilemma? Explain. Word limit: 100 words PH PL $20, $60 $40, $25 Рн $5, $70 PL $10, $45 Yellow Pages Spartan Info B. The local textile faces the faces the following supply curve for labor. Fill in the empty blanks. Wage rate per hour Units of labor Total Expenditure Marginal ($) supplied per hour Expenditure 4 10 40 NA 11 ? 12 ? ? 7 13 ? 8 14 ? ? The mill's demand curve for labor is a horizontal line at a wage of $17 per hour. How much labor will the mill demand? What will be the equilibrium wage rate?
Consider the example at the beginning of the chap- ter. Suppose that there are only two blockbusters jockeying for position: Warner Bros.'s Harry Potter and Fox's Narnia. Suppose that blockbusters released in November share a total of $500 million in ticket revenues, whereas blockbusters released in Decembershare a total of $800 million(a) Formulate the game played by Warner Bros. and Fox.
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Consider a Bertrand game between two firms. The demand for firm 1's product is given by q1 = 100 - 3p1 + 2p2. The demand for firm 2's product is given by q2 100- 3p2 +2p1. In terms of notation, p1 is the price of firm 1's product and pa is the price of firm 2's product. The two firms choose their prices simultaneously. For your calculations below, assume zero costs and that prices are measured in dollars per unit. Find the equilibrium prices. as b Derive the firms' best-response functions and explain whether the prices are strategic substitutes or complements in this game.
A secluded off-ramp on a highway through the Prairie of Prax has two gas stations, the only gas stations for miles, Northgoings and Southgoings. Suppose Northgoings and Southgoings must simultaneously display their prices, choosing between a high price and low price gas. The payoff matrix for this game, showing potential daily profit, is displayed below. Assume both stations know all of the information in the matrix, and that this is a one-time payoff. Northgoings Decisions High Price Low Price N: $500 N: $800 High Price S: $400 S: $50 Southgoings Decisions N: $100 N: $250 Low Price S: $700 S: $200 (a) According to our model of game theory, Northgoings has a dominant strategy to [Select] (b) According to our model of game theory, Southlgoings has a dominant strategy to [ Select] V (c) According to our model of game theory, the competitive outcome, or Nash Equilibrium, Northgoings will earn [ Select] and Southgoings will earn [ Select] (d) On the other hand, if these two companies…
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To advertise or not to advertise Suppose that Creamland and Dairy King are the only two firms that sell ice cream. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Dairy King Advertise Doesn't Advertise Creamland Advertise 10, 10 18, 2 Doesn't Advertise 2, 18 11, 11 For example, the upper right cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $18 million, and Dairy King will make a profit of $2 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit-maximizing firms. If Creamland decides to advertise, it will earn a profit of _________ million if Dairy King advertises and a profit of ________ million if Dairy King does not advertise. If Creamland decides not to advertise, it will earn a profit of __________ million if Dairy King advertises and a profit of _________…
part ii-viii