Principles of Economics, 7th Edition (MindTap Course List)
7th Edition
ISBN: 9781285165875
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 22, Problem 6PA
Subpart (a):
To determine
Application of Borda count and Arrow’s impossibility theorem.
Subpart (b):
To determine
Application of Borda count and Arrow’s impossibility theorem.
Subpart (c):
To determine
Application of Borda count and Arrow’s impossibility theorem.
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Ana, Emma, and Greta are deciding what to do on a weekend getaway. They each suggest a first choice and then vote on the options. Their first choice, second choice, and third choice preferences are as shown in the following table.
Circular preferences
1st Choice
2nd Choice
3rd Choice
Ana
Beach
Mountain Biking
Canoeing
Emma
Mountain Biking
Canoeing
Beach
Greta
Canoeing
Beach
Mountain Biking
Based on the table explain why they will have a hard time reaching a decision. Do they prefer mountain biking to canoeing? What about canoeing compared to the beach? What about the beach compared to the original choice of mountain biking?
3
Chapter 22 Solutions
Principles of Economics, 7th Edition (MindTap Course List)
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- Problem 1. Andy (consumer A) and Red (consumer B) growing old together on a remote island on which only fish (good 1) and coconut (good 2) are available for consumption. Both Andy and Red have Cobb-Douglas preferences. That is, consumer i has u(xi, z) = (a)¹/2 (1)¹/2, where x is consumer i' s good j consumption with j = 1, 2. Also, Andy's ini- tial endowment is w (w, w) (1,3) while Red's initial endowment is w = (wi, wz) = = = = (3, 1). (a) Draw the Edgeworth box for this economy. Mark the point indicating the initial endowment of each consumer. (b) Draw the contract curve for this economy in an Edgeworth box (a graphical represen- tation is sufficient). Explain if it is Pareto efficient for Andy and Red to consume their endowments. (c) What is the set of allocations that could be the outcome under barter in this economy? (d) Let the price of fish be p₁ while the price of coconut be normalized to 1 without loss of generality. For each consumer, solve the utility maximization problem,…arrow_forwardBleecker Street runs from A to B, as shown in the diagram. The lone convenience store currently in operation along this street is at A. An entrepreneur who wants to open another store in the neighborhood is weighing a choice between the only two available locations, C and D. If customers, who are uniformly distributed along Bleecker Street, always shop at the store nearest to where they live, which of the locations C or D would be optimal from the perspective of customers and why? A C D B O Location D because that would minimize the average travel time for customers. O Location D because that would mean each store would get an equal share of the market. O Location C because that would give the new entrepreneur higher profits. O Locations C and D would be equally attractive because consumers have no reason to care about the relative profitability of different entrepreneurs.arrow_forward3. Anthony loves going to the opera while Becky loves watching football. The following diagram shows the payoffs for their choice of activity. For example, if Anthony chooses opera and Becky chooses football, then the activities are valued at £10 to Anthony and £20 to Becky, respectively. Assume that they can only choose one activity each. Based on this information, determine whether each of the following statements is true or false. Becky Opera Football Opera 80, 10 0,0 Football 10, 20 20, 40 Anthony (a) There are two Nash equilibria: (Opera, Opera) and (Football, Football). (b) If Anthony announces that he will choose Opera and sticks to it, then (Opera, Opera) will be chosen. (c) If Anthony offers £20 to Becky for coming to the opera with him, then (Opera, Opera) may be chosen. (d) If Anthony offers £50 to Becky for coming to the opera with him, then (Opera, Opera) will definitely be chosen.arrow_forward
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- Case No. 1 Emma likes to call her friend regularly during the month, but he lives abroad. A call costs him $5/minute. The psychological benefit (measured in dollars) of the first 100 minutes of call is $10/minute, that of the next 100 minutes, $5/minute, that of the next 100 minutes, $2.5/minute and finally, that of the next 100 minutes, also $2.5/minute. A) If Emma calls her friend 100 minutes a month, does she make a net gain? B) What is the number of call minutes per month that maximizes Emma's satisfaction? C) If we use Emma's monetary measure of satisfaction, what is the amount of her satisfaction? D) What should be the price per minute of a call for Emma to be at the maximum satisfaction by choosing to call 400 minutes per month?arrow_forwardSean is arguing with his girlfriend, Yvette. They have been going out for a little more than two years. YVETTE: I'm leaving you, Sean. Get over it. SEAN: Are you saying that being single will make you happier than you've been with me? Speaking personally, I think the utility we've had in this relationship was much more than you could have had if you'd been single this whole time! YVETTE: I had taken an economics class and the word "utility" rings a bell. It's not that at all. We've had a fine time. It's that the utility I would get by continuing our relationship isn't worth it anymore. SEAN: I've never been dumped by someone citing the law of before. You're a piece of work, you know that? Yvette doesn't hear. She has already walked off, leaving Sean feeling like something of a sunk cost.arrow_forwardwhich is the right answerarrow_forward
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