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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- Styles In an auction, potential buyers compete for a good by submitting bids. Adam Gallinsky, a social scientist from NWU, compared eBay auctions in which the same good was sold. He found on average that, the higher the number of bidders the higher the sales price. For example, in two separate auctions of identical IPods, the one with the higher number of bidders brought the higher sales price. According to Gallinsky, this explains why smart sellers set absurdly low opening prices (the lowest price the seller will accept), such as 1 cent for a new IPod. Use the concept of consumer and producer surplus to explain this reasoning.arrow_forwardProblem 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_forward
- 3. 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_forward8. Suppose that you have a big test on Monday and you plan to spend the weekend studying. On Saturday, your friend invites you to spend the day at a water park. It's the last weekend that the park will be open for the year. You'd really like to go to the park, but you're worried that you won't have enough time to study on Sunday. What are the possible tradeoffs of each choice-going to the water park or staying home to study?arrow_forward4arrow_forward
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