Bundle: Principles of Economics, Loose-leaf Version, 8th + LMS Integrated MindTap Economics, 2 terms (12 months) Printed Access Card
8th Edition
ISBN: 9781337607735
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
Bundle: Principles of Economics, Loose-leaf Version, 8th + LMS Integrated MindTap Economics, 2 terms (12 months) Printed Access Card
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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_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
- On your way home from Super Groceries, your car breaks down. It is a hot summer day and you have nobody to call. With little time before the food spoils, you decide to prioritize what to carry on the walk home. You choose to take three items with you. Since you will need all five items today, you will replace the two abandoned items at the corner store near your house, Convenient Grocers. The table contains the prices you paid for each good at Super Groceries and the prices you will need to pay at Convenient Grocers to replace the goods. Which three items should you save? OOOOO vegetables fruits eggs ham milk Item milk eggs ham vegetables fruits Price at Super Groceries $3.75 $3.80 $2.95 $3.80 $2.50 Price at Convenient Grocers $4.25 $2.95 $5.25 $3.05 $3.80arrow_forwardCase 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_forward
- 3. Rick thinks either Morty or Summer broke his TV. Morty and Summer each have to decide simultaneously whether to take the blame or blame the other person. If they both blame the same person (both blame Morty or both blame Summer), the person they blame gets a small punishment and utility of -2, while the blameless person gets a utility of 0. Otherwise (if they both blame the other or both blame themselves), they both get a more severe punishment and a utility of -10.a.Draw the normal (matrix) form of this game, with Morty choosing the row and Summer choosing the column. Does either Morty or Summer have a dominant strategy? Explain your answer. Note: only Morty and Summer are players in this Game. Rick designed the game and is not a player. )b.Find all Nash equilibria of this game. )c.Suppose instead there are three suspects: Morty, Summer, and Jerry. Otherwise, the rules are the same as before. Draw the normal (matrix) form of the game. Hint: draw three matrices, with Morty choosing…arrow_forwardIn the diagram to the right, we have five different combinations of movies and books. Combination A represents 2 movies and 3 books. Combination C represents more books (7) and the same number of movies (2). Points B, E, and F are other combinations with more movies, more books, or more of both. When compared to combination A, combination B provides satisfaction to the consumer. When compared to combination F, combination B provides satisfaction to the consumer. When compared to combination A, combination F provides satisfaction to the consumer. These conclusions are based on what assumption about preferences? Books 10- 9- 8- 7- 6- 4- 3- 2- 1- 0- 0 1 C A 2 3 E 4 5 Movies LL B 6 7 8 9 Nextarrow_forwardWe learned that we can use choice between a gamble over someone's best and worst outcomes and getting an outcome of interest (like getting pizza) for certain as a way to assign numeric values to utility (on a scale of 0 to 1). Using this method, if you are indifferent between the following: A gamble that has a 0.3 chance of your best possible outcome (and no lower chance), and a 0.7 chance of your worst possible outcome. Getting pizza for certain. it means that your utility for getting pizza is:arrow_forward
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