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Ana and Ivan each individually and simultaneously decide whether to spend the evening at a play or a concert. Ana prefers to attend the concert twice as much without Ivan than to attend the play without him, and she prefers this three times more than being in the same place with Ivan (and at that point, she doesn't care where they are). Ivan prefers being in the same place with Ana twice as much as being at the play without her, and he prefers this four times more than being without Ana at the concert. Both have von Neumann-Morgenstern (vNM) preferences. With what probability will Ivan choose to attend the concert in Nashe's equilibrium?
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- Alice and Bob participate in a two-person exchange economy. Alice has the utility function u(x₁, x₂) = x0.8 0.2 and Bob has the utility function u(x₁, x₂) = x¹4x0.6, where ₁ and 2 denote cucumbers and dragon fruits respectively. Alice and Bob are each endowed with 32 cucumbers and 32 dragon fruits. For the remainder of this question, suppose Alice and Bob reached a competitive equilibrium. The number of cucumbers Alice ends up with is The number of dragon fruits Alice ends up with is The number of cucumbers Bob ends up with is The number of dragon fruits Bob ends up with is The price of cucumbers in terms of dragon fruits (if we set dragon fruits to be the numeraire) isTom, Dick, and Harry live in the same apartment building in downtown Los Angeles. Tom and Dick work at local auto parts stores, and each of them has an income of y dollars per week. Harry is less fortunate. He used to have a good job at the LAPD, but his penchant for firing large caliber weapons in crowded public places led to his dismissal. He currently has no income. Tom and Dick (who are originally from Texas) firmly believe in a man’s right to draw his gun in the defence of just about anything, and are happy to financially support Harry. Tom gives Harry zT dollars each week, and Dick gives Harry zD dollars each week Tom’s utility UT depends upon the dollar value of his own weekly consumption, cT , and of Harry’s weekly consumption, cH : Likewise, Dick’s utility UD depends upon the dollar value of his own weekly consumption, cD, and of Harry’s weekly consumption: Harry spends all of the money that he receives from Tom and Dick. Tom and Dick spend…You have a dozen shirts and your roommate has six pairs of shoes worth roughly the same amount of money. You decide to swap six shirts for three pairs of shoes. In financial terms, neither of you gains anything. Explain why you are nevertheless both likely to be better off.
- You have preferences u(x,y) = xy over games (X) and videos (Y) you can buy on a platform and a $360 budget, with prices px = 9 and py = 6. How much would you be willing to pay (at most) as a subscription fee for each of the following plans (you can buy any amount of Y in each plan at the original price, unless otherwise stated): (a) Plan A : You can buy (any amount of) X at a discounted price px = 4(b) Plan B : You are given 40 units of X for free, but you cannot buy any more of X. (surely can buy any amount of Y)(c) Plan C : You are given 30 units of X for free, but you cannot buy any more of X; you also have a discounted price for good Y; py = 4.Jia is considering whether to go out to dinner at a restaurant with her friend. The meal is expected to cost $40, Jia typically leaves a 20% tip, and an Uber will cost $5 each way. Jia values the restaurant meal at $25. Jia enjoys her friend s company and is willing to pay $30 just to spend an evening with her.Van has plans to go to an opera and already has a $100 nonrefundable, nonexchangeable, and nontransferable ticket. Now Amy, whom Van has wanted to date for a long time, asks him to a party. Van would prefer to go to the party with Amy and forgo the opera, but he doesn't want to waste the $100 he spent on the opera ticket. From the perspective of an economist, if Van decides to go to the party with Amy, what has he just done? 1. Incorrectly allowed a sunk cost to influence his decision 2. Made a choice that was not optimal 3 Correctly ignored a sunk cost Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Kyoko and Rina are considering contributing toward the creation of a public park. Each can choose whether to contribute $300 to the public park or to keep that $300 for a weekend getaway. Since a public park is a public good, both Kyoko and Rina will benefit from any contributions made by the other person. Specifically, every dollar that either one of them contributes will bring each of them $0.90 of benefit. For example, if both Kyoko and Rina choose to contribute, then a total of $600 would be contributed to the public park. So, Kyoko and Rina would each receive $540 of benefit from the public park, and their combined benefit would be $1,080. This is shown in the upper left cell of the first table. Since a weekend getaway is a private good, if Kyoko chooses to spend $300 on a weekend getaway, Kyoko would get $300 of benefit from the weekend getaway and Rina wouldn't receive any benefit from Kyoko's choice. If Kyoko still spends $300 on a weekend getaway and Rina chooses to contribute…Paolo and Van are considering contributing toward the creation of a water fountain. Each can choose whether to contribute $400 to the water fountain or to keep that $400 for a weekend getaway. Since a water fountain is a public good, both Paolo and Van will benefit from any contributions made by the other person. Specifically, every dollar that either one of them contributes will bring each of them $0.80 of benefit. For example, if both Paolo and Van choose to contribute, then a total of $800 would be contributed to the water fountain. So, Paolo and Van would each receive $640 of benefit from the water fountain, and their combined benefit would be $1,280. This is shown in the upper left cell of the first table. Since a weekend getaway is a private good, if Paolo chooses to spend $400 on a weekend getaway, Paolo would get $400 of benefit from the weekend getaway and Van wouldn't receive any benefit from Paolo's choice. If Paolo still spends $400 on a weekend getaway and Van chooses to…Juanita is deciding whether to buy a skirt that she wants, as well as where to buy it. Three stores carry the same skirt, but it is more convenient for Juanita to get to some stores than others. For example, she can go to her local store, located 15 minutes away from where she works, and pay a marked-up price of $102 for the skirt: Store Travel Time Each Way Price of a Skirt (Minutes) (Dollars per skirt) Local Department Store 15 102 Across Town 30 85 Neighboring City 60 76 Juanita makes $42 an hour at work. She has to take time off work to purchase her skirt, so each hour away from work costs her $42 in lost income. Assume that returning to work takes Juanita the same amount of time as getting to a store and that it takes her 30 minutes to shop. As you answer the following questions, ignore the cost of gasoline and depreciation of her car when traveling.
- Suppose that Abe and his brother Moe are lost in the desert and are in need of guidance to find an oasis. They can seek such guidance from either a burning bush or a golden calf. Abe has the following preferences: • If Moe chooses to talk to the golden calf, Abe prefers the outcome where he to chooses to talk to the golden calf than talk to the burning bush. • If Moe chooses to talk to the burning bush, Abe is indifferent between the outcome where he choose to talk to the burning bush and the outcome where he chooses to talk to the golden calf. • Regardless of his own decision, Abe prefers all outcomes where Moe talks to the burning bush than if he chose to talk to the golden calf. Moe has the following preferences: • If Abe chooses to talk to the golden calf, Moe prefers the outcome where he chooses to talk to the golden calf than talking to the burning bush. • If Abe chooses to talk to the burning bush, Moe prefers the outcome where he chooses to talk to the golden calf than talking…Joe and Martin, two roommates, have access to music in digital and analog formats. Each are initially endowed with 8 GB of high-resolution digital music and 4 vinyl LP's (analog) per month (there are a total of 16 GB's of music in digital and 8LP's in this case). Joe's preferences for music in digital and analog formats are represented by the utility function u, (D, A) = 2D + 2A, where D is the amount of digital music in GB's and A is the numberofLP's. Martin's utility function is um(D,A)=D+4A. 1. Draw an Edgeworth box to show the initial endowments and the indifference curves (going through the initial endowments) for Joe and Martin. What are their utility levels from the initial endowments? 2. Calculate the marginal rates of substitution for Joe and Martin. Provide an economic interpretation. 3. Do the initial endowments represent a Pareto efficient allocation? Discuss. 4. If Joe convinces Martin to exchange music at terms which would leave Martin at his initial utility level (i.e.,…John and Belle consume only two goods, x and y. They have strictly convex preferences and no kinks in their indifference curves. At the initial endowment point, the ratio of John's marginal utility of x to his marginal utility of y is J and the ratio of Belle's marginal utility of x to her marginal utility of y is B, where J B. b. C < J. c. C = J. d. C = B. e. JSEE MORE QUESTIONS
