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.
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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.
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- Two hunters may choose, individually and simultaneously, to go deer hunting, as the deer can provide abundant and appetizing food, or to go hare hunting, also appetizing, but scarce. Deer hunting represents a challenge and requires mutual coordination. Hunting a deer without cooperation means that the deer will be safe; while hunting a deer in groups guarantees it will be caught. Hare hunting is an individual activity that does not require another hunter, and the one who decides to go hare hunting always makes it. The reward for hunting a hare is 1, while the reward for each of the hunters for catching a deer together is 3 for each one. The reward for not hunting a deer is 0. Specify the game in a normal way arising from this situation. Do the players have strictly dominated strategies? Determine the set of rationalizable strategies in this case. Find all Nash equilibriums in this case, if any. Are they efficient in Pareto sense? Justify your answer.Two roommates John and Joe are playing a simultaneous game of cleaning the apartment. If neither of them clean, the apartment gets filthy and both get a utility of 2. If John cleans and Joe doesn't, John gets a utility of 1 and Joe gets a utility of 4. If Joe cleans and John doesn't, Joe gets a utility of 1 and John gets a utility of 4 and if both clean up the apartment, they each get a utility of 3. Is the equilibrium efficient?When countries specialize in producing certain goods and then freely exchange those goods for other goods with different countries, what is the advantage? Group of answer choices Each country can consume at a point outside their production possibilities frontier. All people in each country will be better off than they would be if they did not trade. Each country can produce at a point outside their production possibilities frontier. Each country can produce and consume at a point outside their production possibilities frontier.
- You and a classmate are assigned a project on which you will receive one combined grade. You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation: • If both of you work hard, you both get an A, which gives each of you 25 units of happiness. • If only one of you works hard, you both get a B, which gives each of you 15 units of happiness. • If neither of you works hard, you both get a D, which gives each of you 5 units of happiness. • Working hard costs 15 units of happiness. Complete the following payoff matrix given the previous information. In each cell, your classmate's payoff is on the left and yours is on the right. Your Decision Work Shirk Classmate's Decision Work , , Shirk , , The likely outcome is that your classmate and you . If you get this classmate as your partner on a series of projects throughout the year, rather than only once, you are likely…If there is only one buyer and one seller meeting to exchange, then any price that they agree upon must be between the willingness to pay of the buyer and the willingness to sell of the seller.True or FalseYou and a classmate are assigned a project on which you will receive one combined grade. (You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation:• If both of you work hard, you both get an A, which gives each of you 40 units of happiness.• If only one of you works hard, you both get a B, which gives each of you 30 units of happiness.• If neither of you works hard, you both get a D, which gives each of you 10 units of happiness.• Working hard costs 25 units of happiness. a. Fill in the payoffs in the following decision box: REFER IMAGE b. What is the likely outcome? Explain your answer.c. If you get this classmate as your partner on a series of projects throughout the year, rather than only once, how might that change the outcome you predicted in part (b)?d. Another classmate cares more about good grades: She gets 50 units of happiness for a B and 80 units of happiness for an A. If this classmate were your partner (but your…
- You and a classmate are assigned a project on which you will receive one combined grade. (You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation:• If both of you work hard, you both get an A, which gives each of you 40 units of happiness.• If only one of you works hard, you both get a B, which gives each of you 30 units of happiness.• If neither of you works hard, you both get a D, which gives each of you 10 units of happiness.• Working hard costs 25 units of happiness.a. Fill in the payoffs in the following decision box: b. What is the likely outcome? Explain your answer.c. If you get this classmate as your partner on a series of projects throughout the year, rather than only once, how might that change the outcome you predicted in part (b)?d. Another classmate cares more about good grades: She gets 50 units of happiness for a B and 80 units of happiness for an A. If this classmate were your partner (but your preferences…two timber companies, Alpha and Beta, have to decide whether to harvest timber from the North Hill or the South Hill and then sell the timbers in the same market. If both harvest from North Hill, each company can harvest 100 tons of timber. If both companies harvest from South Hill, each company can harvest 150 tons of timber. If one company harvests from North Hill and the other harvests from South Hill, the company at North Hill can harvest 150 tons of timber while the company at South Hill can harvest 250 tons of timber. The price of timber is dependent on the total supply of timber in the market. The price will be $180 per ton if the total supply is 200 tons, $150 per ton if the total supply is 300 tons and $100 per ton if the total supply is 400 tons. To both companies, the cost of harvesting in North Hill is $5,000 and the cost of harvesting in South Hill is $10,000. (a) If Alpha and Beta were to make a decision simultaneously, construct the payoff matrix in terms of profit for…Two countries decide to specialize in producing certain goods to export to other countries, and in return they import different goods from these other countries. The advantage of these exports and imports is: Group of answer choices the country will be able to produce at a point outside your production possibilities frontier. the country will be able to consume at a point outside your production possibilities frontier. the countries will be able to produce and consume at a point outside your production possibilities frontier. the country's production possibilities frontier will shift outward.
- Andy, Brad, and Carly are playing a new online video game: Zombie Civil War. Each has an army of 100 zombies and must decide how to allocate them to battle each of the other two players’ armies. Three simultaneous battles are occurring: one between Andy and Brad, one between Andy and Carly, and one between Brad and Carly. Let Ab denote how many zombie soldiers Andy allocates to his battle with Brad, with the remaining 100 - Ab soldiers in Andy’s zombie army assigned to the battle with Carly. Bc denotes the number of zombie soldiers that Brad allocates to his battle with Carly, and 100 - Bc zombies go to his battle with Andy. Ca is the the number of zombie soldiers that Carly allocates to the battle with Andy, and 100 - Ca in her battle with Brad. To see how payoffs are determined, consider Andy. If Ab > 100 - Bc, so that Andy has more zombies than Brad in the Andy-Brad battle, then Andy wins the battle and receives w points where w > 2. If Ab = 100 - Bc, so that Andy and Brad…Rosencrantz and Guildenstern play a game in which they simultaneously put down some number of coins with either a head or a tail showing on each coin. Rosencrantz puts down one coin and Guildenstern puts down two coins. Rosencrantz pays Guildenstern one dollar for each coin that shows the side that Rosencrantz played; for example, if Rosencrantz played a head and Guildenstern played a head and a tail, Rosencrantz would pay Guildenstern two dollars, since two heads were displayed among the three coins. a. Formulate a strategic game that represents this situation. b. Find all Nash equilibria of this game (including any mixed strategy equilibria). c. For each of the Nash equilibria in (b), give Guildenstern’s expected payoff.Two cigarette manufacturers repeatedly play the following simultaneous-move billboard advertising game. If both advertise, each earns profits of $0 million. If neither advertises, each earns profits of $10 million. If one advertises and the other does not, the firm that advertises earns $20 million and the other firm loses $1 million. If there is a 10 percent chance that the government will ban cigarette sales in any given year, can the firms “collude” by agreeing not to advertise?