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- You are currently a worker earning $60,000 per year but are considering becoming an entrepreneur.You will not switch unless you earn an accounting profit that is on average at least as great as your current salary. You look into opening a small grocery store. Suppose that the store has annual costs of $150,000 for labor, $50,000 for rent and $40,000 for equipment. There is a one half probability that revenues will be $210,000 and a one half probability that revenues will be $410,000. Your economis profit? Suppose the government imposes a 25 percent tax on accounting profits. This tax is only levied if a firm is earning positive accounting profits. What will your after tax accounting profit be in the low revenue case? In the high revenue case? What will your average after tax accounting profit be?Let's say we have a game called "guess 2/3 of the average," where players can choose any number x ∈ [0, 100]. 5% of players are at level N0, 40% at level N1, 35% at level N2, 15% at level N3, and 5% at level N4. Players at level N0 choose a number randomly, while players at higher levels choose a number according to their beliefs, which are as follows: players at higher levels believe that all other players are one level lower than themselves. (a) What will be the winning number and which level players will be the winners? (b) Under the assumptions of classical game theory, the mentioned version of the game "guess 2/3 of the average" has exactly one equilibrium, in which everyone chooses the number 0. Prove that this outcome is indeed a Nash equilibrium of the game.Q19
- NoneJack and Diane work at a bakery. Jack can make either five batches of cookies or two cakes per hour, while Diane can make either four batches of cookies or three cakes per hour. At 9:00 a.m. they receive an order for 24 batches of cookies and nine cakes. What time is the soonest they can have the order ready?Matthew is playing snooker (more difficult variant of pool) with his friend. He is not sure which strategy to choose for his next shot. He can try and pot a relatively difficult red ball (strategy R1), which he will pot with probability 0.4. If he pots it, he will have to play the black ball, which he will pot with probability 0.3. His second option (strategy R2) is to try and pot a relatively easy red, which he will pot with probability 0.7. If he pots it, he will have to play the blue ball, which he will pot with probability 0.6. His third option, (strategy R3) is to play safe, meaning not trying to pot any ball and give a difficult shot for his opponent to then make a foul, which will give Matthew 4 points with probability 0.5. If potted, the red balls are worth 1 point each, while the blue ball is worth 5 points, and the black ball 7 points. If he does not pot any ball, he gets 0 point. By using the EMV rule, which strategy should Matthew choose? And what is his expected…
- Arielle is a risk-averse traveler who is planning a trip to Canada. She is planning on carrying $400 in her backpack. Walking the streets of Canada, however, can be dangerous and there is some chance that she will have her backpack stolen. If she is only carrying cash and her backpack is stolen, she will have no money ($0). The probability that her backpack is stolen is 1/5. Finally assume that her preferences over money can be represented by the utility function U(x)=(x)^0.5 Suppose that she has the option to buy traveler's checks. If her backpack is stolen and she is carrying traveler's checks then she can have those checks replaced at no cost. National Express charges a fee of Sp per $1 traveler's check. In other words, the price of a $1 traveler's check is $(1+p). If the purchase of traveler's checks is a fair bet, then we know that the purchase of traveler checks will not change her expected income. Show that if the purchase is a fair bet, then the price (1+p) = $1.25.Two identically able agents are competing for a promotion. The promotion is awarded on the basis of output (whomever has the highest output, gets the promotion). Because there are only two workers competing for one prize, the losing prize=0 and the winning prize =P. The output for each agent is equal to his or her effort level times a productivity parameter (d). (i.e. Q2=dE1 , Q2=dE2). If the distribution of “relative luck” is uniform, the probability of winning the promotion for agent 1 will be a function of his effort (E1) and the effort level of Agent 2 (E2). The formula is given by...Prob(win)=0.5 + α(E1-E2), where α is a parameter that reflects uncertainty and errors in measurement. High measurement errors are associated with small values of α (think about this: if there are high measurement errors, then the level of an agent’s effort will have a smaller effect on his/her chances of winning). Using this information, please answer the following questions. Both workers have a…The probability that it will rain on any given day is 0.20, and the probability is independent from day to day. You are trying to decide whether or not to make a tee time tomorrow to play golf. This requires a commitment on your part of turning down, say, movie tickets in favor of playing golf. If you accept the tickets, you also make the commitment not to go golfing. There is a weather forecast that signals whether it will rain tomorrow or not. There is a 0.80 probability that it rains when there is a "rainy" forecast and a 0.125 probability of rain when there is a "sunny" forecast. The overall probability of getting a "rainy" forecast is 0.111. Assume you are risk neutral. You place the following monetary values on the potential outcomes: a sunny day at $95 the golf course a rainy day at the movies a rainy day at home a sunny day at the movies $20 -$18 $1
- Consider a city where everyone commutes to the city center and commuting cost per mile per month is $40. Each household occupies a 1,000-square-foot dwelling and has $7,000 worth of possessions in its dwelling. The probability that any particular household will be burglarized (involving the uninsured loss of all possessions) is 0.10 at the city center and decreases by 0.01 per mile (to 0.09 at one mile, 0.08 at two miles, and so on). The housing price is $1.00 per square foot at the city center. a) Draw the housing-price curve for locations up to five miles from the city center.Nn3 Suppose an incumbent monopoly firm currently earns a profit of $50,000 per period. A potential entrant could enter and make a profit of $15,000 per period while also lowering the incumbent’s profit to $20,000 per period. The monopoly firm could seek to engage in predatory pricing, which would lead to both firms earning a loss of $5,000 per period. (a) Is there a Nash Equilibrium in this game? If so, what is it? (b) Discuss how this game might play out in the real world?the video link is: https://www.youtube.com/watch?v=aqEz6kvXhc8please give me detailed solutions and calculations, thank you!