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- 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?P2: The government is considering whether to build barriers along a river that would reduce the risk of flooding for the citizens living by the river. Three citizens: Alan, Brad, and Carlos, will vote yes or no on the project. If the majority votes yes, the barriers will be built, but if the majority votes no the project will not go ahead. Suppose the total cost of the project is $1,500, so if the project is undertaken everyone will end up paying $500. The following sets of numbers represent the three citizens' private willingness to pay (how much utility they would get from the barrier, expressed in terms of dollars), in three different scenarios. a) Alan: $400, Brad: $600, Carlos:Ma3. The payoff matrix below shows the payoffs for Stefan and Imani in a two strategy game. In the mixed strategy equilibrium, Stefan will play strategy Up with a probability of 1/5 and strategy Down with a probability of 4/5, and Imani will play strategy Left with a probability of 2/5 and strategy Right with a probability of 3/5. What is Stefan's expected payoff in the mixed strategy equilibrium? 10.6 5 4.56 10.4
- 8. Two states, A and B, have signed an arms-control agreement. This agreementcommits them to refrain from building certain types of weapons. The agreement is supposed tohold for an indefinite length of time. However, A and B remain potential enemies who wouldprefer to be able to cheat and build more weapons than the other. The payoff table for A (player1, the row player) and B (player 2, the column player) in each period after signing thisagreement is below. a) First assume that each state uses Tit-for-Tat (TFT) as a strategy in this repeated game.The rate of return is r. For what values of r would it be worth it for player A to cheat bybuilding additional weapons just once against TFT? b) For what values of r would it be worth deviating from the agreement forever to buildweapons? c) Convert both values you found in parts a and b to the equivalent discount factor dusing the formula given in lecture and section. d) Use the answers you find to discuss the relationship between d and r:…Yi = -1336.049+12.7X1i+8.57X2iSE (175.2725) (0.9123) (5.8019)R2 = 0.89 n=38 DW= 0.37Where Y= Auction Price of antique clocks in dollars.X1= Age of clock in years and X2= Number of bidders* What does underlined bold term mean? ExplainFINITE REPETITION Alice and Bob are playing a repeated game in which a certain stage game is played twice in succession. All behaviour in the first period is observed by both players before the second period commences. In the stage game, Alice has 3 pure strategies and Bob has 2 pure strategies. How many pure strategies does Bob have in the repeated game? (If necessary, use a calculator to compute this number.) 2 6 2187 3 36 64 7 729 128 216 Please do fast ASAP fast
- 13. Which ones correctProblem 12-05 (Algo) A risk-neutral consumer is deciding whether to purchase a homogeneous product from one of two firms One firm produces an unreliable product and the other a reliable product At the time of the sale, the consumer is unable to distinguish between the two firms’ products From the consumer’s perspective, there is an equal chance that a given firm’s product is reliable or unreliable The maximum amount this consumer will pay for an unreliable product is $0, while she will pay $210 for a reliable product a Given this uncertainty, what is the most this consumer will pay to purchase one unit of this product? $ b How much will this consumer be willing to pay for the product if the firm offering the reliable product includes a warranty that will protect the consumer? $ Problem 12-04 You are the manager of a firm that sells a “commodity†in a market that…3) Indicate whether the following statement is TRUE or FALSE and explain your answer: If one player is the leader in a game it means that s/he has the first move in the game. The key thing is that this move can be observed by the follower before making his/her own decision, otherwise it would be a simultaneous move game that cannot be solved by backwards induction.
- 64. (This problem assumes knowledge of the basic rulesof baseball.) George Lindsey (1959) looked at boxscores of more than 1000 baseball games and foundthe expected number of runs scored in an inning foreach on-base and out situation to be as listed in the fileP09_64.xlsx. For example, if a team has a man on firstbase with one out, it scores 0.5 run on average untilthe end of the inning. You can assume throughout thisproblem that the team batting wants to maximize theexpected number of runs scored in the inning.a. Use this data to explain why, in most cases,bunting with a man on first base and no outs isa bad decision. In what situation might buntingwith a man on first base and no outs be a gooddecision?b. Assume there is a man on first base with one out.What probability of stealing second makes an attempted steal a good idea?INTR.17 Suppose that you have graduated from college. If you had not gone to college, you would have worked and earned about $30,000 per year. Which of the following is the best way to think of the $30,000 per year? a Sunk cost. b Opportunity cost. c It was an opportunity cost, but is now a sunk cost. d It was a sunk cost, but now is an opportunity cost.only typed answer Consider the following information: Q = 22 L + 57 K PL=52, PK=3, P=28 and C=4763 What is the profit maximizing level of output?
