Suppose that A and B are roommates. Each of them can choose whether to plant flowers in the garden. If they both plant, each will get a payoff of 30. If one plants, and the other does not, the one who plants will get -20 (because it is hard work) and the one who does not will get 45. If neither of them plants any flowers, each will get a payoff of 0. a) What outcome do you think is most likely? Why? b) What is in common between this situation and the Prisoner's Dilemma? Why?
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- (d) The company only has 4 workstations available. If it only operates its 4stations, how many weeks does it need to meet the production requirements?(e) The company has other contracts it needs to satisfy. Working on themugs more than 4 weeks means it will have to cancel another contract,incurring a penalty of $4,500. Each new workstation costs the company$2,500. What should the company do: cancel the contract or buy therequired workstations?4. "Family Man," a construction company, is considering whether to bid on a contract for a new housing complex. The cost of preparing a bid USD 200,000. “Family Man" has a 0.8 probability of winning the contract, if it submits the bid. If "Family Man" wins the bid, it has to pay USD 2000,000 to be a project partner of the project. As per the usual practice, "Family Man" will then consider consulting a market research firm "Marquess" to conduct a market survey to forecast the demand of housing complex before beginning the construction. "Marquess" charges a fee of USD 150,000. Now, the demand scenario can be either "High demand" or "Low demand." "Family Man" gets a revenue of USD 5000,000 and USD 3000,000 in case of "High demand" and "Low demand" scenario, respectively. On the other hand, instead of construction, "Family Man" has a provision of selling its project rights to another project partner construction company at the price USD 3500,000. As per the historical data, "Marquess"…In contract negotiations between a local government agency and its workers, it is estimated that there is a 50% chance that an agreement will be reached on the salaries of the workers. It is estimated that there is a 70% chance that there will be an agreement on the insurance benefits. There is a 20% chance that no agreement will be reached on either issue. Are the agreement on salaries (S) and the agreement on insurance (I) independent events? O not independent because P(S) P(I) # P(S and I) O independent because P(S) P(I) = P(S and I) %3D Oindependent because P(S) P(I) P(S and !)
- In Benefit/cost ratio analysis, if the salvage value is used to recover the first cost, it is being considered as: Select one: a. negative cost b. cost c. benefit d. disbenefit =================== Ali takes out a loan at 10 percent compounded annually for 7 years. At the end of this period, he pays off the loan at a value of $23,384.61. What amount did he borrow? Select one: a. $12,000.00 b. $15,000.00 c. $14,000.00 d. $13,000.00 ============= While considering the engineering economy concepts, the most important tense almost all exercises deal with is the annual worth. Select one: True False Ans allConsider the following Bargaining game, where each player tries to maximize his own number of coins. Player A starts the game with 3 coins and Player B starts with 1 coin. Player A needs to decide how many coins to give to Player B. Player A moves first, and makes an offer to Player B. Player B observes the offer, and then chooses to accept or reject the offer. If player B rejects the offer, the game is over: Player A loses all his 3 coins and player B losses his 1 coin (both players end up with zero coins). If Player B accepts the offer, the game is over: Player B keeps his original 1 coin plus the coin(s) offered by Player A, while Player A keeps the coin(s) he did not offer to player B. In the subgame perfect equilibrium of this game: Select the right option from below Player A offers zero coins to Player B Player A offers one coin to Player B Player A offers two coins to Player B Player A offers three coins to Player B Player A plays a mixed…Given the following payoff table with the profits ($m), a firm might expect alternative investments (A, B, C) under different levels of interest rate. payoffs as profits states of nature 1(5%) decision 2(7%) 3(9%) alternatives A 14 22 6. B 19 18 11 12 17 15 (a) Which alternative should the firm choose under the maximax criterion? (b) Which option should the firm choose under the maximin criterion? (c) Which option should the firm choose under the LaPlace criterion? (d) Which option should the firm choose with the Hurwicz criterion with a = 0.2? (e) Using a minimax regret approach, what alternative should the firm choose? (f) Economists have assigned probabilities of 0.35, 0.3, and 0.35 to the possible interest levels 1, 2, and 3 respectively. Using expected monetary values, what option should be chosen and what is that optimal expected value? (g) What is the most that the firm should be willing to pay for additional information? Use Expected Regre (h) Use the alternative method to…
- This game has two players: the employee (Homer) and the employer (Mr. Burns). Homer has to decide whether or not to pursue a training opportunity that will cost him $1,000. Undergoing the training will give Homer the opportunity to potentially generate additional revenue through a new business venture. Mr. Burns has to decide whether or not to pay a fixed wage to Homer of $10,000 for the new venture or to share the revenue from the new enterprise with Homer on a 50/50 split. Demand for the new venture is somewhat unpredictable. Cash flows are positively affected by both training and revenue sharing. With no training and a fixed wage, cash flow is projected to be $20,000. If either training or revenue sharing is implemented, cash flows rise to $22,000. If both training and revenue sharing are implemented, the cash flow position is even better at $25,000. Construct a pay-off matrix for this scenario. Is there a dominant strategy for both parties that results in equilibrium?…In this version of dice blackjack, you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to come as close as possible to a total of 7 without going over. You may stop at any time. If your total is 8 or more, you lose. If your total is 7 or less, the house then tosses the die repeatedly. The house stops as soon as its total is 4 or more. If the house totals 8 or more, you win. Otherwise, the higher total wins. If there is a tie, the house wins. Consider the following strategies: Keep tossing until your total is 3 or more. Keep tossing until your total is 4 or more. Keep tossing until your total is 5 or more. Keep tossing until your total is 6 or more. Keep tossing until your total is 7 or more. For example, suppose you keep tossing until your total is 4 or more. Here are some examples of how the game might go: You toss a 2 and then a 3 and stop for total of 5. The house tosses a 3 and then a 2. You lose because a tie goes to the house. You toss a 3 and then a 6. You lose. You toss a 6 and stop. The house tosses a 3 and then a 2. You win. You toss a 3 and then a 4 for total of 7. The house tosses a 3 and then a 5. You win. Note that only 4 tosses need to be generated for the house, but more tosses might need to be generated for you, depending on your strategy. Develop a simulation and run it for at least 1000 iterations for each of the strategies listed previously. For each strategy, what are the two values so that you are 95% sure that your probability of winning is between these two values? Which of the five strategies appears to be best?Suppose that you have two four-sided dice that are each equally weighted (i.e. equal chance of any of the four sides landing face up). One of them has values [12.5968, 2, -2 and -12.5968] , the other [12.5968, 4, -2 and -12.5968] . Which of them has a µ of zero using the probability model approach. 1. [12.5968, 4, -2 and -12.5968] 2. [12.5968, 2, -2 and -12.5968]
- Q1. The management of an oil company is trying to decide whether to drill for oil in a particular fieldin the Gulf of Mexico. It costs the company $600 thousand to drill in the selected field. Themanagement believes that if oil is found in this field, its estimated value will be $3400 thousand. Atpresent, this oil company believes that there is a 45% chance that the selected field actually containsoil. Before drilling, the oil company can hire a team of geologists to perform seismographic tests at acost of $55 thousand. Based on similar tests in other fields, the tests have a 25% false negative rate(no oil predicted when oil is present) and a 15% false positive rate (oil predicted when no oil ispresent).A. Assume the oil company wants to maximize its expected net earnings. Please utilize decisiontree analysis to determine its optimal strategy.B. Calculate the expected value of the information (EVI/EVSI) provided by the team ofgeologists.C. Conduct a sensitivity analysis on the chance…Option 2: Raise prices by 50%. If this occurs, there is a 75% chance that an Entrepreneur will set up in competition this year. The board’s estimate of its annual profit in this situation would be as follows: 2A: With new competitor 2B: Without new competitor Probability Profit (Sh.) Probability Profit (Sh.) 0.25 150,000 0.5 200,000 0.5 120,000 0.3 150,000 0.25 80,000 0.2 100,000 Option 3: Expand the car park quickly at a cost of Sh. 50,000 keeping prices theSame. The profits are then estimated to be like 2B above, except that the probabilities would be 0.6, 0.3 and 0.1 respectively. Required: Draw a decision tree for the above problem, including all the relevant data. Using expected values analyze the decision tree and recommend the best option to the owners of the car park.|At the Pleasant Haven Hotel there are 36 rooms. The profit earned when a room is sold for a night is $53. If Pleasant Haven overbooks, by selling more reservaitions than they have rooms and they end up having a customer whose reservation cannot be fulfilled, the loss to Pleasant Haven is $30 for that customer. Regardless of the number of rooms booked, the probability of one no show is 60% and the probability of 2 no shows is 20%. There is zero probability of more than 2 no shows. For a night when requests are exceeding the 36 rooms, what is the optimal number of reservations to accept? Assume there is no penalty for a customer who does not show up, i.e., Pleasant Haven does not make $53 on a customer that is a no show. What is the expected net for booking each of the following: (Net means profit minus any overbooking loss.) 36 customers 37 customers 38 customers What is the best number of book?