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- (a) Discuss how asymmetric information can influence decision-making:(i) In game theory, regarding competitors’ pricing.(ii) Between insurance companies and their clients.(b) Two hotels, Hotel Sandy and Hotel Magda, are competing for a limited number of tourists. The hotels have approval to either expand hotel operations, or add recreational water sports to their offerings. No one hotel has approval do both of these changes. A research company has determined that the following outcomes are likely:If Hotel Sandy expands, and Hotel Magda adds water sports, Hotel Sandy will increase its market share by 1%, and Hotel Magda will increase its market share by 3%.If Hotel Sandy adds water sports, and Hotel Magda expands, Hotel Sandy will decrease its market share by 5%, and Hotel Magda will increase its market share by 2%.If both hotels add water sports, Hotel Sandy will increase its market share by 4%, and Hotel Magda will increase its market share by 5%.If both hotels expand, Hotel Sandy…Problem1 A)Provide an example of the extended form of a sequential game with perfect information. B) Provide an example of a repeated game with complete but imperfect information.1. Write down the behavioral trap that is more likely to occur in each of the following case and Justify your answer a) While investing her money on share market, Mila filters out the information that contradicts her original idea about some particular share. b) Lee attributes successful outcomes to her own actions and bad outcomes to external factors. c) Paul continues to invest in Aqua Company’s share despite its persistent negative return. d) Sifa buys only those shares that has a consistent upward trend of returns. e) Fariha suggests her friend Samia to invest on ABC Company’s share as she foresees higher return from it. f) Sunny sells a profitable Beximco share today that earned him positive return.
- Determine whether the statements is true, false, or uncertain. If the statement is false or uncertain, please correct the statement to make it true. If the statement is true, please explain your answer briefly. Include a short definition of any CAPITALIZED term. 1. In game theory, an outcome in which each player is doing his best given the strategies chosen by the other players is called a STRATEGIC SITUATION.5. The following problem was first considered by John von Neumann and is a fundamentalresult game theory.A and B play the following game:A writes down either number 1 or number 2, and B must guess which one.If the number that A has written down is i and B has guessed correctly, B receives i units from A.If B makes a wrong guess, B pays 4/5 of a unit to A.First we consider the expected gain of player B.Suppose B guesses 1 with probability p and 2 with probability 1 −p.Let X1 denote B’s gain (or loss) in a game where A has written down 1.Let X2 denote B’s gain (or loss) in a game where A has written down 2.(a) Find the pmf of X1 and X2(b) Find B’s expected gain for these two cases, E[X1] and E[X2].(c) What value of p maximizes the minimum possible value of B’s expected gain?Now consider the expected loss of player ASuppose that A writes down 1 with probability q and 2 with probability 1 −q.Let Y1 be A’s loss (or gain) if B chooses number 1.Let Y2 be A’s loss (or gain) if B…12.3 Armed Conflict: Consider the following strategic situation: Two rival armies plan to seize a disputed territory. Each army's general can choose either to attack (A) or to not attack (N). In addition, each army is either strong (S) or weak (W) with equal probability, and the realizations for each army are independent. Furthermore the type of each army is known only to that army's general. An army can capture the territory if either (i) it attacks and its rival does not or (ii) it and its rival attack, but it is strong and the rival is weak. If both attack and are of equal strength then neither captures the territory. As for payoffs, the territory is worth m if captured and each army has a cost of fighting equal to s if it is strong and w if it is weak, where s <w. If an army attacks but its rival does not, no costs are borne by either side. Identify all 12.7 Exercises • 267 the pure-strategy Bayesian Nash equilibria of this game for the following two cases, and briefly describe…
- 14. Company A and Company B are each telecommunications manufacturers. Both companies manufacture the same products, and they make their decisions based on the other's actions. Both companies are considering opening retail outlets to increase their profits. The payoff matrix shows the profits of the companies in millions of dollars if they choose to open retail outlets. The government imposes a new $5 million tax to open retail outlets. What is the expected outcome of the new payoff matrix, given the tax? The Nash equilibrium is for Company A to not open retail outlets and for Company B to open retail outlets. The Nash equilibrium is for Company A to open retail outlets and for Company B to not open retail outlets. The Nash equilibrium is for both Company A and Company B to open retail outlets. The Nash equilibrium is for both Company A and Company B to not open retail outlets. There is no Nash equilibrium after the change given in the scenario.…1 True or False : Every finite extensive - form game of imperfect information admits at least one pure - strategy Nash equilibrium . Justify if true or give a counter - example if notAccording to the text explain briefly how Risk Analysis helps the decision maker?
- What is the mostly commonly used utility functions for the following and why: Risk Aversion Risk Seeking Risk NeutralWrite out the extensive form of a game between a farmer (playing in the first round) and nature (playing a mixed strategy in the second round). Assume that the farmer can either pay a cash rent of $1500 for land (English system) or 1/2 of crop production to the landlord (sharecropping). Assume the farmer is planting corn and will produce 2 tons of corn. Assume that nature has a 50% chance of playing a strategy in which the price of corn is $3500/ton and a 50% chance of playing a strategy in which the price of corn is $500/ton. The farmer keeps any money left after paying cash rent and sells any corn left after paying the landlord in sharecropping. What is the most that a risk neutral farmer would be willing to pay for an accurate prediction of the price of corn in problem 1 before choosing whether to pay cash rent or sharecrop?Q. 4 Suppose you, owner and CEO of a corporation, are considering a $25 million project that constructs a building in the downtown area of Toronto. The current market price of the similar building is about $20 million. The future price is uncertain. It may be either $28 million or $22 million in one year from now, depending on the economic situation. The company can borrow at a risk-free rate of 5 percent per year. What is the value of this project? Use a binomial model to value this real option.