Assume that two individuals A and B have initial endowment of USD. 1000 each. They want to decide on building a public toilet that costs USD. 100. If the toilet is constructed each receives a benefit equal to USD 60. If both share cost, they pay 50 and gain 10. What would be the dominant strategy and what would each individual gain or loss i.
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- 1.4. Suppose you are against one of two alternatives but 90% of theelectorate disagrees with your position and favors that option. Is there avoting method that is anonymous, neutral, and monotone that preventsthat option from being selected as the winning alternative?please very very urgent Given the utility function, U(X)=ln(X) where X > 0, with initial consumption C=30000. Calculate the risk premium for a fair game with a chance of loosing -20000 is 0.5? (Hint: Start with the "fair game" definition)a) What is the pure strategy Nash equilibrium outcome if there is one? (solved)b) Is this a socially optimal outcome? If not, which outcome is preferred? (solved)c) Do all three solution approaches for simultaneous games work independently (not together)? If not, which do not? (solved) d) Draw the game as a game tree (extensive form). (to be solved)e) Switch the payoffs in cells (A, A) and (D, D). What is the pure strategy Nash equilibrium outcome if there is one? (to be solved)
- This is a two-player, simultaneous one-move game represented as a game table (normal form).a) What is the pure strategy Nash equilibrium outcome if there is one? b) Is this a socially optimal outcome? If not, which outcome is preferred? c) Do all three solution approaches for simultaneous games work independently (not together)? If not, which do not? d) Draw the game as a game tree (extensive form). e) Switch the payoffs in cells (A, A) and (D, D). What is the pure strategy Nash equilibrium outcome if there is one?2. If marginal benefits are given by MB = 5 − x and marginal costs are given by MC = 10,then net benefits are maximized where x = 0.(a) True(b) FalseQuestion 3 Consider a medieval Italian merchant who is a risk averse expected utility maximiser. Their wealth will be equal to y if their ship returns safely from Asia loaded with the finest silk. If the ship sinks, their income will be y − L. The chance of a safe return is 50%. (i) Draw and carefully label the merchant’s endowment point, their expected income, and their cer- tainty equivalent income in a 2-dimensional state-contingent consumption space. (ii) Use the diagram to illustrate and explain how the merchant would benefit from buying insurance in a competitive insurance market. At which point a risk-neutral insurance firm would maximise their profits by offering the merchant full insurance?
- Suppose the Carrow Road stadium has a capacity of 50,000 seats and is used for sevengames a year. Three are Premiership games, with a demand for tickets (expressed in thousands)given by D = 150 − 3p per game, where p is the ticket price. Three of the other games are EastAnglia friendly matches with demand D = 90 − 3p per game. Finally, one is a Champion’s Leaguegame with a demand D = 240 − 3p. The costs of operating the stadium are independent of thenumber of tickets sold.(a) Determine the optimal ticket price for each game, assuming the objective is profit maximization.(b) Given that the stadium is frequently full, the idea of expanding the stadium has arisen. Apreliminary study suggests that the cost of capacity expansion would be £100 per seat per year.Would you recommend that the football club goes ahead with the project of capacity expansion?Suppose that instead Einar short sells 200 shares of German Power Weak Inc. at $40 each. NASDUCK now sets a margin requirement of 30%.(e) How much cash does Einar need to invest?(f) Calculate the margin call of NASDUCK if the price increases to $44.(g) Suppose the price falls to $25. How much cash can Einar take out from his margin account?(h) Suppose he takes out 50% of the amount in part (g). At what price threshold will Einar face a margin call by NASDUCK?8) Three decision makers have assessed utilities for the problem whose payoff table appearsbelow.s1 s2 s3d1 500 100 -400d2 200 150 100d3 -100 200 300probability.2 .6 .2Indifference Probability for PersonPayoff A B C300 .95 .68 .45200 .94 .64 .32150 .91 .62 .28100 .89 .60 .22-100 .75 .45 .10a. Plot the utility function for each decision maker.b. Characterize each decision maker's attitude toward risk.c. Which decision will each person prefer?
- Two friends, Khalid and Mahmood, are going to a watch a world cup football match. They play a simple game in which they hold out one or two fingers to decide who will pay for the other's ticket. Khalid wins if the fingers held out add up to an even number; Mahmood wins if the fingers held out add up to an odd number. The price of the ticket is 25 OMR. Construct a payoff matrix for the game. Is there a unique Nash equilibrium in this game? Which strategy should a player use to maximize her chances of winning the game?Microeconomics Wilfred’s expected utility function is px1^0.5+(1−p)x2^0.5, where p is the probability that he consumes x1 and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.4 and $3700 with probability 1 - p. Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is equal to ___ (please round your final answer to two decimal places if necessary)Consider a random-relocation economy where each young person receives 10 units of the consumption good. There are 100 young people born each period. The total stock of money is constant and equal to $500. The consumption good can be transformed, one to one, into capital, which will give a return of x > 1 next period. Suppose a personís preferences are such that they want to consume 1/2 of their endowment when young 2 of ECON20532 and 1/2 when old. They all dislike risk. We also assume that the probability that a person is relocated is 10% (known to everybody) and the gross return on capital is 1.1. A person is notifed whether she needs to relocate or not at the end of period 1. A person who relocates can take with her money, but not capital. Individual agents cannot invest directly in capital, but there exists a (perfectly competitive) banking sector that accepts deposits from all young people. (a) What is the state contingent rate of return o§ered by banks on deposits? (b) Write…