Example 1: Zero Sum Game Game Table 1 Player 2 S1 S2 RI |(3,-3) (-5,5) Playe RI (0,0) (7,-7) Player 1 All players payoff shown =) Find Nasn ewwliLtlun>
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- Subject 2 A bottle company ALPHA, is considering creating a new bottle of 0.25 lt. To decide whether to invest in this projector not, they performed market research that costed €5,000. The results indicated two possible scenarios that depend on the competitor's reaction to create a similar product and on the percentage of the faithful customers of ALPHA. ScenarioA has a 45% chanceto be realized, while scenarioB has a probability of 55%. For the project's realization the company must purchase specialmachinery that cost €80,000, while transportation and installation costs amount to €2,000. The useful life of the project is two years, and the machinery can be sold at the end of the useful life for €30,000.Table 1 presents the pertinenteconomic data. At the end of the second year the working capital is going to be recaptured. The tax rate is 25%, the weighted average cost of capital is 10% and the company fully depreciates fixed assets for tax purposes, using the straight-line depreciation…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?1. What is the expected value of playing this game ? a. The player repeatedly rolls a six - side d die until it comes up 6. b. When the die comes up 6 , the player receives a payoff, and the game ends. The player get s precise ly one payof f. c. The initial payoff is $6, and it increases by 20%. The f irst roll payoff is $6 ; the second roll payoff is $7.20 (1.2*$6) ; the third roll payoff is $8.64 (1.2*$7.20), and so on. What is the expected value of playing this game?
- ONLY SOLVE D An investor with a total wealth of $100 is faced with the following opportunities. First, he may invest $100 now and receive $144 if there are good times, but receive $64 if there are bad times. The investor estimates that good times happen with 50% probability.He can also buy an investor newsletter whether good times or bad times will occur. (a) Draw the decision tree that illustrates the options available to the investor and the payoffs to the different options. Define P as the price of the newsletter. (b) If the investor is risk-neutral with U(M) = M, where M is income, how much would he be willing to pay for the subscription to the newsletter? (c) If the investor is risk-averse with utility U(M) = M0.5, where M is income, how much would this investor be willing to pay for the subscription to the newsletter? (d) Suppose that the owner of the newsletter estimates that there are 75 risk-averse investors like those of part (c) and 25 investors like those of part(b). If…8) Three decision makers have assessed utilities for the problem whose payoff table appearsbelow. probabilities and payoffs. S1 S2 S3 D1 500 100 -400 D2 200 150 100 D3 -100 200 300 Probability .2 .6 .2 Indifference Probability for Person Payoff A B C 300 .95 .68 .45200 .94 .64 .32150 .91 .62 .28100 .89…1. when consent is given, the individual is held to this concern even if here she did not fully understand what was being consented to. True or false
- 1. Draw tree of the game clearly, handwritten is preferable.1 . Individual Problems 17-2 You're a contestant on a TV game show. In the final round of the game, if contestants answer a question correctly, they will increase their current winnings of $3 million to $4 million. If they are wrong, their prize is decreased to $2,250,000. You believe you have a 25% chance of answering the question correctly. Ignoring your current winnings, your expected payoff from playing the final round of the game show is . Given that this is , you play the final round of the game. (Hint: Enter a negative sign if the expected payoff is negative.) The lowest probability of a correct guess that would make the guessing in the final round profitable (in expected value) is . (Hint: At what probability does playing the final round yield an expected value of zero?)V1 A team sells two categories of tickets, gold seats and purple seats. Premium fans value gold seats as worth $30 and purple seats as worth $13. Budget fans value gold seats as worth $12 and purple seats are worth $10. There are an equal number of the two fans. The team sells tickets to the purple seats for $10. To maximize profits, how much should they charge for a gold seat? Answer is 27, please show calculations.
- . On a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according to thefunctionU (c, b) = 20c - c2 +18b- 3b2.How many cigars and glasses of brandy does he consume during an evening? (Cost is no objectto J. P.)b. Lately, however, J. P. has been advised by his doctors that he should limit the sum of glasses ofbrandy and cigars consumed to 5. How many glasses of brandy and cigars will he consumeunder these circumstances?whats the points for 1) 2) 3)Note: chat gpt answers will be down voted.