3 Suppose o and I play the game veck-paper- scisser twice Xesume mixed stratejos (ran domi zng ng the tree actine) do you are not albuad Hoe have?
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Kindly help explain the steps involved to arrive at the answer.
Rock paper scissor game is associated with payoff such that :
=> Simultaneous game .
=> If both player choose same strategy payoffs are zero .
=> Player with winning strategy gets (1) and looser (-1)
Player 2 | ||||
Rock | Paper | Scissor | ||
Player 1 | Rock | 0,0 | -1,1 | 1,-1 |
Paper |
1,-1 | 0,0 | -1,1 | |
Scissor | -1 , 1 | 1, -1 | 0 , 0 |
Step by step
Solved in 2 steps
- Praxilla, who lived in ancient Greece, derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem 27 units of marginal utility from her second poem 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her next three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumber consumed. A poem costs three bronze coins hut a cucumber costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxillas budget set between poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process based on marginal utility, create a table and identify Praxillas utility—maximizing choice. Compare the marginal utility of the two goods and the relative prices at the optimal choice to see if the expected relationship holds. Hint: Label the table columns: 1) Choice, 2} Marginal Gain from More Poems, 3) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice Optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 cucumbers, 3) 2 Poems and 12 cucumbers, 4) 3 Poems and 9 Cucumbers, 5) 4 Poems and 6 cucumbers 6) 5 Poems and 3 Cucumbers, 7) 6 Poems and 0 Cucumbers.Bart and Lisa are both optimizing consumers in themarkets for shirts and hats, where they pay $100for a shirt and $50 for a hat. Bart buys 8 shirts and4 hats, while Lisa buys 6 shirts and 12 hats. Fromthis information, we can infer that Bart’s marginalrate of substitution is _________ hats per shirt, whileLisa’s is _________.a. 2; 1b. 2; 2c. 4; 1d. 4; 2a. A young connoisseur has $600 to spend to build a smallwine cellar. She enjoys two vintages in particular: a 2001French Bordeaux (wF) at $40 per bottle and a less expensive 2005 California varietal wine (wC) priced at $8. Ifher utility is U (wF, wC))=wF2/3 w C1/3 ,then how much of each wine should she purchase?b. When she arrived at the wine store, this young oenologistdiscovered that the price of the French Bordeaux hadfallen to $20 a bottle because of a decrease in the valueof the euro. If the price of the California wine remainsstable at $8 per bottle, how much of each wine shouldour friend purchase to maximize utility under thesealtered conditions?c. Explain why this wine fancier is better off in part (b)than in part (a). How would you put a monetary value onthis utility increase?
- Co. XYZ manufactures a productand sells it for $8 per unit. Her fixedcosts are $5,000 and her variablecost per unit is given by the equationCalculate the equilibrium quantity qalgebraically. 2.444 (X)-2200 A. (q-800) B. q=900 C. (q 650) D. None of the above In the previous problem (27), calculate the amount ofequilibrium Total Income. A. 4,500 B.$3,000 C. $7,200 D. $9,000 In the above problem (27), calculate thebreak-even Total Cost amount. A. 4,500 B. $3,000 C. $9,200 D. 7,200 In the previous problem (27)determine the profit when q-1800.modes of A. $4,500 B. 5,000 C.$6,000 D. 7,000 In the previous problem (27), determine the gain when q-450. A. $2,500 B. -$2,500 C.$6,000 D. -$4,500 In the aboveproblem (27), find the required output (q), to make a profit of$10,000. A. 3,000 B. 4,000 C. 2,500D. 2,700Nimbus, Inc., makes brooms and then sells themdoor-to-door. Here is the relationship between thenumber of workers and Nimbus’s output during agiven day:Workers OutputMarginalProductTotalCostAverageTotalCostMarginalCost0 0 ____ ________ ____1 20 ____ ________ ____2 50 ____ ________ ____3 90 ____ ________ ____4 120 ____ ________ ____5 140 ____ ________ ____6 150 ____ ________ ____7 155 ____ ____a. Fill in the column of marginal products. Whatpattern do you see? How might you explain it?b. A worker costs $100 a day, and the firm has fixedcosts of $200. Use this information to fill in thecolumn for total cost.c. Fill in the column for average total cost. (Recallthat ATC T 5 C Q/ .) What pattern do you see?d. Now fill in the column for marginal cost.(Recall that MC TC 5 D ∆ / Q.) What patterndo you see?e. Compare the column for marginal productwith the column for marginal cost. Explain therelationship.f. Compare the column for average total costwith the column for marginal cost. Explain…why is the market for recycled aluminium good and the market for plastic bad in the US? Depict this with a firm input choice model. I understand that recycled plastic decreases in qualiy everytime it is recycled while aluminium does not and can be recylced without the decrease in quality, but I dont know how to depict this graphically
- Adam Smith from the Classical School had introduced the “water-diamond paradox” in his Theory of Value. But he did not solve the paradox because he failed to understand the concept of utility. Explain by demonstrating relevant graph how this paradox was solved by William Stanley Jevons from the Marginalist School by using law of diminishing marginal utility.ASAP DECİSİON RULE FOR UTİLİTY MAXİMİZATİON As I understand we choose the good which has higher marginal utility per dollar . BUT MY QUESTİON İs that What if our budget is not end up and the marginal utility per dollar is same for both good What should we do at that point? PLEASE ANSWER MY QUESTİON DONT GİVE CLLASİC DEFİNİTİONExplain, Why is the marginal utility curve declining with incresed consumpition of burgers?
- The law of diminishing Marginal utility is consistent with what peopl trade?We took the case of two goods model. Both of the goods are normal. Explain below the Income Consumption Curve (ICC) in your own words?)ncob buys only milk and cookies.a. In yeor 1, Jocob earns $100, milk costs $2 perqua rt, and cooki es cost S4 per dozen. Ora\"•jacob's budget constraint.b. Now suppose that a ll prices increase by10 percent in yeor 2 ond !hot jacob's salaryincreases by 10 percent as well. Draw jacob'sn<:w budget constraint. How would Jacob'soptimnl combination of milk and cookies in year 2compare to his optimal combination in year 17