Exercise 1.4. There are two players. Each player is given an unmarked envelope and asked to put in it either nothing or $300 of his own money or $600. A referee collects the envelopes, opens them, gathers all the money, then adds 50% of that amount (using his own money) and divides the total into two equal parts which he then distributes to the players. (a) Represent this game frame with two alternative tables: the first table showing in each cell the amount of money distributed to Player 1 and the amount of money distributed to Player 2, the second table showing the change in wealth of each player (money received minus contribution). (b) Suppose that Player 1 has some animosity towards the referee and ranks the outcomes in terms of how much money the referee loses (the more, the better), while Player 2 is selfish and greedy and ranks the outcomes in terms of her own net gain. Represent the corresponding game using a table. (c) Is there a strict dominant-strategy equilibrium?

Three players (Allen, Mark, Alice) must divide a cake among them. The cake is divided into three slices.The table below shows the value of each slice in the eyes of each of the players.   S1 S2 S3 Allen $7.00 $6.00 $5.00 Mark $4.00 $4.00 $4.00 Alice $5.00 $4.00 $6.00 Which of the slices does Allen deem fair? Group of answer choices S1 and S2 S1 and S3 S2 and S3 S1, S2, and S3 S1 only

True/False a. Consider a strategic game, in which player i has two actions, a and b. Let s−i be some strategy profile of her opponents. If a IS a best response to s−i, then b is NOT a best response to s−i. b. Consider the same game in (a). If a IS NOT a best response to s−i, then a does NOT weakly dominates b. c. Consider the same game in (a). If a mixed strategy of i that assigns probabilities 13 and 23 to a and b, respectively, IS a best response to s−i, SO IS a mixed strategy that assigns probabilities 32 and 13 to a and b, respectively. d. Consider the same game in (a). If a mixed strategy of i that assigns probabilities 13 and 23 to a and b, respectively, is NOT a best response to some strategy profile of her opponents, s−i, NEITHER is a mixed strategy that assigns probabilities 32 and 13 to a and b, respectively. e. Consider the same game in (a). If a IS a best response to s−i, SO IS any mixed strategy that assigns positive probability to a. f. Consider the same game in (a). If a…

ADVERSE SELECTIONSomet Health Insurance Company wants to sell a health insurance product for $700 permonth. There is no requirement for healthy people to have insurance coverage. Thecompany conducts a survey to see how different populations respond to the proposed cost.People with no illnesses and disabilities, generally the young and healthy, respond that theydo not spend $700 on healthcare in an entire year, and most feel they would not waste somuch money on premiums when the chance of needing surgery or expensive healthcaretreatments is so small. However, older, sicker people think that $700 per month is a greatdeal, as most of them spend far in excess of this amount on healthcare. It seems like agreat deal for them.    What will happen to the costs of the health insurance if only the older, sicker peopleenroll?

For the students of the college, the visual appearance of the campus is _______(rival/nonrival) and ______(nonexcludable/excludable). Thus, the visual appearance would be classified as a public good. Suppose the college administrators estimate that the beautification initiative will cost $34,980. To decide whether the initiative should be undertaken, administrators conduct a survey of the college's 1,460 students, asking each of them their willingness to pay for the beautification project. The average willingness to pay, as revealed by the survey, is $32. The benefit of the beautification initiative, as suggested by the survey, is $_______. Because the estimated benefit is _______(less/greater) than the cost, the college administrators _______(should not/should) undertake the beautification initiative. The calculation of the benefit of the beautification initiative relied on the ability of the administrators to capture the true willingness to pay of each student accurately. Which…

In the game of blackjack as played in casinos in Las Vegas, Atlantic City, and Niagara Falls, as well as in many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 45%. Find the probability that an average player wins. a.Twice in 5 hands. b. Ten or more times in 25 hands. Arrivals 0 1 2 3 4 5 6 7 8 Frequency 14 31 47 41 29 21 10 5 2

Two identically able agents are competing for a promotion. The promotion is awarded on the basis of output (whomever has the highest output, gets the promotion). Because there are only two workers competing for one prize, the losing prize=0 and the winning prize =P. The output for each agent is equal to his or her effort level times a productivity parameter (d). (i.e. Q2=dE1 , Q2=dE2). If the distribution of “relative luck” is uniform, the probability of winning the promotion for agent 1 will be a function of his effort (E1) and the effort level of Agent 2 (E2). The formula is given by...Prob(win)=0.5 + α(E1-E2), where α is a parameter that reflects uncertainty and errors in measurement. High measurement errors are associated with small values of α (think about this: if there are high measurement errors, then the level of an agent’s effort will have a smaller effect on his/her chances of winning). Using this information, please answer the following questions. Both workers have a…

An experiment consists of asking 3 women at random if they wash their dishes with brand X detergent.   List the elements of S corresponding to event E that at least 2 of the women use brand X

For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table.   Black Silver White Korea 33 34 35 Japan 23 9 24 America 16 25 34 Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is a black or white car manufactured in Korea. not manufactured in Japan. is a white car, given that it was manufactured in America. Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. Are the events ‘Korea’ and ‘Black’ Independent? Justify your response

Pls answer all three question, pls explain the correct option in 5-6 sentences.