6. The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: APIE State of Nature Decision Alternative d₁ $1 $2 10 d₂ 4
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What P(s1) would the decision-maker be indifferent between the "buy" and "make" decisions, all other data input remaining the same?
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- 34. Which one would have the greatest effectA physician purchases a particular vaccine on Monday of each week. The vaccine diust be used within the week following, otherwise it becomes worthless. The vaccine costss $ 2 per dose and the physician charges $ .4 per dose. In the past 50 weeks, the physician has administered the vaccine in the following quantities : Doses per Week Number of Weeks 20 25 15 50 25 60 On the basis of EMV, find how many doses the physician must purchase each week to maximise his profits ?3. Find the saddle point, if it exists, for the following game. (b) Solve the following game by using the principle of dominance and find the probabilities of strategies for each player and the value of the game. Player B Player A II III IV V 3 4 4 II 2 4 III 4 4 IV 4 4 20 2420 8760
- Find the EVPI for the below Payoff table: 162 126 320 194 State of nature 1 2 3 Probabilit y 0.3 0.4 0.3 Acts B 20 0 -20 -50 200 -100 -50 30 400 600 0you and a friend decide to run a three mile race. If you agree to run together, you keep up with himfor the first mile, but you overexert yourself and run the last two miles at slower paces on your own. Tomake up for lost time, your friend runs the last two miles at a faster pace. Your mile times are 6:30, 7:00,and 7:30. Your friend’s times are 6:30, 6:00, and 6:00. If you both agree to run on your own, you run aconstant pace of 7:05 while your friend runs at a constant pace of 6:05. If you want to run together butyour friend wants to run solo, he runs his constant pace of 6:05. You, on the other hand, want to showhim that you can run faster, but you end up overexerting yourself after the first mile. You run times of6:20, 7:05, and 7:30. If he wants to run together but you do not, you both run at your pace of 7:05. Thissituation can be turned into an economic game, with the payoffs the overall race times. You each wantto run the fastest time you possibly can.(a) Who are the players in…Question Completion Status: Gekko QUESTION 8 Good Quality a Poor Quality SERDE 1 INSGE 19 2 Good Quality Wonka 10 Gekko = 10 Wonka = 12 Gekko = 9 1 Wonka Refer to Table 17-7. Wonka and Gekko agree to cooperate so as to maximize total profit. If this game is played repeatedly and Wonka uses a tit- strategy, it will choose a O a. good quality product in the first round and in subsequent rounds it will choose whatever Gekko chose in the previous round. O b. poor quality product in all rounds, regardless of the choice made by Gekko. C. good quality product in all rounds, regardless of the choice made by Gekko. d. poor quality product in the first round and in subsequent rounds it will choose whatever Gekko chose in the previous round. Poor Quality Wonka = 9 Gekko = 12 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Wonka = 11 Gekko = 11 O Pleshow! www 0 R Aa
- What is the problem of moral hazard?Find all NE of the stage game.(b) Consider a two-period game without discounting in which the stage game is played ineach period. Find all pure strategy SPNE.(c) What’s the min-max payoff of each player?(c1) Consider pure strategies only.(c2) Consider all strategies, including the mixed ones.(d) Now suppose the stage game is repeated infinitely many times. Use the Fudenberg-Maskin Folk theorem to find all possible values of payoff that can be supported as aSPNE.A cool kid is willing to rename himself for a profit. He decides to auctionoff the naming right. Two bidders show interest. Their valuations for thenaming right are independently and uniformly distributed over [0,100].There are several possible ideas to design the auction.(a) The auction runs as follows. Both bidders are invited to the sameroom; an auctioneer will start the auction with an initial price 0, and increase it by $1 every minute. The bidders are not allowed to say anything during the process, but they can walk out of the room at any moment. If one bidder walks out of the room when the price increases to p (the bidder does not need to pay), the remaining bidder will be awarded the naming right for a price of p. If both walk out when the price reaches p, the naming right is not assigned and the two bidders do not need to pay. What should the bidders do? Explain your answer. (b) Both bidders are invited to submit their bids covertly (bids are non-negative real…
- 1. A dealer decides to sell a rare book by means of an English auction with a reservation price of 54. There are two bidders. The dealer believes that there are only three possible values, 90, 54, and 45, that each bidder’s willingness to pay might take. Each bidder has a probability of 1/3 of having each of these willingnesses to pay, and the probabilities for each of the two bidders are independent of the other’s valuation. Assuming that the two bidders bid rationally and do not collude, the dealer’s expected revenue is approximately ______. 2. A seller knows that there are two bidders for the object he is selling. He believes that with probability 1/2, one has a buyer value of 5 and the other has a buyer value of 10 and with probability 1/2, one has a buyer value of 8 and the other has a buyer value of 15. He knows that bidders will want to buy the object so long as they can get it for their buyer value or less. He sells it in an English auction with a reserve price which he must…There are 2 players. They take Ston eS From the Pilt of 6 Stones. Player 1 can takt only 2 or 3 Stones. piayer 2 can taKeS only 2 or 4 StonesS. P layers take turns, observe dil Previous moves, and player 1 mover first. A pla yer loses if She can not make a legal move, While another player ir declared the Winner. Let the pay oF OF Winning egval to 1 and the payoFF OF losing equal to 0. a) represent the in ɛxtemsive Form (depict Only legalmoes) b) Find all SPNE OF this game& explain your a mwwer. Who Will Win ? game Only legalmar)Creative Homework!Shorr Project Assume that you area marketing consultant for one of the clients in ilem14.16. You believe that the business would benefitfrom nontraditional marketing. Develop seve<al ideasfor social-media tactics that you feel would be successful for the client
