Suppose that Jason and Chad each are thinking of opening up a diet coke stand on the fourth floor of this building. Suppose that potential customers are evenly spaced on a distance that is normalized to 1. Customers will buy a diet coke from whichever stand requires the least walking. If they are the same distance the customer will flip a coin. This is depicted below. 1/4 1/2 3/4 If Jason is currently at 3/4, what is Chad's best response? a. Just left of 3/4 b. 1/2 c. Just right of 3/4 d. Just left of 1/2
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- 32.19. Standard setting. Suppose Apple and Samsung are in the process of negotiating a common standard for a new 3D camera tech- nology they plan to introduce in the next generation of smartphones. Apple has a preference for standard A, whereas Samsung has a pref- erence for standard S. However, both recognize that multiple stan- dards are a worse outcome for all. Specifically, Apple gets 240 if it selects A and Samsung does so too, but only 20 if Samsung does not adopt A. If Apple adopts standard S and Samsung does so too, then Apple gets a payoff of 190. If, however, Samsung chooses A then Ap- ple gets zero. For Samsung, the situation looks similar: If Samsung chooses standard S and Apple does the same then Samsung gets 210, but if Apple chooses A the Samsung's payoff is only 30. If Samsung opts for standard A and Apple does so too then Samsung gets a pay- off of 110, whereas if Apple chooses standard S then Samsung gets a payoff of zero. (a) Suppose that both Apple and Samsung…You and a coworker are assigned a team project on which your likelihood or a promotion will be decidedon. It is now the night before the project is due and neither has yet to start it. You both want toreceive a promotion next year, but you both also want to go to your company’s holiday party that night.Each of you wants to maximize his or her own happiness (likelihood of a promotion and mingling withyour colleagues “on the company’s dime”). If you both work, you deliver an outstanding presentation.If you both go to the party, your presentation is mediocre. If one parties and the other works, yourpresentation is above average. Partying increases happiness by 25 units. Working on the project addszero units to happiness. Happiness is also affected by your chance of a promotion, which is depends on howgood your project is. An outstanding presentation gives 40 units of happiness to each of you; an aboveaverage presentation gives 30 units of happiness; a mediocre presentation gives 10 units…
- Exercise 6.1Suppose that two airlines decide to collude. Analyse the game between these two companies. Suppose that each of them can charge for tickets a high price or a low price. If one of them charges 100 euros, it gets few profits if the other also charges 100 euros and high profits if the other charges 200 euros. On the other hand, if the company charges 200 euros, it obtains very little profit if the other charges 100 euros and an average profit if the other also charges 200 euros. a) Represent the matrix of results of this game. b) What is the Nash equilibrium in this game? Explain your answer. c) Is there an outcome that would be better than the Nash equilibrium for the two airlines? How could it be achieved? Who would lose out if it were reached?you 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…Suppose that the University of Alabama and Clemson are making spending decisions for theupcoming year. Assume that Alabama is currently spending $15 million on their recruiting andfacilities, and Clemson is spending $10 million. Each team has an additional $5 million to spendor keep as profits. If they both choose to not spend the additional $5 million then Alabama hasa 60% chance of getting the highest quality quarterback recruit to commit to them (getting thecommitment of the player is the goal). However, if they both choose to spend the additional $5million then there is a 57% chance that Alabama gets the high quality quarterback to commit. IfAlabama spends the additional $5 million but Clemson doesn’t then there is a 67% chanceAlabama gets the recruit. However, if Alabama does NOT spend the additional $5million butClemson does then there is a 50% change either team gets the recruit’s commitment. Setup thepayoff matrix and label the players, their strategies, and their payoffs, and…
- 2. There are two ice-cream stores, each of whom chooses a position from ten spots along the beach: spot 1, 2, 3, ...10. The ten spots are lined up and separated 100 meters from each other. 1 2 3 4 5 6 7 8 9 10 The consumers are equally distributed across these ten spots. Consumers buy from the store whose spot is closest to theirs. If the two stores are equidistant from a given spot, the consumers at that position split their consumption equally. The aim of the ice-cream stores is to maximize their share of the total ice-cream consumption. a. Is there any dominated strategy? If so, spell out explicitly how one strategy is dominated by another strategy. b. Is there any iterated dominance equilibrium?Sophia is a contestant on a game show and has selected the prize that lies behind door number 3.The show’s host tells her that there is a 50% chance that there is a $15,000 diamond ring behindthe door and a 50% chance that there is a goat behind the door (which is worth nothing to Sophia,who is allergic to goats). Before the door is opened, someone in the audience shouts, “I will giveyou the option of selling me what is behind the door for $8,000 if you will pay me $4,500 for thisoption.” [Assume that the game show allows this offer.]a. If Sophia cares only about the expected dollar values of various outcomes, will she buythis option?b. Explain why Sophia’s degree of risk aversion might affect her willingness to buy thisoptionPlease explain in detail asap..tysm
- 7First Player can invest $1.00 with Second Player. Second Player chooses whether tc cooperate and make the promised investment, or appropriate and keep First Player'a $1.00. Based on the payoff matrix shown below (first player payoffs on bottom left of cell, second player payoffa on upper right of cell), what will be First Player's payoff if contracis are not enforceable? Second Player Cooperate Appropriate Invest 1.5 1.0 First Player 1.5 -1.0 Don't InvestYou like your job, but your boss gives lousy bonuses. You were recently offered a new job with better rewards and your friend wants to know if you intend to take it. You say, "It depends on whether the bonus this year is generous, Let's wait and see. We'll find out next week" The likely outcome of this game is your boss gives you a ousy :bonus and you ept the new job. If you want to stay at your current job and be better rewarded, you could improve your strategy if you: demand an increase in your bonus by a certain amount, but does not tel your boss about the job offer. adopt a dominant strategy to accept the other position and make this known to your boss. O tell the boss about the job offer you are prepared to take if your bonus structure does not increase by a certain amount. Cadopt a dominant strategy to stay at your current position and make this known to your boss.