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- 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…learn.canterbury.ac.nz Clasarsom Nov 15-ICO EUC LEARN | AKO See the game below and answer the questions 8 to 11: Player-1 C Player-2 X, Y Y Player-1 9 14 8. Player-2 16 17 16 Nash Equilibrium in this game: Select one: O a. Playert: C; Player2: X O b. Playert: C; Player2: Y Oc. Playert: L; Player2: X Od. Playert: L; Player2: Y e. None12. Consider a game where each player picks a number from 0 to 60. The guess that is closest to half ofthe average of the chosen numbers wins a prize. If several peopleare equally close, then they share theprize. The game theory implies that (A) all players have dominant strategies to choose 0 (B) all players have dominant strategies to choose 30 (C) there is a Nash equilibrium where all players pick 0 (D) there is a Nash equilibrium where all players pick positive numbers 13. Behavioral data in such games suggests that (A) most subjects choose 0; (B) most subjects choose 30; (C) common answers include 30, 15, 7.5, and 0; (D) most subjects use randomization. Can you help me answer number 13 please?
- 88 10 ino 91 p on 12 of 20 > Which trigger strategy does NOT allow for any forgiveness when one player deviates from the cooperative strategy? O trembling hand trigger tit-for-tat O ultimatum trigger 10:45 PM Rain... ENG 11/21/2021 delete home pua prt sc dn 6d 4+ 144 114 num lock backspace 00 6 L home D. enter pause ↑ shiftSuppose 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…Question Completion Status: II -10 -20 3. -30 -10 2. -20 3 -30 Write a normal form for this game. How many pure-strategy Nash Equilbria are there in this game? OA1 OB.2 OC3 OD.4 OES OF. More than 5
- 2. Consider the following Bayesian game with two players. Both players move simultaneously and player 1 can choose either H or L, while player 2's options are G, M, and D. With probability 1/2 the payoffs are given by "Game 1" : GMD H 1,2 1,0 1,3 L 2,4 0,0 0,5 and with probability 1/2 the payoffs are according to "Game 2" : G |M|D H 1,2 1,3 1,0 L 2,4 0,5 0,0 (a) Find the Nash Equilibria when neither player knows which game is actually played. (b) Assume now that player 2 knows which one among the two games is actually being played. Check that the game has a unique Bayesian Nash Equilibrium.0 E F 3 2 FIGURE 2 23 D G 2 H 0 1 (2) Two friends, Albert (A) and Berta (B), have to decide on going to one of three bars, Xenia's (X), Yara's (Y), or Zana's (Z). They decide to select a bar by alternatively vetoing bars until one remains. First Albert vetoes a bar. If at least two bars remain, then Berta vetoes another bar. That process continues until a single bar remains unvetoed. Suppose Albert prefers Xenia's to Yara's to Zana's and Berta prefers Zana's to Yara's to Xenia's. Assume that, for each of the two, going to their most preferred bar gives a utility of 2, going to their next preferred bar gives a utility of 1, and going to their least preferred bar gives a utility of 0. Model this as an extensive form game and find its Nash equilibria. Which of the Nash equilibria are subgame perfect?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)
- Karen goes to the casino with 1000$ and plays the following strategy: In her first game, she putsin 1$. If she wins, she finishes playing and takes her profit home. If she looses a game, she willplay another game and put in twice as much money as she did in the previous game. If she wins,she will finish playing and take her profits home. She will keep going with that strategy, untilshe either wins a game or runs out of money.(a) Create a table for n = 1, 2, ..., 10 which lists: (a) The amount of money she puts in in game n;(b) the sum of the amount of money she has put in in all games up to this game n; and (c)her overall profit if the game n is the first game she wins.(b) What is the likelihood of her loosing 8 games in a row?(c) How many games can she loose in a row before she cannot afford to continue with herstrategy of doubling her bet?(d) Given the low likelihood of loosing, is this a smart strategy for Karen to pursue?A firm plans to expand its product line and faces a dilemma whether to build a small or largefacility to produce new products. If it builds a small facility and demand is low, the NPV afterdeducting for building costs will be four hundred thousand pesos. If demand is high, the firm caneither maintain the small facility or expand it. Expansion would have an NPV of four hundredfifty pesos while maintaining the small facility would have an NPV of fifty thousand pesos. If alarge facility is built and demand is high, the estimated NPV would be eight hundred thousandpesos. If demand turns out to be low, the NPV would be a loss of ten thousand. The probabilitythat the demand is high is estimated to be sixty percent.a. Analyze using a decision tree.b. Compute for EVPI.c. Determine the range over which each alternative would be best in terms of the valuewhen demand is low.A6. 1.Adam and Zoey are competing fish and chips sellers in Linear City. They are located at the twoopposing ends of the town’s 3-mile-long Main Street. The 1700 inhabitants of the town are distributeduniformly on Main Street and each of them eats at most one portion of fish and chips for lunch. People’sdisutility from getting to a fish and chips stand and back home amounts to $2 for each mile of distanceto the stand. The marginal cost of producing one portion of fish and chips is $9. The consumers areuniformly distributed along the street. Each consumer has a valuation of $29.0 for the product. Supposethat both Zoey and Adam can advertise at zero cost to inform everyone about their business. Find theequilibrium price of Zoey if neither of the two sellers advertises.