Exercise 4.9 Find the Nash equilibria and the subgame-perfect equilibria of the game shown in Figure 4.23. A E 3 2 F 1 B 2 G H G H 224 2 0 1 453 D 3 0 0 432 Figure 4.23: The game of Exercise 4.9
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- 10. Game theoryExercise 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?Game Theory Question A non-profit firm is on a local community online donation platform for a community event it wants to hold (only community members can donate via the website). The event will be held only if the non-profit firm collects $20,000 total from members of the community. Each member values the event at $500. Suppose that there are 100 community members. Community members can only donate by purchasing a lottery ticket from the firm. Each ticket costs $200 and only one ticket can be purchased per member. The proceeds will be collected by the firm. The lottery winner gets a premier meal at a local restaurant that's worth $100. Remember, the firm keeps all the donated money. If the amount of donations is less than $20,000, then the firm returns the donated money to the community members (since there'll be no event held but the lottery winner still gets to eat that fancy meal). If the donations sum up to $20,000, the community event will take place. What are the Nash…
- What are Nash Equilibria in the following game? Select all that apply. Tasty Pizza (Veggie, 7 meats) Veggie 20,89 (Veggie, Seafood) BBQ (Veggie, Jazz) (BBQ, 7 meats) (BBQ, Jazz) Prawn (BBQ, Seafood) (Prawn, 7 meats) (20,8) (Prawn, Seafood) (18,12) (Prawn, Jazz) (18,17) Pizza Jazz 7 meats Seafood 19, 13 20, 17 9,8 9, 12 9,9 Jazz 9,8 18, 12 18, 17What are Nash Equilibria in the following game? Select all that apply. Pizza Jazz 7 meats Seafood Jazz Veggie 20,7 9,8 9,8 Tasty Pizza BBQ 20, 13 9, 12 18, 12 Prawn 20, 7 9,9 18, 17 (Veggie, 7 meats) (Veggie, Seafood) (Veggie, Jazz) (BBQ, 7 meats) (BBQ, Seafood) (BBQ, Jazz) (Prawn, 7 meats) (Prawn, Seafood) (Prawn, Jazz) (9,8) O (20,13) (18,7)Sub : EconomicsPls answer very fast.I ll upvote. Thank You In each of the following games, how many pure strategies (complete plans of action) are available to each player? List all of the pure strategies for each player.
- し(5,3) b I(2,2) も(0,0) (4,12) a (12.4) (0,0) i). List all subgame pertect Nash equilibria and name one Nash eqvilibrivm that is not subgame pertect i). How many strategies does playot and player 2 have?Sub : EconomicsPls answer very fast.I ll upvote correct answer. Thank You In each of the following games, how many pure strategies (complete plans of action) are available to each player? List all of the pure strategies for each player.Game Theory de Drew Fudenberg, Jean Tirole. Exercise 2.6**
- The bimatrix represents a simultaneous move game between Rowena and Colin. Rowena's payoff is the left number in each cell. ROWENA Up Down 0.25Left +0.75Right 0.65Left +0.35Right Find Colin's mixed strategy that makes Rowena indifferent between a pure strategy of playing Up and a pure strategy of playing Down. 0.5Left +0.5Right Left 1,16 2,20 0.45Left +0.55Right COLIN Right 4,6 3,40N=2 video broadcasting websites, You and Twi, must decide the number of minutes of ads to be displayed for every video that the user elects to watch. Let tY be the number of ad-minutes per video set by You, and tT the number of ad-minutes per video set by Twi. Streaming one video costs You cY=0.02, while it costs Twi cT=0.03. There are 100 million potential users, and each watches videos according to the following demand curves: qY((tY,tT) =10-2tY+tT=10-2tT+tY a- What is the cross-price elasticity between You and Twi? b- Suppose, for now, that You and Twi enter an (illegal) agreement by which they set tY=tT=t Derive the total number of users in the market as a function of t. Derive the profits for each website as a function of t. c- Now let the two platforms compete by each setting their number of ad-minutes: i. What is the best reply of You? What is the best reply of Twi? ii. Find the Nash Equilibrium of the game. iii. How many total users choose You and how many total users choose…Use the decision tree below to answer the following question Aggression Lee: -10; Cody: -10 Cody Aggression Cooperation Lee: 40; Cody: 0 Lee Соорeration Aggression Lee: 0, Cody: 4o Cody Cooperation Lee: 25; Cody: 25 What is the Subgame Perfect Equilibrium (SPE) of this game? O {Lee: Aggression; Cody: Aggression} O {Lee: Aggression; Cody: Cooperation} O {Lee: Cooperation; Cody: Aggression} O {Lee: Cooperation; Cody: Cooperation}