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- 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…Derive all of the rationalizable strategies for the game shown.What term refers to the optimal action that a player can take, regardless of the opponents' actions? Oa Nash strategy a payoff strategy a cooperative strategy a dominant strategy
- would it be -3? if not, how do i find it? game theoryThe 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 3,40Japan's Elpida Memory entered court management and was acquired by Micron. The media reportedthat it was the result of the semiconductor chicken game.■Question (a) Where is the Nash Equilibrium?■Question (b) What is the mixed-strategy equilibrium? – find out x and y■Question (c) What is the probability of a chicken game?
- Please help awnser 7. Game TheoryAlice and Bob playing the following 2x3 game. In the payoff matrix below, Alice’s payoffsare the first number and Bob’s are the second number.Consider the Normal Form Game characterized in the following figure: P1 \ P2 A1 A2 A3 A4 B1 B2 B3 B4 (-1,1) (0,0) (1,-1) (2,0) (-2,-2) (2,7) (-1,-1) (-1,1) (5,7) (3,5) (0,0) (0,8) (0,3) (-1,-1) (10,2) (0,0) Which is the set of rationalizable actions? O (A2, A4)x(B2, B3) O (A1, A2)x(B1, B2, B4) O (A1, A3)x(B1, B4) O (A1, A3, A4}x{B1, B3)From your own understanding on the concept of “Game Theory”, what can you conclude about the relationship between rules of the game and the outcome that results?
- What is the link between game theory and market structures? Which market structure is game theory more linked to?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, 17Nash Equilibrium (NE) A: Period 1 B: A A: 4 A: 2 B: 1 B: 2 Period 2 Nash Equilibrium (NE) Nash Equilibrium (NE) A: A: B: B: A: 6 A: 4 A: 7 A: 5 A: 4 A: 2 A:5 A: 3 B: 6 B: 7 B: 4 B: 5 B: 7 B: 8 B:5 B: 6 d. Solve the game by the Rollback method. Identify the dominant strategies and circle the Nash Equilibrium for each subgame and write it above its starting node. е. How has the penalty changed the firm's behavior?