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- 7 Find all subgame perfect equilibria of the gameConsider the following normal form game Player 2 L C R Player 1 5,4 4, 5 3,8 8,3 8,0 8,8 5,5 6,3 0,8 UMDConsider the game below: Player C Strategy C1 50, 50 Strategy C2 Strategy R1 Strategy R2 Player R 800, 800 1000, 1000 100, 100 Playing the game sequentially would result in C getting: 100 800 It depends if R plays first or second 50 1,000
- 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?Consider the following extensive form game between player 1 and player 2. T B (2, 2) L R R (3, 1) (0, 0) (5, 0) (0, 1) (a). Find the normal form representation of this game. (show the bimatrix) (b). Find all pure strategy NE. (c). Which of these equilibria are subgame perfect?UI. In American football, the offense can either run the ball or pass the ball, whereas the defense can either anticipate (and prepare for) a run or anticipate (and prepare for) a pass. Assume that the expected payoffs (in yards) for the two teams on any given down are as follows: (a) (b) (c) (d) OFFENSE Run Pass Anticipate Run 1,-1 DEFENSE 9,-9 Anticipate Pass 5,-5 3, -3 Show that this game has no pure-strategy Nash equilibrium. Find the unique mixed-strategy Nash equilibrium of this game. Explain why the mixture used by the offense is different from the mixture used by the defense. How many yards is the offense expected to gain per down in equilibrium?
- QUESTION 9 y a 3, 5 4, 2 4, 1 2, 3 b 2, 4 6, 6 5, 1 1, 2 1,3 7,3 4, 2 3, 7 d 1, 2 5, 2 3, 4 4, 1 How many rationalizable outcomes are there in this game? Give your answer as a whole number. C.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 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
- 3) Consider the following two extensive form games and answer the following questions. How many subgames present in the following games? Find all pure strategies SPNE. Find all pure strategies NE of these games. Game A Game B u (5,3) u (0,2) 2 2 L L (-5,4) d (0,0) 1 1 1 (1,-5) (-10,-10) u R (2,3) A M 2 R 2 r d 1 (8,1) B (2,0) (2,2)(a) Compute the Nash Equilibrium in pure strategies of the game above. (b) Compute the subgame perfect Nash equilibrium.(c) Compute the perfect Bayesian euilibrium. (I need help with how to solve these questions in detail)Aedri Quick Lesson in Game Theory A Nash Equilibrium is an outcome in which neither player is better off by changing their strategy. 2.7 Is a Dominant Strategy equilibrium also a Nash equilibrium? a) Yes b) No esc The Ice Cream Guys $3.99 $4.99 + Chucky's Chunky CCT: $20,000 $3.99 ICG: $20,000 CCT: $60,000 ICG: $10,000 tab Treats CCT: $10,000 $4.99 ICG: $60,000 CCT: $40,000 ICG: $40,000 The table above is the payoff matrix for the annual profit of the only two ice-cream-truck firms operating in Beach City. They are deciding the price of an ice cream cone. %3D caps lo 2.8 What is Chucky's dominant strategy? a) $3.99 b) $4.99 c) Not enough information hift 2.9 What is the dominant strategy equilibrium in this situation? a) Both charge $3.99 b) Both charge $4.99 c) CCT charges $3.99 and ICG charges $4.99 d) CCT charges $4.99 and ICG charges $3.99 2.10 Suppose these two firms engaged in collusion (which, of course, totally doesn't happen because it is against the law). Which outcome would…