4. What type of game is this? Player 1 / Player 2 A B A 0,0 5,3 a. Cournot game b. Prisoner's Dilemma game C. Coordination game d. Chicken game e. Rock, paper, scissors game B 4,6 0,0
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- 1Problem 1. You are given the following bimatrix games. For each one, find all pure Nash equilibria. (a) (Prisoner's Dilemma) Player 2 Quiet 2, 2 3,0 Fink Quiet Fink 0,3 1,1 Player 1 (b) (Matching Pennies) Player 2 Нead Head 1,-1 Tails -1,1 Player 1 Tails -1,1 | 1, -1 (c) (Battle of the Sexes) Girl OK, football... OK, theatre... Football! Theatre! 1,5 0,0 0,0 5,1 Boy (d) (Battle of the Sexes... modified) Girl Football great, I will invite my dad Theatre! OK, football... OK, theatre... Football! 1,5 0,0 0,0 5, 1 0,0 -1 , 2 BoyPlayer 2 Left Right P1: $4 Player 1 Up P2: $1 P1: $10 Down P2:s10 Which of the Nash Equilibrium to this game are efficient? [Check all that apply] A) (up, left) B) (down, left) C None are efficient (D) (up right) E (down, right) Last saved 4:31:15 PM P1:S1 P2: $6 P1: $0 P2: $11 Grading
- Use the following extensive-form game to answer the following questions. a. List the feasible strategies for player 1 and player 2. b. Identify the Nash equilibria to this game. c. Find the subgame perfect equilibrium.4. Correlated EquilibriaConstruct an example (not one from class or the reading) of a Normal form game with a correlated equilibrium that is not a Nash equilibrium.оооооооооо Player 1 (up, left) (up, middle) right) (up, (middle, left) (middle, middle) Up (middle, right) (down, left) (down, middle) (down, right) No equilibrium Middle In the game shown above, list all of the Nash Equilibrium (please check ALL that apply) Down Left P1:$13 P2: $22 P1: $12 P2:$15 P1:$10 P2:$0 Player 2 Middle P1:$2 P2:$13 P1:$5 P2: $18 P1:$3 P2: $0 Right P1: $22 P2:$21 Pl: $31 P2:$7 P1:$34 P2:$1
- 5. Aaron and Betty play the following one-shot game. Aaron Up Middle Down Left 10,0 5,10 1,1 Betty Right 0,5 1,0 2,2 a. Does the game above have any (pure strategy) Nash equilibria? Find any equilibria or explain why an equilibrium doesn't exist. b. Suppose instead that Aaron moves first and Betty moves second. Represent this situation with a game tree and find the subgame perfect Nash equilibrium. Are Aaron and Betty better off playing a simultaneous game or a sequential game in which Aaron moves first? Explain. c.6) The following is a static game D 2,2 0,3 D 3,0 1,1 a) Convert this game into dynamic form game b) Find the Nash equilibrium and subgame perfect Nash equilibrium of this game. c) If you consider this game as dynamic then what kind of dynamic game is this.Full explain this question and text typing work only
- Player 1 оооо Up (up, left) (up, right) (down, left) (down, right) None Down Player 2 Left P1: $15 P2: $15 In the game shown above, list all of the Nash Equilibrium (please check ALL that apply) P1: $12 P2: $18 Right P1:$11 P2: $16 P1: $13 P2: $1338. Consider the following game. There are ten churches in town: nine are Catholic and one is Eastern Orthodox. All churches conduct their divine services at 10am on Sunday morning. You and your friend, without communication, agree to meet at a church service. If you fail to meet at the same church, then you are sad and become a Doomer. What is this game's focal point? Remember that you cannot communicate about this. (A) You meet at any of the Catholic churches. (B) You meet at any of the churches – denomination does not matter. We're all the same bro. (C) You meet at the Orthodox church. (D) There is no focal point. 39. Consider a fractional-reserve banking system in which an initial deposit of $1,000 can generate up to $4,000 in money. What is the reserve ratio? (A) 4 percent. (B) 5 percent. (C) 25 percent. (D) 75 percent.Player 1 Cooperate (C) Defect (D) Cooperate (C) 3,3 8,0 Player 2 Defect (D) 0,8 1,1 In general, a combination of strategies is a Nash equilibrium if ... Every player is choosing a best response against the other players' strategies. Every player has a positive payoff. The players maximize the sum of their payoffs. The players choose identical strategies. If the game is repeated, which cooperative actions could benefit both players? O Both players choose C. Player 1 chooses C, Player 2 chooses D. O Player 1 chooses D, Player 2 chooses C. Both players choose D.