QUESTION 5 Player 2 Left Right P1: $15 P1:513 Player 1 Up P2: $3 P2: $4 P1: $16 P1: $0 Down P2:$8 P2: $0 In the game shown above, list all of the Nash Equilbrium (please check ALL that apply) O (up, left) O (up, right) O (down, left) O (down, right) O None
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- 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: $13Player 2 Middle Left P1: $45 P1: $70 Up P2: $45 P2: $50 Player 1 P1: $50 P1: $60 Middle P2: $50 P2: $60 P1: $60 P1: $50 Down P2: $60 P2: $70 In the game shown above, list all of the Nash Equilibrium (please check ALL that apply) (up, left) (up, middle) (up, right) (middle, left) (middle, middle) (middle, right) (down, left) (down, middle) (down, right) No equilibrium Right P1: $45 P2: $60 P1: $50 P2: $70 P1: $60 P2: $60ROWENA 2 Answer 1: 2 Answer 2: 2 Answer 3: 1 Earth Water Wind Answer 4: Fire of the Nash equilibrium, (Rowena's 1 Colin's 3 3 North 1.3 This simultaneous game has two Nash equilibria. The Nash equilibrium, (Rowena's 2 , Colin's 1,2 3,2 2,0 COLIN South 3,1 1,2 2,1 3,0 East 0,2 2,3 1,1 West 1.1 1,1 0,3 2,2 ) has a greater joint payoff than that
- Player 2 Left P1: $40 Player 1 Up P2: $0 P1: $44 Down P2:$44 In the game shown above, list all of the EFFICIENT Nash Equilibrium (please check ALL that apply) (up, left) (up, right) (down, left) (down, right) No efficient Nash Equilibrium Right P1:$1 P2: $1 P1: $0 P2: $40Consider the following simultaneous move game: Player 1 U M D Player 2 L 2,10 2,5 8,7 C 5,2 11,8 8,4 R 5,4 2,9 8,3 In the Nash equilibrium of this game, player 1 receives a payoff of ✓ and player 2 receives a payoff ofGame 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…
- QUESTION 9 D 2 C D D, D OD, C C, D C II C (2,2) (4,0) (0,4) (3,3) In the dynamic game represented by the graph above, the numbers inside paranthesis show the payoffs of Player 1 and Player 2, respectively. The Nash equilibrium of this game is for Player 1 to choose O C, C and Player 2 to choose8) Consider the following game: There are 10 players. Each player is asked to write a number between 0 and 100. The player whose choice is closest to half of the average is the winner. Describe the game and discuss what would you expect to be the average number if the game were played in class with your colleagues. Do you expect them to play the Nash equilibrium strategy? Explain.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
- (The Beckhams' dilemma) Victoria and David are husband and wife. They both prefer ciean to dirty house but neither likes to clean the house. Their payoffs are given in the table below. Victoria Clean Don't clean 0,8 Clean 5,5 David Don't clean 8,0 1,1 a) Let say they play the clean house game only once, what is the Nash equilibrium? b) Let say Victoria and David has to decide whether to clean or not every day for indefinite number of days. How grim-trigger strategy will be our subgame perfect Nash equilibrium? In other words, what is the patience rate that ensure Victoria and David maintain the cleanliness of the house?This table shows a game played between two players, A and B. The payoffs in the table are shown as (Payoff to A, Payoff to B). B Right (2, 2) (1, 3) Left (3, 1) (0,0) Up A Down Which outcome is the Nash equilibrium in this game? (Up, Right) (Up, Left) (Down, Right) (Down, Left)Consider the following simultaneous move game where player 1 has two types. Player 2 does not know if he is playing with type a player 1 or type b player 1. Player 2 C D Player 1 A 12,9 3,6 B 6,0 6,9 C D A 0,9 3,6 B 6,0 6,9 Type a Player 1 Prob = 2/3 Type b Player 1 Prob = 1/3 Find the all the possible Bayesian Nash Equilibriums (BNE) of this game.