Mohamed and Kate each pick an integer number between 1 and 3 (inclusive). They make their choices sequentially.Mohamed is the first player and Kate the second player. If they pick the same number each receives a payoff equal to the number they named. If they pick a different number, they get nothing. What is the SPE of the game? a. Mohamed chooses 3 and Kate is indifferent between 1, 2 and 3. b. Mohamed chooses 3 and Kate chooses 1 if Mohamed chooses 1, 2 if Mohamed chooses 2, and 3 if Mohamed chooses 3. c. Mohamed chooses 1 and Kate chooses 1 if Mohamed chooses 1, 2 if Mohamed chooses 2 and 3 if Mohamed chooses 3. d. Mohamed chooses 3 and Kate chooses 3.

1

fast i will 10 upvotes

Question > Consider the following matrix game where Player 1 moves first then Player 2 observes player 1's move and responds. Draw the game tree for the sequential move game and then determine all the Nash equilibria. Player 1 Strategy A Strategy B Strategy C Strategy D -3, -2 10, 12 9, 20 Player 2 Please show each step on how to get the answer. Thank you! Strategy E 13,7 17, 17 12, 21 Strategy F 20,8 22, 16 19, 19

6. There are two players. The strategy of player 1 is x, the strategy of player 2 is y. The payoffs are U (x, y) = 2xy – x² and U2(x, y) = 12y + xy – y². What is the NE?

7

What 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)

Player 2 Left Center 30, 40 6, 20 20, 20 Right 21, 24 32, 35 10, 5 Up Middle 5, 5 40, 11 Player 1 Down 38, 42 Use the information in the game matrix above to answer questions #3 and # 4. 3. If both Players move simultaneously, then a. Player 1 has a dominant strategy, and Player 2 does not. b. Player 2 has a dominant strategy, and Player 1 does not. c. There is more than one pure strategy Nash Equilibrium. d. Both players have a dominant strategy. e. There are no Nash Equilibria in pure strategies. 4. If Player 1 moves first, then is the subgame perfect equilibrium. a. (Up, Left) b. (Middle, Center) c. (Middle, Right) d. (Down, Left) e. (Down, Center)

None