When Dessie chooses up, Habtamu will choose right as 8>3. when Dessie chooses down, Habtamu will choose left as 4>3
When Habtamu chooses left, Dessie will choose down as 6>4. when Habtamu chooses right, Dessie will choose up as7>3
So there is one Nash equilibrium that is (down, left).
Find the Nash Equilibria of the following game Habtamu Left $4, $3 $6, $4 Right Up...
1. Find all Nash equilibria of the following game Player 2 Right Left Up 1,4 5,-3 layer 1 Down 2,2 3,1 2. What is a regression? Provide an example of how a regression might be used in the sports world. Explain the difference between correlation and causation. Provide an example of two variables that are correlated, but do not have a causal relationship. 3.
find all subgame perfect nash equilibria (SPE )for the following game 1. Find all subgame perfect Nash equilibria (SPE) in the following game: 5, 6 9, 8 Y2, 6 6, 7 ?3.9 7,4 5, 5
Will Up Left Centre Right 2,8 0,9 4,3 3,7 -2,10 2,15 John Down Problem 2 Consider the following simultaneous game given above. 1. What is the set of strategies for each player? 2. Define dominant strategy. Is there a dominant strategy for John? Is there a dominant strategy for Will? Find all dominant strategy equilibria in this game. 3. Define Nash equilibrium. Find all Nash equilibria in this game. 4. Are dominant strategy equilibria always Nash equilibria? Are Nash equilibria...
9. Find the Nash equilibrium or equilibria for the following three-player, simultaneous, non- cooperative, non-repeated game? Maeve: Fish Dolores Left 1, 2,31, 3, 2 CenterRight 1,3, 1 Middle 2, 0,32,4, 23,4,3 4, 2,2 Up Teddy Down 2,1,11,2,1 Maeve: Sea Shell Dolores Left CenterRight 1,12,0,0 3, 3,4 3, 1,23, 2,4 2,1, 3 0,0,41,1 Teddy Middle 2,1,2 2,4,3 Down Maeve: Turtle Dolores Center Rig Left 2,1,23,2,1 Up Middle 4, 3, 22,2,14,2,2 Down 2, 3, 0 Teddy 0, 0, 01,2,0 1,3, 1
1. In the following game, find the pure strategy Nash Equilibrium through the underlining process discussed in class Player 2 Right 15, 5 22, 8 Left 12, 6 10,4 Up Down Player 1 1. In the following game, find the pure strategy Nash Equilibrium through the underlining process discussed in class Player 2 Right 15, 5 22, 8 Left 12, 6 10,4 Up Down Player 1
What is the Sub-game Perfect Nash Equilibrium of the game below? Amaya Left Right Bilal Bilal Up Down Up Down (20, 10) (-5, 20) (-5,5) (0,0)
Find the pure and mixed strategy Nash equilibriums for the following game. Show computation. Find the pure and mixed strategy Nash equilibriums for the following game. Show computation. Player 2 RIGHT Player 1 UP DOWN LEFT 11, 12 12,1 15,10 6,0
3. (30 pts) Consider the following game. Players can choose either left () or 'right' (r) The table provided below gives the payoffs to player A and B given any set of choices, where player A's payoff is the firat number and player B's payoff is the second number Player B Player A 4,4 1,6 r 6,1 -3.-3 (a) Solve for the pure strategy Nash equilibria. (4 pta) (b) Suppose player A chooses l with probability p and player B...
Consider the following game table: Bob Left Right Upl Alice Down 3 In this game, is it a Nash equilibrium for Alice to choose Up and Bob to choose Right? Why or why not? No; Alice would want to switch to Down and Bob would want to switch to Left. No; Alice would be content with this but Bob would want to switch to Left No; Bob would be content with this, but Alice would want to switch to Down....
Some Game Theory Problems 3. Find all of the pure strategy Nash Equilibria of the following simultaneous move game. After solving it as a simultaneous move game, write it as a sequential move game with column moving first. Drow the game tree and solve for the Subgame Perfect Nash Equilibrium. Column 9,4 1,10 15,7 15,5 14,8 3,10 12,18 20,12 Row C 7,8 6,8 20,10 3,3 15,9 15,0 14,2 9,1 20,18 2,9 10,14 19,20