QUESTION 4. (25 pts) Write down the Normal form of the following game. 2 Х +...
write down the normal form of this game 2 (yジ し3
3. Consider the following game in normal form. Player 1 is the "row" player with strate- gies a, b, c, d and Player 2 is the "column" player with strategies w, x, y, z. The game is presented in the following matrix: W Z X y a 3,3 2,1 0,2 2,1 b 1,1 1,2 1,0 1,4 0,0 1,0 3,2 1,1 d 0,0 0,5 0,2 3,1 с Find all the Nash equilibria in the game in pure strategies.
1. Consider the following game in normal form. Player 1 is the "row" player with strate- gies a, b, c, d and Player 2 is the "column" player with strategies w, x, y, 2. The game is presented in the following matrix: a b c d w 3,3 1,1 0,0 0,0 x 2,1 1,2 1,0 0,5 y 0,2 1,0 3, 2 0,2 z 2,1 1,4 1,1 3,1 (a) Find the set of rationalizable strategies. (b) Find the set of Nash...
3. Represent the following extensive form game in a normal form game.(2 points) P1 Top Bottom P2 L L P1 (5,5) (1,1) R. (3,1) (1,3) (-1,-1) (0,0)
Question 5: Write the normal form of the following game. Find all its Nash equilibria. Find one SPNE M a b 3 3 1 0 0 Y 0 0 x 1 1 y 2 1 1 2 1 2. 2 1
2. (25 pts) Consider a two player game with a payoff matrix (1)/(2) L U D R (2,1) (1,0) (0,0) (3,-4) where e E{-1,1} is a parameter known by player 2 only. Player 1 believes that 0 = 1 with probability 1/2 and 0 = -1 with probability 1/2. Everything above is common knowledge. (a) Write down the strategy space of each player. (b) Find the set of pure strategy Bayesian Nash equilibria.
4 Game Theory II (40 points) Using the following infromation about normal-form game payoff matrix to answer the questions from (a) to (). Tony Confess Silent (4,-1) (3,3) (11) (-14) Confess Jane Silent (a) Identify pure strategy NE. What is the name for this type of game? What is the main issue of this game? (4 points) (b) Suppose this game is repeated infinitely and each time the probability of game end in that game is 1 -g where 0<8<1...
QUESTION 1 х 50 B, 25 Y 102 29 HOLE DIA LOCATION X Y DEPTH 6 15 14 THRU HOLE SYMBOL A B, B C. 9 12 38 9 9 57 7 12 12 43 38 THRU What is diameter of hole A1 (type in the number: QUESTION 2 Te S B, y 25 B. X 102- 29 HOLE DIA LOCATION X Y DEPTH ? 6 15 1. THRU HOLE SYMBOL A B, E . ? 3 4 5 ?...
1. write the normal form of this game 2 a2. じ) ( ) (:) () ()n/ 2. 2 2.
Question 1 Consider the following extensive-form game. y R 2 А/ B 1,3 ay 1,-1 3,-2 2,-1 4,-2 1. What are the possible strategies of Player 1? 2. Write the game in normal form. 3. Solve this game using backward induction.