
•(2, 3) Sports c: Celine > ine Comedy (0,0) Sports a: Bob Comedy •(1, 1) Sports...
How to do the c and d?
Player 2 A-1,-1 0,0 0,0 0,0 5,5 Player 1 B 0,0 ci 0,0 0,0 Figure 2: A 3-by-3 Game (a) (2 points) First, what category of game does this fall into (e.g. prisoner's dilemma)? (b) (3 points) Next, find all of the Nash equilibria in this game, being careful to explain (c) (5 points) Which of the Nash equilibria is the best? Which is the worst? Justify Explain. the associated beliefs your answers...
3. The extensive form of a 2-person game is as follows: () (1019 (a) What are the pure strategy sets for players I and II? (b) Derive the normal (strategie) form of the game. (c) Use backward induction to find the sub-game perfect Nash Equi libria of the game. There are 2 SPNEs.) (d) Is there any other Nash Equilibrium?
Which one of the following description is wrong?* 1 point x 8,8 ca Y X >0,0 2,2 B Y 6,6 5, 5 O There are 2 pure-strategy Nash Equilibria. There exists some strictly dominated strategy. O There are infinite mixed-strategy Nash Equilibria. 0 (0,0,1),(1/4, 3/4)) is a mixed-strategy Nash Equilibrium.
Q.1 Consider the following extensive-form game: Playxo Playr 2 o Player? 8, 6 8,5 7, 6 9, 7 Q.1.a Depict the corresponding normal form of the game. Q.1.b Identify the Nash equilibria. Q.1.c Identify the subgame-perfect Nash equilibrium by using backward induction.
3. General Extensive Form Game D Suppose the following general extensive form game 1/2 1/2 (2, 2) (2, 2) (0, 6) (6, 0 (0,0 (6, 4) (a) Represent this game in normal form by using a matrix, and find all pure strategy Bayesian Nash equilibrium (equilibria) b) Find pure strategy subgame perfect equilibrium (or equilibria) of this game. c) Find pure strategy perfect Bayesian equilibrium (or equilibria) of this game.
show all steps.
ΑΑ AK Call Fold 0,0 1,-1 1/2, -1/2 0,0 -3/2, 3/2 0,0 1,111,1 KA KK 1. Eliminate the 2 strictly dominated strategies. 2. Find the mixed strategy Nash equilibrium after your IESD in (1). 3. Interpret your result from (2).
Player 2 I A Player 1 I 2,1 0,0 0,0 1,2 A Find the Nash equilibria of this game by considering all possibilities. Explain your answer fully. Does the game depicted below have a Nash equilibrium? Why or why not? Player X Y Player 1 X 2,1 1,2 1,2 2,1 Y 2) Distinguish between a Strictly Dominant Strategy and a Weakly Dominant Strategy. A concise definition will suffice.
Problem 3 - Battle of the sexes with a first mover Consider once again Tony and Maria and their movie night coordination game. Tony and Maria have different preferences for movies. Tony prefers Action movies over Comedies. Maria prefers Comedies to Action movies. They prefer to watch movies together rather than separately. The payoff matrix is as follows. Table 1: Tony and Maria payoffs Tony Action Comedy Action 2,5 -1,-1 Maria Comedy 1.1 5,2 1. Determine all the pure strategy...
Problem 1. Consider the following extensive form game. 2 > 2,3 4,1 3,2 1.2 (a) By converting the game into normal form game (by finding the corre- sponding bimatrix game), find all Nash equilibrium in pure strategies. (b) Does player 2 have a strictly dominated strategy?
3. Player 1 and Player 2 are going to play the following stage
game twice:
Player 2
Left
Middle
Right
Player 1
Top
4, 3
0, 0
1, 4
Bottom
0, 0
2, 1
0, 0
There is no discounting in this problem and so a player’s payoff
in this repeated game is the sum of her payoffs in the two plays of
the stage game.
(a) Find the Nash equilibria of the stage game. Is (Top, Left) a...