Question 5: Write the normal form of the following game. Find all its Nash equilibria. Find...
2. Write the game below in normal form and find all Nash equilibria. a b 16,-10 4,0 + P1 a b 10,6 2,2 posle Z Nature of P2 a 0,2 p= 14 la
Froblem #5: Convert extensive-form to strategic-form, find Nash equilibria and subgame. perfect Nash equilibria (12pts) Consider the following extensive-form game: Veto Y Don't Veto In this game, Players 1 and 2 are deciding on a course of action, which may be X, Y, or Z Player 2 is the one who actually makes the choice, but first Player may choose to veto Y, which is the option Player 1 prefers the least. a) List all the strategies available to Player...
Find all pure strategy Nash equilibria (NE) by writing down a normal form representation and subgame perfect Nash equilibrium (SPNE). Are the set of NE the same as the set of SPNE? If not, briefly explain why some of the NE is not SPNE. U D L R R (2.1) (0.0) (-1, 1) (3,2)
Problem 1: (20 points) For the normal form game shown below find: (a) (10 points) the set of Nash equilibria. (b) (5 points) the set of perfect equilibria. (c) (5 points) the set of proper equilibria. LR U (3,0) (3,0) M (2, 1) (4,2) D (2,1) (1,0)
#1. (30 points) Consider the following normal-form game. (a) (10 points) Find all pure strategy Nash equilibria. (b) (20 points) Find all mixed strategy Nash equilibria. EFG | A 0,0 3, 4, 1 B5,5 0,01,-1 C 2.0 1,0 2,6 D 1,0 1,4 6,3
Find all Nash equilibria of the following game. X Y Z A | 2,2 4,0 1,3 B 1,3 6,0 1,0 0 3,1 3,3 2,2
Find all the Nash equilibria in the following game and indicate which are strict. Player 2 d b a -1,4 1,-3 2,7 W 2,7 Player 1 2.1 0,4 1, 3 1, 2 Y -1,6 6,2 3.2 1,1 Z 7,1 5.2 0.2 3,1 O (Wa) and (W,c). Neither are strict. O (W,c) and (Z,b). Both are strict O (Wc) and (Z,b). Neither are strict. O There are no Nash equilibria in this game.
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
Find all mixed strategy Nash Equilibria of the following game: X Y Z A 2,2 4,0 1,3 B 1,3 6,0 1,0 C 3,1 3,3 2,2
For each tree, find all pure strategy Nash equilibria (NE), and all pure strategy subgame-perfect Nash equilibria (SPNE). In every tree, payoffs are in alphabetical order. You can gain up to 10 points per tree (5 points for NE, 5 points for SPNE)