JMU: local add graduate economics GWU: GWU: regional local regional local Georgetown: global 7,5,4 9,4,2 Georgetown:...
Find all pure strategy Nash Equilibria in the following games a.) Player 2 b1 b2 b3 a1 1,3 2,2 1,2 a2 2,3 2,3 2,1 a3 1,1 1,2 3,2 a4 1,2 3,1 2,3 Player 1 b.) Player 2 A B C D A 1,3 3,1 0,2 1,1 B 1,2 1,2 2,3 1,1 C 3,2 2,1 1,3 0,3 D 2,0 3,0 1,1 2,2 Player 1 c.) Player 2 S B S 3,2 1,1 B 0,0 2,3
We have answer of question 3. So please solve the
question 4 and 5. I need detailed information about them.
Could you please answer quickly.
Question 3 Find the strategy profiles that survive the iterated elimination of strictly dominated strategies. Player 2 M R L 1,3 2,1 2,2 Player 1 D0,2 1,1 Question 4 Can we have a Nash equilibrium in the game in Question 3 where Player 2 chooses M? Explain. Question 5 Check each strategy profile of the...
Problem 2: Consider the following normal form game: | A | B | C D L 2 ,3 -1,3 0,0 4,3 M -1,0 3,0 / 0,10 2,0 R 1,1 | 2,1 3,1 3,1 Part a: What are the pure strategies that are strictly dominated in the above game? Part 6: What are the rationalizable strategies for each player? What are all the rationalizable strategy profiles? Part c: Find all of the Nash equilibria of the game above.
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
4. [20] Answer the following. (a) (5) State the relationship between strictly dominant strategies solution and iterated elimination of strictly dominated strategies solution. That is, does one solution concept imply the other? (b) (5) Consider the following game: player 2 E F G H A-10,6 10.0 3,8 4.-5 player 1 B 9,8 14,8 4.10 2,5 C-10,3 5,9 8.10 5,7 D 0,0 3,10 8,12 0,8 Does any player have a strictly dominant strategies? Find the strictly dominant strategies solution and the...
i K + A B C D W 2,2 5,0 3,6 4,1 X 1,3 2,2 4,5 1,2 Y 3,1 1,1 5,3 6,0 27 DETE 1. (5 points) Find all strictly dominated strategies in this game. 2. (10 points) Find the set of rationalizable strategies for each player. 3. (10 points) Find all the Nash equilibria..
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.
Question # 1: Find all local and global optima of f(x)-x3-10.5x2 +36x + 15 on a) IR; b) [0, 3 c) [3.5, 6]; d) [-4, 10]. e) Check your answers using MATLAB.
Question # 1: Find all local and global optima of f(x)-x3-10.5x2 +36x + 15 on a) IR; b) [0, 3 c) [3.5, 6]; d) [-4, 10]. e) Check your answers using MATLAB.
explain how to find error local in this example
and difference between local and global
X Yeuler Y true Example: Euler's Method Solve numerically: dy - 2x +12x’ - 20x+8. 5 Error Global Error Local % From x=0 to x=4 with step size h=0.5 initial condition: (x=0; y=1) 0 0.5 1.0 5.250 5.875 3.218 3.000 63.1 95.8 63.1 28 5.125 2.218 131.0 1.41 Exact Solution: y = -0.5x4 + 4x - 10x2 + 8.5x +1 Numerical Solution: Vi+ 1 Yi+1...
2. [7 points) Find all the Nash equilibrium (pure and mixed strategies) in the following games. a) (2 points) column left middle right 5,2 2,1 1,3 4,0 1,-1 0,4 row up down 10 column left right b) [2 points] row L up 1,1 -1.0 down -1,0 1,1 c) [3 points] left 3,3 4,6 11,5 up middle down column middle right 9,4 5,5 | 0,0 6,3 5,4 0,7 row