Homework Answers
Given :-
Therefore, All Nash Equilibria using Sub - Game Nash Equilibrium method :-
N < 1\2 A B C w х Y 6,5 11,2 10,5 1, 12 20,4 8,8...
N < 1\2 A B C w х Y 6,5 11,2 10,5 1, 12 20,4 8,8 2, 18 2, 18 8,5 3,7 2, 10 6,4 16,3 11,7 10,5 1,6 1 D 6, 10 1 QUESTION 2. (35 pts) Using the process of iterated dominance, find the rationalizable set for this game. Carefully (justifying fully each step you take) the process of arriving at the rationalizable set. If I cannot follow what you are doing, you will not get full credit...
QUESTION 1. (15 pts) Consider the game to the right. 1\2 А B с D 00D...
QUESTION 1. (15 pts) Consider the game to the right. 1\2 А B с D 00D W Х 5,6 4,20 2,11 8,8 5, 10 18,2 12,0 5,8 Y 7,3 10,2 4,6 3, 16 z 7, 11 5, 10 6,1 10,6 Player 1: Best Response to W Best Response to X Best Response to Y Best Response to Z Player 2: Best Response to A Best Response to B. Best Response to C Best Response to D
Question 1. н E F TOT 9 G 2 4. | 2 | 3 | 6...
Question 1. н E F TOT 9 G 2 4. | 2 | 3 | 6 a.) Define a pure-strategy Nash equilibrium both mathematically and in words. b.) Find all pure-strategy Nash equilibria of the above game. c.) Find all strict Nash equilibria of the above game.
Question 2 8 pts Use the payoff matrix to answer the following questions Firm Strategy А...
Question 2 8 pts Use the payoff matrix to answer the following questions Firm Strategy А B х 8,8 18.-4 Firm Y -4,18 10.10 1.12 points) Does Firm have a dominant strategy? If so, what is it? 2.12 points) Identify all of the Nash equilibrium positions. If there is no Nash equilibrium, indicate 'None." 3.(2 points) Assume this is a one-shot, simultaneous game. Where will the game end? If the end game cannot be predicted indicate "No prediction possible 4.(2...
1\2 A B с D W X 5,6 4,20 2, 11 8,8 5,10 18,2 12,0 5,8...
1\2 A B с D W X 5,6 4,20 2, 11 8,8 5,10 18,2 12,0 5,8 Y 7,3 10,2 4,6 3, 16 Z 7, 11 5, 10 6,1 10,6 QUESTION 2. (35 pts) Using the process of iterated dominance, find the rationalizable set for this game. Carefully (justifying fully each step you take) the process of arriving at the rationalizable set. If I cannot follow what you are doing, you will not get full credit on this question.
Question 3 Consider the game in figure 3. Player 2 LR 3,3 1,4 Player 1 4,1...
Question 3 Consider the game in figure 3. Player 2 LR 3,3 1,4 Player 1 4,1 2,2 Figure 3: A Prisoner's Dilemma game. Assume that the payoffs in the figure are $ values. (i) Assume that both players have risk neutral utility functions. Find all of the Nash equilibria of this game. (ii) Next, assume that the row player has other regarding preferences with a = 0 and B = 3 (while the column player has the same preferences as...
Game Theory Eco 405 Homework 2 Due February 20, 2020 1. Find all the Nash equilibria...
Game Theory Eco 405 Homework 2 Due February 20, 2020 1. Find all the Nash equilibria you can of the following game. LCDR T 0,1 4,2 1,1 3,1 M 3,3 0,6 1,2 -1,1 B 2.5 1.7 3.8 0.0 2. This question refers to a second-price, simultaneous bid auction with n > 1 bidders. Assume that the bidders' valuations are 1, ,... where > > ... > >0. Bidders simultaneously submit bids, and the winner is the one who has the...
For the Hamiltonian syste m we did in class: 2. 3 Ic (1) Show that it's a Hamiltonian system with a Hamiltonian function (2) Show that for each c > 0, {(z,y) є R2 . H(z,y) c} is a bounded inva...
For the Hamiltonian syste m we did in class: 2. 3 Ic (1) Show that it's a Hamiltonian system with a Hamiltonian function (2) Show that for each c > 0, {(z,y) є R2 . H(z,y) c} is a bounded invariant set of the dynamical system (in fact, it's also closed) (3) Find all the equilibria of this system. Show that H-() is made up of one equilibium point and two homoclinic orbits attached to it. (4) Sketch the invariant...
QUESTION 2 Label the parts of the diagram below: F А E В D CA B...
QUESTION 2 Label the parts of the diagram below: F А E В D CA B е с 1. glomerulus II. proximal tubule III. collecting duct IV. Bowman's capsule V. distal tubule OD CE F VI. Loop of Henle QUESTION 3 0.5 pois The structural unit shown in the diagram in question 2 is called the allorant atarina Click Save and Submit to save and submit. Click Save All Answers to save all answers Save All Answers QUESTION 3 OOO...
Question 1(a&b) Question 3 (a,b,c,d) QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Det...
Question 1(a&b)
Question 3 (a,b,c,d)
QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Determine whether or not X and Y are independent. (9 marks) a) b) Find P(x> Y). Show how you get the limits for X and Y (6 marks) QUESTION 3 (19 MARKS) Let f(x, x.) = 2x, , o x, sk: O a) Find k xsl and f(x,...
N < 1\2 A B C w х Y 6,5 11,2 10,5 1, 12 20,4 8,8 2, 18 2, 18 8,5 3,7 2, 10 6,4 16,3 11,7 10,5 1,6 1 D 6, 10 1 QUESTION 2. (35 pts) Using the process of iterated dominance, find the rationalizable set for this game. Carefully (justifying fully each step you take) the process of arriving at the rationalizable set. If I cannot follow what you are doing, you will not get full credit...
QUESTION 1. (15 pts) Consider the game to the right. 1\2 А B с D 00D W Х 5,6 4,20 2,11 8,8 5, 10 18,2 12,0 5,8 Y 7,3 10,2 4,6 3, 16 z 7, 11 5, 10 6,1 10,6 Player 1: Best Response to W Best Response to X Best Response to Y Best Response to Z Player 2: Best Response to A Best Response to B. Best Response to C Best Response to D
Question 1. н E F TOT 9 G 2 4. | 2 | 3 | 6 a.) Define a pure-strategy Nash equilibrium both mathematically and in words. b.) Find all pure-strategy Nash equilibria of the above game. c.) Find all strict Nash equilibria of the above game.
Question 2 8 pts Use the payoff matrix to answer the following questions Firm Strategy А B х 8,8 18.-4 Firm Y -4,18 10.10 1.12 points) Does Firm have a dominant strategy? If so, what is it? 2.12 points) Identify all of the Nash equilibrium positions. If there is no Nash equilibrium, indicate 'None." 3.(2 points) Assume this is a one-shot, simultaneous game. Where will the game end? If the end game cannot be predicted indicate "No prediction possible 4.(2...
1\2 A B с D W X 5,6 4,20 2, 11 8,8 5,10 18,2 12,0 5,8 Y 7,3 10,2 4,6 3, 16 Z 7, 11 5, 10 6,1 10,6 QUESTION 2. (35 pts) Using the process of iterated dominance, find the rationalizable set for this game. Carefully (justifying fully each step you take) the process of arriving at the rationalizable set. If I cannot follow what you are doing, you will not get full credit on this question.
Question 3 Consider the game in figure 3. Player 2 LR 3,3 1,4 Player 1 4,1 2,2 Figure 3: A Prisoner's Dilemma game. Assume that the payoffs in the figure are $ values. (i) Assume that both players have risk neutral utility functions. Find all of the Nash equilibria of this game. (ii) Next, assume that the row player has other regarding preferences with a = 0 and B = 3 (while the column player has the same preferences as...
Game Theory Eco 405 Homework 2 Due February 20, 2020 1. Find all the Nash equilibria you can of the following game. LCDR T 0,1 4,2 1,1 3,1 M 3,3 0,6 1,2 -1,1 B 2.5 1.7 3.8 0.0 2. This question refers to a second-price, simultaneous bid auction with n > 1 bidders. Assume that the bidders' valuations are 1, ,... where > > ... > >0. Bidders simultaneously submit bids, and the winner is the one who has the...
For the Hamiltonian syste m we did in class: 2. 3 Ic (1) Show that it's a Hamiltonian system with a Hamiltonian function (2) Show that for each c > 0, {(z,y) є R2 . H(z,y) c} is a bounded invariant set of the dynamical system (in fact, it's also closed) (3) Find all the equilibria of this system. Show that H-() is made up of one equilibium point and two homoclinic orbits attached to it. (4) Sketch the invariant...
QUESTION 2 Label the parts of the diagram below: F А E В D CA B е с 1. glomerulus II. proximal tubule III. collecting duct IV. Bowman's capsule V. distal tubule OD CE F VI. Loop of Henle QUESTION 3 0.5 pois The structural unit shown in the diagram in question 2 is called the allorant atarina Click Save and Submit to save and submit. Click Save All Answers to save all answers Save All Answers QUESTION 3 OOO...
Question 1(a&b)
Question 3 (a,b,c,d)
QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Determine whether or not X and Y are independent. (9 marks) a) b) Find P(x> Y). Show how you get the limits for X and Y (6 marks) QUESTION 3 (19 MARKS) Let f(x, x.) = 2x, , o x, sk: O a) Find k xsl and f(x,...
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