Q1)
S3= {R,T}×{P,Q}
= { RP, RQ, TP, TQ }
strategy set involves 4 elements
For Player 3
(2,5). Find the Walrasian equilibrium. 4. 120] Answer the following. (a) 14 Explain the difference between a strategy that is a best response versus a strategy that is strictly dominant. (b) (6) Consider the following game: player 2 D E F C A 3,7 7,3 1,2 4,3 player 1 B 8,9 8,5 2,8 5,2 C 0,10 7,01,9 2,2 Find the strictly dominant strategies solution and the iterated elimination of strictly dominated strategies solution, if any. (c) [10] Consider the following...
2. (15 points) Consider the following 2 x 2 game: T B L R 3, 75. 2 6, 31, 10 Let p be the probability that player 2 plays R and let q be the probability that player 1 plays T. Draw a pair of axes with p on the horizontal axis and q on the vertical axis. Draw two lines, one indicating player 1's best response(s) as a function of p and another indicating player 2's best response(s) as...
Player 2 9 1-9 Question 4: (15pt total] Consider the following game: X Y Player 1 P A 1,3 2,4 1-PB 0,2 8,0 Suppose Player 1 plays A with probability p, and Player 2 plays X with probability q. Let E (-) and E2(-) be the expected payoff functions. 4)a) [8pt total] Calculate the following: 4)a)i) (2pt] E(A) = 4)a)ii) [2pt] E (B) = 4)a)iii) [2pt] E(X) = 4)a)iv) [2pt] E2(Y) = 4)b) (3pt] Indifference strategy for Player 1: Answer:...
2. Find the Fourier Series of f(T). TER,(-2,2) (1) So, -2 <r<0, 2-I, 0<I<2.
3. (30 pts) Consider the following game. Players can choose either left () or 'right' (r) The table provided below gives the payoffs to player A and B given any set of choices, where player A's payoff is the firat number and player B's payoff is the second number Player B Player A 4,4 1,6 r 6,1 -3.-3 (a) Solve for the pure strategy Nash equilibria. (4 pta) (b) Suppose player A chooses l with probability p and player B...
given ellers. fx(z) = 0 ellers, 4(y-r) fr(u)o hvis 0 < y<1 ellers. Find P(X1/2 and P(1/3<Y < 1/2) Find E(Yl and EX Y) Find P(X+Y s 1/2)
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
Question 1 (10 points] Let L be the line passing through the point P=(4, -2,5) with direction vector d=[5, 2, 2]', and let T be the plane defined by –2x-3y=z=-5. Find the point Q where L and T intersect. Q=(0,0,0)
(3) for 0 <2<1 u(0,t) = 4,(2, t) = 0; u(,0) = { " 1 for 1 <<< 2 Solve the heat equation and write down the complete solution. You can skip the nonessential steps, but please show the integration.
9 > Question 39 (2 points) What is the net ionic equation for the reaction of hydrochloric acid with potassium hydroxide if the molecular equation is HCl(aq) + KOH(aq) – H00) + KCl(aq)? 12 HCI + KOH — H20 + KCI 15 2H+ +2C1- + K2+ + 2OH- H20+ K2+ +2 C1- 18 OH+ + Cl- + K+ + OH- H20+ K+ + Cl- H+ + OH- H20 Question 40 (2 points) Which of the following is NOT an example...