3. Consider the following loss table. STATE OF THE WORLD 0 ACTION 2 0 4 Given...
Consider a simple 2x 2 game theory matrix such as this one: Player 2 (P2) Action 3 Action 4 Player 1 (P Action Payoff (PT) Payoff (P2) Payoff(P Payoff (P2) Action 2 Payoff (PI) Payoff (P2) Payoff(P Payoff (P2) Make up your own example that you think can be distilled into this framework. The example can come from your own experience in a business environment OR you can choose a local business and analyze a hypothetical game theoretic situation they...
#3. Consider the following payoff table (where the payoffs are measured in dollars). State 2 81 256 .4 Value Act 1 Act 2 Probabilities State 1 16 0 .6 The modestly risk averse decision maker uses the square root utility function, i.e., U(x) - x050- x. A severely risk averse decision maker uses the fourth-root utility function, i.e., V(x) - x025 #3a, which act would the modestly risk averse decision maker choose via the maximum expected utility rule? (Show your...
3 Rockin' in the Free World Consider a free particle whose state at time t 0 is given by a gaussian wave packet, a2z2 V(x,0)Ae- for real constants A, a 1. Normalize V(x,0), i.e., find A. 2. Find Ψ(x, t). You can do the integral by completing the square in the exponent to get it into the form of a gaussian
QUESTION 2 Given is a Decision Tree Diagram. The Payoffs 1-14 are given in the table below. Answer questions a, b, and c. 1/3 1/3 Payoff 1 PayOff 2 PayOff 3 1/3 4 0.30 PayOff 4 0.50 PayOff 5 Alternative A 0.20 PayOff 6 9 1/3 1/3 PayOff 7 PayOff 8 2 1/3 PayOff 9 Alternative B 5 0.30 Payoff 10 0.50 (8 Payoff 11 0.20 PayOff 12 1/2 6 PayOff 13 1/2 PayOff 14 1 3 5 7 8...
QUESTION 3 Given is a Decision Tree Diagram. The Payoffs 1-14 are given in the table below. Answer questions a, b, and c. 1/3 1/3 1/3 PayOff 1 PayOff 2 Pa yoff 3 PayOff 4 0.3 0.50 Payoff 5 Alternative A 0.20 PayOff 6 9 1/3 1/3 1/3 Pa yOff 7 Pa yoff 8 PayOff 9 Alternative B 0.30 PayOff 10 0.50 PayOff 11 0.20 PayOff 12 Pa yOff 13 PayOff 14 1/2 6 3 1/2 Pavoff 1 2 3...
Mr. H is considering which one of three alternative courses of action A, B and C to take. The profit or loss from each choice depends on which one of four circumstances,I, II, I or IV will apply. The possible profits and losses, in thousands of dollars, are given in the following payoff table. Losses are shown as negative figures: Action A 70 -10 80 60 Action B 60 20 0 100 Action C 70 -5 50 115 Circumstance I...
show work plz Consider the following finite state diagram. State 1 Output=1 State 0 Output=0 State 2 Output=1 State 3 Output=0 The diagram has 4 states, 1 external input / (in additional to the CLK input), and 1 output bit Y. State 0 is represented by memory bits Qi Qo=00, State 1 is represented by memory bits Q.Qo=01, State 2 is represented by memory bits Q.Qo = 10, and State 3 is represented by memory bits Q.Qo = 11. The...
(3.2) Consider the data given in the following table 05 1 15 f(x) 0 2 0 6 1 2 20 (4) (a) Approximate f with a function of the form q (x) = kxm (4) (b) Approximate f with a function of the form g2(x) = be Which approximation between q and g2 1s more appropriate for the given data? Justify your (3) (c) answer < In, and a piecewise cubic polynomial Consider a set of points (I,) Such that...
4 Spherical harmonics in action Consider a particle in three dimensions in a state (2, y, z) = A2 + y + 2z)e-ar where a > 0 is a constant and A is a normalization factor. (a) Write the spherical harmonics Y0+ in terms of x,y,z, and r. (b) Using your result from part (a), show that can be written as a product of a purely r-dependent wavefunction and a linear combination of spherical harmonics.
The following is a payoff table giving profits for various situations. State 2 State 1 State 3 Probability 0.35 0.4 0.25 Alternative 1 52 42 75 Alternative 2 58 30 83 Alternative 3 23 55 82 Alternative 4 33 55 44 If a person were to use the expected monetary value criterion, what decision would be made? Alternative 1 Alternative 2 Alternative 3 Alternative 4