Considering the following non-linear program:

Given the payoff matrix for a zero-sum game between Player 1 and Player 2. Entries are outcomes for Player 1. (the same as the previous question)

The government has established by law that Player 2 is required to play option 3 twenty percent of the time. What will be their optimal mixed strategy?

Given the payoff matrix for a zero-sum game between Player 1 and Player 2. Entries are outcomes for Player 1. (the same as the previous question)

Player 1 can observe Player 2’s move before choosing an action, but Player 2 does not know this and continues to use his/her optimal mixed strategy for the original simultaneous game. What is the value of this information to Player 1?

Given the payoff matrix for a zero-sum game between Player 1 and Player 2. Entries are outcomes for Player 1:

What is Player 2’s optimal mixed strategy?

Given the following tree in which both uncertainty nodes/vertices represent the same event:

A consultant is offering you a study to predict the U3 event, with a success rate of P(CF1/F1) = 80% & P(CF2/F2) = 20%. The study costs 400€. Select the right answer:

Given the following tree, where all monetary values represent profit for the decision-maker:

Knowing that the optimal decision under the Laplace criterion is B, and that the three uncertainty nodes/vertices represent the same event. What is the expected value of perfect information:

In the following decision tree, all monetary values represent the decision maker's profit.

Select the right answer:

Given the following branch and bound tree:

Select the correct answer:

Given a minimization problem with the following constraints:

x1+x3>=5

x1+2x2+4x3>=20

And the following optimal solution:

Xn=(e1, e2, x3) With reduced costs (1/3, 2/3, 8/3) respectively.

Select the right answer:

We are having trouble finding an initial feasible solution to apply the simplex algorithm to a linear optimization problem. We thought about defining the dual and finding a solution to the dual problem. We were successful in finding a basic feasible solution for the dual problem almost immediately. Select the right answer: