Question 3 [25%] Consider the following normal form game G. Your task is to find the correlated equilibrium that max- imizes the sum of players' utilities, using Linear Programming in MATLAB.

In your report, you need to present the equilibrium that you have computed, the linear program that you are solving (which should include the equilibrium conditions that are satisfied), and a screenshot of your MATLAB in- put AND output. Use the following ordering of variables when constructing your MATLAB input: PXA, PXB, PXC, PYA, PYB, PYC, PZA, PZB, PZC. A B с X 6,6 0,8 0,0 Y 8,0 2,2 0,0 Z 0,0 0,0 1,1