Mathematics Homework Solutions

Resource Allocation Problem

I worked the attached Resource Allocation Problem, but I am not sure I worked it correctly. I used intuition more than mathematical constructs. Will you take a look and let me know know the right way to do the problem?

Probabilstic Dynamic Programming

The attachted file has an example problem my professor gave. I am not sure that I have it set up right.

I need an explanation of the solution to an optimal policy problem

My professor gave us the solution to one of our homework problems, and I don't understand. The attached file contains his solution, and my questions in red. Can you please help me to understand?

I have a dynamic programming that I don't think I have set up correctly

The attached file contains a dynamic problem. I don't think I have it set up right because I keep going in circles when I attempt to solve it. Could you please help me? I am not sure where I am making my mistake.

Policy iteration problem

The attached file has a homework problem my professor assigned. I work it (also included). I don't think I have worked it correctly. Can you point me in the right direction?

Game theory--Two-person; Constant-sum games

The attached file has a problem that I can't figure out how to set up. Can you take a look and explain how this problem should be set up?

optimal strategy for a 2-person zero-sum game using mixed strategies

I have determined the value of the game, but I don't know how to get to the optimal strategy. Please step through. My professor gave us the answer: Row Player Value = 4/3, The optimal strategy for the row player is (2/3,1/3). The optimal strategy for the column player is (2/3, 1/3, 0).

two-person zero-sum game theory 2x3 matrix

My problem is attached. I know how to work problems if the matrix is 2x2, but other sizes of matrices confuse me. Can you help?

Game Theory and solving using LP

Attached is a 2-person zero sum game problem. I have worked it to the point of needing to solve using Linear Programming. I know there are programs that will solve it for me, but I would like to know how to solve it by hand. Would you show me?

Markov Chain

Please see attached. I don't think I have it set up correctly. Can you show me how to set the problem up? I think I know how to solve it if I had it set up correctly.

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