I'm currently doing D2 game theory and I'm struggling with using the simplex tableau to find the optimal solution. I was fine with it in the chapter on linear programming but not in this chapter.
When you are selecting the pivot row, the instructions for using the tableau say to choose the smallest positive theta value. However, with these questions the theta values of the initial tableaux are either 0 or infinity? So it seems like the only option is to choose a row with 0 for the pivot row, which is what the textbook does.
However, for the next tableau, there are usually theta values of 0 or 1, and the smallest positive value here is 1, but the textbook doesn't choose this value? Why not?
I've looked at a mark scheme for a questions like this and that also chose 0 as the smallest positive theta value.
So should the instructions instead be to choose the smallest non-negative value or??????????? I'm very confused by this and I can't ask my teachers because they haven't taught or learned this recently/ever.
Has yours come through yet?