6
votes
Accepted
Does Debreu's representation theorem of ordinal utility require Hausdorff topology?
No. However, the problem can be reduced to representing preferences on a Hausdorff space. Instead of trying to represent a complete preorder on a set, one can try to represent linear orders on the ...
- 9,200
3
votes
Accepted
Constrained optimization to find utility maximizing allocation
I think you are trying to find a feasible allocation that maximises the sum of the utilities of the two individuals. So we can write the objective function as:
\begin{eqnarray*} \max_{x,y} & \ xy^...
- 4,347
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