Before revision:  The minMax utilityof an agent is that of her best share in the worst possible n-partition of . It is weakly below her Maxmin utility , that of her worst share in the best possible n-partition.
After revision:  The minMax utilityof an agent is that of her best share in her worst partition of the manna; and implement it by Kuhn's generalisation of Divide and Choose. The larger Maxmin utility -- of her worst share in the best possible n-partition.