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Extreme Points of Moment Sets

Mathematics of Operations Research, 1988
The extreme points of sets of probability measures—determined by a finite number of generalized moment conditions—are characterized. Together with an integral representation theorem the characterization is used to optimize affine functionals.
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Integral Extreme Points

SIAM Review, 1968
Abstract : It is shown that if A is an integral matrix having linearly independent rows, then the extreme points of the set of nonnegative solutions to Ax = b are integral for all integral b if and only if the determinant of every basis matrix is plus or minus 1.
Veinott, Arthur F. jun., Dantzig, G. B.
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