for finding local and global maxima (minima) of submodular (supermodular) functions can be found in B. Goldengorin. European Journal of Operational Research 198(1):102-112, DOI: 10.1016/j.ejor.2008.08.022 See also Pseudo-Boolean function Topkis's theorem Submodular set function Superadditive Utility functions on indivisible goods Notes and references Order theory Optimization of ordered sets Generalized convexity Supermodular functions