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- W2029873790 abstract "The concept of M-convex functions plays a central role in “discrete convex analysis”, a unified framework of discrete optimization recently developed by Murota and others. This paper gives two new characterizations of M- and M♮-convex functions generalizing Gul and Stacchetti's results on the equivalence among the single improvement condition, the gross substitutes condition and the no complementarities condition for set functions (utility functions on {0,1} vectors) as well as Fujishige and Yang's observation on the connection to M-convexity. We also discuss implications of our results in an exchange economy with indivisible goods." @default.
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- W2029873790 date "2003-09-01" @default.
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- W2029873790 title "New characterizations of M-convex functions and their applications to economic equilibrium models with indivisibilities" @default.
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- W2029873790 doi "https://doi.org/10.1016/s0166-218x(02)00469-9" @default.
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