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Smoothness, nullified equal loss property and equal division values

We provide characterizations of the equal division values and their convex mixtures, using a new axiom on a fixed player set based on player nullification which requires that if a player becomes null, then any two other players are equally affected. Meanwhile, we also present a global and useful framework which enables differential calculus within the space of values, allowing to smoothly implement other axioms.
WP CRESE 2016-1
Player nullification, Smoothness, Equal division, Equal surplus division