Weakly additive

Encyclopedia : W : WE : WEA : Weakly additive

In fair division, a set of preferences is weakly additive if the following condition is met:

If A is larger than B, and C is larger than D (and pieces A and C do not overlap) then A together with C is preferable to B together with D.

Weak additivity is often a realistic assumption, and simplifies the mathematics of certain fair division problems considerably.

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