In fair division, a topic in economics, a preference relation is weakly additive if the following condition is met: If A is preferred to B, and C is preferred to D (and the contents of A and C do not overlap) then A together with C is preferable to B together with D. Every additive utility function is weakly-additive. However, additivity is applicable only to cardinal utility functions, while weak additivity is applicable to ordinal utility functions.
In fair division, a topic in economics, a preference relation is weakly additive if the following condition is met: If A is preferred to B, and C is preferred to D (and the contents of A and C do not overlap) then A together with C is preferable to B together with D. Every additive utility function is weakly-additive. However, additivity is applicable only to cardinal utility functions, while weak additivity is applicable to ordinal utility functions.
Source: Wikipedia "Weakly additive" · CC BY-SA 4.0
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