About: Super envy-freeness

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A super-envy-free division is a kind of a fair division. It is a division of resources among n partners, in which each partner values his/her share at strictly more than his/her due share of 1/n of the total value, and simultaneously, values the share of every other partner at strictly less than 1/n. Formally, in a super-envy-free division of a resource C among n partners, each partner i, with value measure Vi, receives a share Xi such that: . This is a strong fairness requirement: it is stronger than both envy-freeness and super-proportionality.

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  • A super-envy-free division is a kind of a fair division. It is a division of resources among n partners, in which each partner values his/her share at strictly more than his/her due share of 1/n of the total value, and simultaneously, values the share of every other partner at strictly less than 1/n. Formally, in a super-envy-free division of a resource C among n partners, each partner i, with value measure Vi, receives a share Xi such that: . This is a strong fairness requirement: it is stronger than both envy-freeness and super-proportionality. (en)
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  • A super-envy-free division is a kind of a fair division. It is a division of resources among n partners, in which each partner values his/her share at strictly more than his/her due share of 1/n of the total value, and simultaneously, values the share of every other partner at strictly less than 1/n. Formally, in a super-envy-free division of a resource C among n partners, each partner i, with value measure Vi, receives a share Xi such that: . This is a strong fairness requirement: it is stronger than both envy-freeness and super-proportionality. (en)
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  • Super envy-freeness (en)
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