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HandWiki. Fair Item Assignment. Encyclopedia. Available online: https://encyclopedia.pub/entry/36840 (accessed on 21 September 2026).
HandWiki. Fair Item Assignment. Encyclopedia. Available at: https://encyclopedia.pub/entry/36840. Accessed September 21, 2026.
HandWiki. "Fair Item Assignment" Encyclopedia, https://encyclopedia.pub/entry/36840 (accessed September 21, 2026).
HandWiki. (2022, November 28). Fair Item Assignment. In Encyclopedia. https://encyclopedia.pub/entry/36840
HandWiki. "Fair Item Assignment." Encyclopedia. Web. 28 November, 2022.
Fair Item Assignment
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Fair item assignment is a kind of a fair division problem in which the items to divide are indivisible. The items have to be divided among several partners who value them differently, and each item has to be given as a whole to a single person. This situation arises in various real-life scenarios: The indivisibility of the items implies that a fair division may not be possible. As an extreme example, if there is only a single item (e.g. a house), it must be given to a single partner, but this is not fair to the other partners. This is in contrast to the fair cake-cutting problem, where the dividend is divisible and a fair division always exists. In some cases, the indivisibility problem can be mitigated by introducing monetary payments or time-based rotation, or by discarding some of the items.:285 But such solutions are not always available. An item assignment problem has several ingredients: These ingredients are explained in detail below.

item assignment fair division indivisibility

References

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