About: Proportional cake-cutting with different entitlements

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In the fair cake-cutting problem, the partners often have different entitlements. For example, the resource may belong to two shareholders such that Alice holds 8/13 and George holds 5/13. This leads to the criterion of weighted proportionality (WPR): there are several weights that sum up to 1, and every partner should receive at least a fraction of the resource by their own valuation. In contrast, in the simpler proportional cake-cutting setting, the weights are equal: for all Several algorithms can be used to find a WPR division.

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  • In the fair cake-cutting problem, the partners often have different entitlements. For example, the resource may belong to two shareholders such that Alice holds 8/13 and George holds 5/13. This leads to the criterion of weighted proportionality (WPR): there are several weights that sum up to 1, and every partner should receive at least a fraction of the resource by their own valuation. In contrast, in the simpler proportional cake-cutting setting, the weights are equal: for all Several algorithms can be used to find a WPR division. (en)
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  • In the fair cake-cutting problem, the partners often have different entitlements. For example, the resource may belong to two shareholders such that Alice holds 8/13 and George holds 5/13. This leads to the criterion of weighted proportionality (WPR): there are several weights that sum up to 1, and every partner should receive at least a fraction of the resource by their own valuation. In contrast, in the simpler proportional cake-cutting setting, the weights are equal: for all Several algorithms can be used to find a WPR division. (en)
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  • Proportional cake-cutting with different entitlements (en)
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