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Remarks on the integer Talmud solution for integer bankruptcy problems. (English) Zbl 1414.91250
Summary: In [V. Fragnelli et al., Top 22, No. 3, 892–933 (2014; Zbl 1336.91049); ibid. 24, No. 1, 88–130 (2016; Zbl 1341.91095)], we considered a bankruptcy problem with the additional constraint that the estate has to be assigned in integer unities, allowing for non-integer claims; we dealt with the extension to our setting of the constrained equal losses solution and of the constrained equal awards solution. Here, we analyze the possibilities of extending the Talmud solution to the integer situation, starting from the existing approaches for the non-integer case; some of these approaches are compatible with the non-integer claims, but in order to comply with as much as possible of the approaches it is necessary to switch to integer claims.

MSC:
91B32 Resource and cost allocation (including fair division, apportionment, etc.)
91A12 Cooperative games
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