On resource monotonicity in the fair division problem

Maniquet, François;Sprumont, Yves
(2000) Economics Letters — Vol. 68, n° 3, p. 299-302 (2000)

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Abstract
In the context of the classical fair division problem, we show that Efficiency and Resource Monotonicity are incompatible with the following ‘‘Conditional Equal Split’’ condition: If equal split of the collective endowment is efficient, it should be among the recommended allocations.
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Maniquet, F., & Sprumont, Y. (2000). On resource monotonicity in the fair division problem. Economics Letters, 68(3), 299-302. https://doi.org/10.1016/S0165-1765(00)00276-7 (Original work published 2000)