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Duality in land rental problems

Valencia-Toledo, Alfredo and Vidal-Puga, Juan (2017): Duality in land rental problems.

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A single tenant demands a particular amount of land from several lessors. The way lessors rent their land can be seen as equivalent to a bankruptcy problem. We extend self-duality in bankruptcy problems to these land rental situations. We provide a complete characterization of the family of rules that satisfy self-duality. Moreover, self-duality is enough to assure that the amount of land is proportionally shared among the lessors. Adding other reasonable properties, we pick up a single rule.

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