Duality in land rental problems

Alfredo Valencia-Toledo; Juan Vidal-Puga

doi:10.1016/j.orl.2017.11.004

Duality in land rental problems

Alfredo Valencia-Toledo
, Juan Vidal-Puga

Research output: Contribution to journal › Original Article › peer-review

2 Scopus citations

Abstract

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

Original language	American English
Pages (from-to)	56-59
Number of pages	4
Journal	Operations Research Letters
Volume	46
Issue number	1
DOIs	https://doi.org/10.1016/j.orl.2017.11.004
State	Indexed - Jan 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.

Keywords

Bankruptcy problems
Land rental problems
Proportional rule
Self-duality

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10.1016/j.orl.2017.11.004

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abstract = "Land rental problems describe situations where one tenant demands land from several lessors. The way lessors rent their land can be seen as equivalent to a bankruptcy problem. We extend the idea of self-duality in bankruptcy problems to land rental problems. We provide a complete characterization of the family of rules that satisfy self-duality. Moreover, self-duality is enough to assure the proportional land share among lessors. Adding other reasonable properties, we pick up a single rule.",

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AB - Land rental problems describe situations where one tenant demands land from several lessors. The way lessors rent their land can be seen as equivalent to a bankruptcy problem. We extend the idea of self-duality in bankruptcy problems to land rental problems. We provide a complete characterization of the family of rules that satisfy self-duality. Moreover, self-duality is enough to assure the proportional land share among lessors. Adding other reasonable properties, we pick up a single rule.

KW - Bankruptcy problems

KW - Land rental problems

KW - Proportional rule

KW - Self-duality

UR - https://www.scopus.com/pages/publications/85034844022

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Duality in land rental problems

Abstract

Bibliographical note

Keywords

Access to Document

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Cite this