Duality in land rental problems

Alfredo Valencia-Toledo, Juan Vidal-Puga

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish
Pages (from-to)56-59
Number of pages4
JournalOperations Research Letters
Issue number1
StatePublished - Jan 2018
Externally publishedYes

Bibliographical note

Funding Information:
Alfredo Valencia-Toledo thanks the Ministry of Education of Peru for its financial support through the “ Beca Presidente de la República-PRONABEC ” grant ( 2013-III ). Juan Vidal-Puga acknowledges financial support by the Spanish Ministerio de Economía y Competitividad ( ECO2014-52616-R ) and Xunta de Galicia ( GRC 2015/014 ).

Publisher Copyright:
© 2017 Elsevier B.V.


  • Bankruptcy problems
  • Land rental problems
  • Proportional rule
  • Self-duality


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