TY - JOUR
T1 - Duality in land rental problems
AU - Valencia-Toledo, Alfredo
AU - Vidal-Puga, Juan
N1 - Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2018/1
Y1 - 2018/1
N2 - 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.
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 - http://www.scopus.com/inward/record.url?scp=85034844022&partnerID=8YFLogxK
U2 - 10.1016/j.orl.2017.11.004
DO - 10.1016/j.orl.2017.11.004
M3 - Artículo
AN - SCOPUS:85034844022
SN - 0167-6377
VL - 46
SP - 56
EP - 59
JO - Operations Research Letters
JF - Operations Research Letters
IS - 1
ER -