Axiomatic characterization of the absolute median on cube-free median networks
In Vohra, European J. Operational Research 90 (1996) 78 – 84, a characterization of the absolute median of a tree network using three simple axioms is presented. This note extends that result from tree networks to cube-free median networks. A special case of such networks is the grid structure of roads found in cities equipped with the Manhattan metric.
Mulder, H.M., & Vohra, R.V.. (2006). Axiomatic characterization of the absolute median on cube-free median networks (No. EI 2006-26). Report / Econometric Institute, Erasmus University Rotterdam. Retrieved from http://hdl.handle.net/1765/7890