We consider the problem of ranking linear budget sets. After discussing a difference between two approaches suggested by Xu (Soc Choice Welf 22:281–289, 2004) and Kolm (Soc Choice Welf 2009), we introduce three axioms which are motivated by Kolm’s approach. Using the three axioms, we characterize a ranking rule named the pointed distance rule proposed by Kolm (Soc Choice Welf 2009).
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Miyagishima, K. Ranking linear budget sets. Soc Choice Welf 35, 163–173 (2010). https://doi.org/10.1007/s00355-009-0435-z