This paper analyzes a family of rules for bankruptcy problems that generalizes the so-called reverse Talmud rule and encompasses both the constrained equal-awards rule and the constrained equal-losses rule. The family, introduced by van den Brink et al., [Characterization of the reverse Talmud bankruptcy rule by exemption and exclusion properties, European Journal of Operational Research 228 (2013), 413-417], is a counterpart to the so-called TAL-family of rules, introduced and studied by Moreno-Ternero and Villar [The TAL-family of rules for bankruptcy problems, Social Choice and Welfare 27 (2006) 231-249], and it is included within the so-called CIC-family of rules introduced by Thomson [Two families of rules for the adjudication of conflicting claims, Social Choice and Welfare 31 (2008) 667-692]. We provide a systematic study of the structural properties of the rules within the family, as well as its connections with the existing related literature.
# 16-108/II (2016-12-08)
- René van den Brink, VU University Amsterdam, The Netherlands; Juan D. Moreno-Ternero, Universidad Pablo de Olavide, Spain, and Université Catholique de Louvain, Belgium
- Bankruptcy problems, Reverse TAL-family, Reverse Talmud rule, Equal awards, Equal losses
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