The reverse TAL-family of rules for bankruptcy problems

van den Brink, René;Moreno-Ternero, Juan de Dios
(2017) Annals of Operations Research — Vol. 245, p. 449-465 (2017)

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  • van den Brink, RenéVrije Universiteit Amsterdam
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  • Moreno-Ternero, Juan de DiosUCLouvain
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Abstract
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. (Eur J Oper Res 228:413-317, 2013), is a counterpart to the so-called TAL-family of rules, introduced and studied by Moreno-Ternero and Villar (Soc Choice Welf 27:231-249, 2006a), and it is included withing the so-called CIC-family of rules introduced by Thomson (Soc Choice Welf 31:667-692, 2008). 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.
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van den Brink, R., & Moreno-Ternero, J. d. D. (2017). The reverse TAL-family of rules for bankruptcy problems. Annals of Operations Research, 245, 449-465. https://doi.org/10.1007/s10479-017-2455-x (Original work published 2017)