The α-serial cost-sharing rule

In this paper we present a family of cost-sharing rules for cost-sharing problems. Each rule in this family can be seen as a combination of the serial cost-sharing rule (Moulin and Shenker, 1992) and the dual serial cost-sharing rule (Albizuri and Zarzuelo, 2007). The parameter α determines how this combination is obtained. We also provide an axiomatization of this family by using a weaker axiom than the well-known Independence of higher demands axiom (Moulin and Shenker, 1992).