The concede-and-divide rule for liability problems
针对最多三个参与者的责任问题，提出了让步与分割规则，并证明满足对称性和平移协方差的所有解都导出该规则，同时给出了公理化刻画。
Liability problems model the issue of allocating the asset value of an insolvent firm among the creditors and the firm itself. We introduce the concede-and-divide rule for liability problems with at most three agents, i.e. one firm and at most two creditors. Following a game-theoretic approach, we show that all solutions for liability games that satisfy symmetry and translation covariance induce the concede-and-divide rule, in particular the Shapley value and the nucleolus. Moreover, we provide axiomatic characterizations of the concede-and-divide rule using the minimal rights first property. We extend the analysis to liability problems with more agents but an almost solvent firm, i.e. reducing an arbitrary individual liability to zero would make the firm solvent.