This article investigates progressive development of Aumann-Shapley cost allocation in a multilevel organizational or production structure. In particular, we study a linear parametric programming setup utilizing the Dantzig-Wolfe decomposition procedure. Typically cost allocation takes place...

In this paper we consider a family of cost allocation rules for which agents pay a share of their incremental cost as well as of any ‘debt’ from prior agents. This family encompasses the Bird rule and the free riding rule (where terminal agents pay everything) as the two extreme cases. By...

Risk capital allocation problems have been widely discussed in the academic literature. We consider a company with multiple subunits having individual portfolios. Hence, when portfolios of subunits are merged, a diversification benefit arises: the risk of the company as a whole is smaller than...