We study cooperation between a group of companies, who keep spare parts to maintain their expensive equipments, by pooling their inventory. To establish a stable cooperation, the cost of running the pooled inventory should be allocated between the participating members in a fair fashion. To...

In this survey we review some of the main contributions to the cooperative approach of newsvendor situations. We show how newsvendor situations with several retailers can be modeled as a transferable-utility cooperative game and we concentrate on one solution concept: the core. First we examine...

A newsvendor game studies whether players can collaborate on inventory pooling, where the cost allocation is usually analyzed by the notion of core in cooperative game theory. It is known that the core of the newsvendor game is non-empty and one can use duality theory in stochastic programming...

We study a newsvendor game with transshipments, in which n retailers face a stochastic demand for an identical product. Before the demand is realized, each retailer independently orders her initial inventory. After the demand is realized, the retailers select an optimal transshipment pattern and...

Inventory management studies how a single firm can minimize the average cost per time unit of its inventory. In this paper we extend this analysis to situations where a collective of firms minimizes its joint inventory cost by means of cooperation. Depending on the information revealed by the...

We settle an open conjecture regarding the newsvendor game. We prove that its core is always nonempty for all possible joint distributions of the random demands. We give sufficient conditions under which the core is a singleton, or at a core allocation every newsvendor shares a nonnegative cost