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 consider the economic lot-sizing (ELS) game with general concave ordering cost.In this cooperative game, multiple retailers form a coalition by placing joint orders to asingle supplier in order to reduce ordering cost. When both the inventory holding costand backlogging cost are linear...

In this paper, we present a unified approach to study a class of cooperative games arisingfrom inventory centralization. The optimization problems corresponding to the inventory games are formulated as stochastic programs. We observe that the strong duality of stochastic linear programming not...