Project games

This paper studies situations in which a project consisting of several activities is not executed as planned. It is divided into three parts. The first part analyzes the case where the activities may be delayed, this possibly induces a delay on the project as a whole with additional costs. Associated delayed project games are defined and are shown to have a nonempty core. The second part considers the case where the activities may be expedited, this possibly induces an expedition of the project as a whole creating profits. Corresponding expedited project games are introduced and are shown to be convex. The third and last part studies situations where some activities may be delayed and some activities may be expedited. Related project games are defined and shown to have a nonempty core.