The complexities of actions and recipes used in collaborative planning are
defined using set theory and an accompanying formalization. The
formalizations presented can be used as a basis for making decisions in
relation choosing recipes, and other activities concerning collaborative
task execution in a multi-agent environment. Introducing the notion of
the complexity of a recipe and an action provides a measure of the
difficulty of a task, based upon which decisions regarding the use of
particular recipes and contractors can be made.