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This paper addresses issues of strategy in Web service composition, and inter-site collaboration in general. The results are useful for both human and artificial agents of a site who are responsible for determining Web-service agreements that are most profitable for that site. The authors discuss three specific questions in this area. How should the profit resulting from a composition of Web-services be divided among the participants?, How can counter the risk of service providers misrepresenting their services in an attempt to gain a larger share of the profit? And Are stable configurations guaranteed or feasible when each service-provider's decisions on how to collaborate permit compositions are guided solely by the goal of maximizing its profit?
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