Outsourcing has become a wide-used business strategy all over the world and especially in IT-related business sectors. Since the first outsourcing deals were signed up until today a lot of changes took place in this market which still offers a lot of potential for a controversial debate. The following work views this complex business-relationship through the game-theoretic lens. The author explains the basic principles of game-theoretic modelling and then uses concepts from cooperative, strictly competitive as well as mixed-motive game theory to enlighten the main aspects and phases of the outsourcing relationship. Each of these phases has other concepts which can be applied for gaining a deeper understanding of the dynamics at work. This book was written for all those interested in the relationship issues of an outsourcing arrangement, as well as everyone looking for a good onset to start exploring the various fields of game theory.