This thesis explores the mechanisms of relations between the Aegean (focusing on Crete and Aegean islands such as Thera) and Egypt (including the Hyksos) from 1900 to 1400 BC. A fundamental tool has been the creation of a searchable database of the portable finds (at the moment, a unique resource) classified as Aegean, Egyptian, Aegeanising, Egyptianising, etc. In addition, the Avaris frescoes and the Aegean processional scenes in Thebes were examined in detail. Two approaches were applied to this evidence of Aegean-Egyptian interactions: World Systems Theory, applied here consistently and in depth (as opposed to earlier, broader discussions of Eastern Mediterranean interactions) and, for the first time in this field, Game Theory. The principles of this approach have been tested and found valid for this data. In contrast to World Systems Theory, Game Theory highlights the role of individuals in Aegean-Egyptian interactions, and not solely the roles of states. It has also enabled the exploration of the causes behind historical events and the mutual benefits of contact, as well as emphasising the factors that promoted mutual stability in the Eastern Mediterranean. As a result it has been possible to show that the Aegeans were key players in Eastern Mediterranean relations.