The present application relates to methods and systems for playing a strategy game in which two players take turns assigning a representative symbol to one or more locations of a playing field, with the ultimate goal being to own all (or most) of the playing field. In its most basic form, the playing field is defined by a plurality of nodes, each of which is directly connected to one or more adjacent nodes and indirectly connected to every other node of the playing field via a chain of adjacent nodes. After the current player assigns his symbol to a selected null node, it can be determined how the set of nodes owned by the current player partitions the set of nodes not owned by the current player into one or more transferable bounded sets. Ownership of the transferable bounded set(s) can then be transferred to the current player.