Here is one possible take of expanding your idea. Also using the 5 steps from above.

1 - A possible setting: A simple 2d plane of points.
2 - Possible mechanics: Attack a neighboring point and make it yours, share a point (this would share the reward from this point), break an alliance (this removes all shared points you have with some  one)
3 - How is an enemy or an ally determined: This is not handled for simplicity. (It is implicit determined through shared points and if both sides keep them)
4 - Possible progression: Through rewards new points get created and theses serve as progression. There might be no final goal, meaning it is infinite.
5 - Possible events: A possible event to keep it interesting and make the end game fun a weekly reward could be provided to the biggest group at the time.

This is only one of many ideas surrounding this initial thought.
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