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Apparently the game pieces are identical, and do not have unique identities. Is this true?
Then it seems to me that you have a much bigger problem than simply locating each piece on the board (which, as you know, isn't simple). Each piece would need to have some property that you can identify, in addition to its location.In addition to modeling a unique population type in an overly simplistic way, each game piece represents at least three or four characteristics - that are common to the other four populations, of the particular population that the game piece represents. So, I would say, no, it isn’t true.
Then it seems to me that you have a much bigger problem than simply locating each piece on the board (which, as you know, isn't simple). Each piece would need to have some property that you can identify, in addition to its location.