The computer can calculate an optimal strategy: but can it be described in terms simple enough for a human to learn and use? I'll describe a reasonable "human playable" strategy in my next post on this theme.
You might also want to ponder these questions: how might the strategy change if the number of players in the game increased, from 2 to, say, 10? Or 100?
And would making the players strictly alternate their turns make the game more fair?