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For my first move, I considered whether the computer would act as (some) human(s), and try to be nice by cooperating on the first move.  I took a risk and guessed that it would cooperate so I could compete, and it worked out in my favor.  Going off of that initial win, I guessed that it would then try to make up for its losses, and compete, so I did the same and we both got a single coin.  I continued going through the game thinking about what the computer would guess next, but it seemed that the computer wasn't as conniving as I would be, and seemed to play like my sister would when we were little, and I, as the older one, could figure out her next move.  I'm having trouble thinking of something that applies to my own life, but the stock market completely encapsulates this idea.  People holding stock have to constantly guess if people are going to invest in their stock company, or if the company is going to suddenly come out with a great product.  They need to know when to buy stock and when to sell it to create the most profit out of their investment.  

Also- I just played the game again and employed the same strategy everytime and I always got the same outcome.  So the computer's choices aren't random, as far as I can tell.