The game of 34 is a two person game using the integers from 1 - 16. Player A selects one of the numbers from 1 - 16. Then player B selects one of the remaining numbers. Players A and B continue to alternate selecting numbers until one of them complete a set of four numbers that sum to 34, thus winning the game. It is my conjecture that player A has a winning advantage by initially selecting 8 or 9. Can anyone help me prove this?
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Player A always wins. I'd post a proof but from your history I see that you never give answers a checkmark. – Jens Nov 18 '16 at 18:55