Re: Is this game solveable?
Although the expected value of chips won will always be zero, it doesn't mean that every strategy will produce an equal chance of winning.
Take the following "game" as an example (I realize this game does not involve strategy, but it does involve equal expected value for each trial):
A die is rolled.
If the result is a 1,2,3,4, or 5 player A gets one point
If the result is a 6, player B gets five points
The game is played until one player reaches 5 points.
For each roll, each player has an expected value of 5/6 of a point. However, player B has a 1-(5/6)^5 or ~ 0.598 probability of winning.
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