However , these proofs are not as helpful in understanding deeper reasons why some games are solvable as a draw , and other , seemingly very similar games are solvable as a win .
The resulting proof gives an optimal strategy for every possible position on the board .
These proofs are not as helpful in understanding deeper reasons why some games are solvable as a draw , and other , seemingly very similar games are solvable as a win .
The resulting proof gives an optimal strategy for every possible position on the board .