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Your equation fails to take into account what the original article (before I notified the author, who kindly responded and shouted out my blog without even aski
by orlp 2y ago
Your equation fails to take into account what the original article (before I notified the author, who kindly responded and shouted out my blog without even asking for it) also failed to take into account.
When the dice rolls ":|" and you pass your turn, the state does change. Namely, whose turn it is changes. V(s, i, j) fails to capture this crucial detail.
- malisper 2y agoThis is accounted for because the second equation looks at sequences of two moves and not just one. After a sequence of two moves there are two possibilities. Either the state has changed or it has not. This is reflected in the left and right side of the second equation.