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Theory of dynamic processes with several competing actors that try to achieve some goal in a strategic way.
3
votes
How does "solving" a game like connect four or tic-tac-toe work?
For simple games, you use the following strategy:
You check whether a game position is won, lost, drawn, or not decided yet. In the first three cases, the position has a value of +1, -1, or 0. In th …
1
vote
The probability that a person succeeds to pick the longest stick from a randomly ordered n s...
If you tried to get the longest stick out of 10, and they were shown to you in random order, how would you proceed?
Here’s a simple strategy, based on the simple idea that it’s daft to pick a stick th …
1
vote
Determining the existence of a forced win vs determining the best outcome
There's a game named "chomp" where it is mathematically proven that the player who starts has a winning strategy, but finding the winning strategy seems to be very hard.
Given is an n x m rectangula …
1
vote
Why does Min-Max algorithm delays a good move indefinitely?
In the rules of chess, one player can demand a draw when the same position is entered three times. If your opponent can demand a draw, the value of the position is 0 in the best case. So if you look f …
-1
votes
Assuming an infinite amount of computing resources, would the minmax algorithm always win in...
Nobody knows if chess is a forced win for white, or even a forced draw for white.
If it is a forced win, then white with optimal gameplay will always win. If it is a forced draw, then white with opt …