Questions tagged [game]

A puzzle that asks for determining the winner in a multi-player game.

5 questions with no upvoted or accepted answers
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7
votes
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389 views

Can Alice form a unit square?

Alice and Bob take turns to mark points in $\mathbb{R^2}$ (i.e. infinite 2D plane). Alice can only mark $1$ point on her turn, while Bob can mark $N$. They're free to mark their points anywhere as ...
7
votes
0answers
260 views

Who wins the game of "Sticky Gomoku" on an infinite board?

This is a Gomoku like game, played by two players with Go pieces (black and white stones) on an infinite (in all four directions) Go board. Rules Four in a row: players alternate turns placing a ...
4
votes
0answers
140 views

Police and Thieves

I played this game when I was young, but cannot find it online. It is played on a checkers board (e.g. the black squares of a chess board) between two players P and T. The game goes as follows: P ...
4
votes
0answers
243 views

One vs many. Can white force a draw?

On an infinite chessboard there's a single white king and N black kings. The nearest black king must be K moves away from the white king. Given N, white dictates the value of (finite) K, then black ...
1
vote
0answers
356 views

How do you force a win in 4x4x4 TicTacToe

I have read in the wikipedia page of TicTacToe that it is possible for the first player to force a win in a 4x4x4 board. I tried to find a strategy on how to do it online but failed. So, how do you ...