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14 results

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

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. …
asked Oct 28 '21 by Eric
Before the game, they privately distribute the power between their warriors. When the game begins, both send their warrior #1 to a 1v1 fight. … If #1 is defeated, #2 is sent to continue the next round of fight, so on and so forth until one party has all of their warriors defeated and loses the game. …
asked Jul 9 '21 by Eric
Alice, Bob and Charles are involved in a deadly three way duel game. Before the game starts, the referee prepares three guns for the players to choose from. … The game then begins with the following rules: Each player takes turns to shoot. In your turn, you can either shoot at another player, or pass your turn. …
asked May 1 '20 by Eric
You're surrounded by infinitely many zombies. You're at the origin, and zombies occupy the points $(100i,100j)$ for all integer $i, j$ except the origin, as shown below: You and the zombies move alte …
asked Apr 28 '21 by Eric
Zombies are back again. Same as last time, You're at the origin, and zombies occupy the points $(100𝑖,100𝑗)$ for all integers $𝑖,𝑗$ except the origin, as shown below: The ratio of your speed to t …
asked Jun 9 '21 by Eric
In an adventure to a remote island, you get caught by the xenophobic locals and are about to be executed. But the tribe chieftain, known for his sadistic taste, suddenly changes his mind. "I'll arran …
asked May 10 '20 by Eric
Question: How large can $N$ be for the game to be still winning for Alice? …
asked Nov 24 '21 by Eric
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 $4$ points. They're free to mark their points anywhere …
asked Nov 27 '21 by Eric
This puzzle is taken from Schelling's Game Theory: How to Make Decisions by R.V. Dodge, in which bargaining power is gained, paradoxically, by burning bridges and removing options for oneself. …
asked May 17 '20 by Eric
If he's within 1/100 distance from a guard, the fugitive is caught and you win the game. What's your strategy for catching the fugitive in the shortest amount of time? Hint …
asked May 2 '21 by Eric
A, B and C are in a three way duel. Starting with A, they rotate in the order of A-B-C, each firing one shot at a time. They stand close to one another, so that each can kill one of the others or deli …
asked Mar 28 '21 by Eric
A fugitive is surrounded by N police officers, with the nearest one at distance 1 away. The fugitive and the officers move alternatively. In a fugitive move, the fugitive can travel no more than a di …
asked Apr 14 '21 by Eric
(by forcing a draw I mean white king is never captured if the game goes on forever) Question 2: If instead of kings we have power-one rooks, which can only move one square, can white rook avoid being captured …
asked Apr 14 '21 by Eric