Questions tagged [game]

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

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The subtraction game

Alice and Bob play a game that starts by Bob picking a secret integer $N\ge100$. Then the game goes through several rounds. In every round, Alice picks an integer $x\ge3$. Every number can be picked ...
90 views

Fifteen boxes and two prizes [duplicate]

Andrew and Barbara are playing a game. Fifteen boxes are arranged in a 3-by-5 grid, labeled with the letters A through O, as shown below. The organizers of the game have chosen two boxes randomly and ...
1k views

The Puzzle Noob’s New Game

This is a generalized version of a TED-ED puzzle. You just wrote a very good puzzle on PSE, getting three upvotes a week. However, the puzzle noob hates your puzzles, and sends you to their dimension ...
3k views

The knight's game

Alice and Bob play the following game on a standard 8 by 8 chessboard. In the very beginning, Alice picks a square on the chessboard and places a knight on this square. Then Bob and Alice alternate ...
2k views

Catching a Cat on an infinite Line

Upon entering a (very) large room, you are faced with an infinite line of cardboard boxes that are labeled, in order, by the nonnegative integers. In one of these boxes, a cat is hiding, but you do ...
870 views

More Catching of Cats

After my first puzzle on this theme was solved relatively quickly, here is a (trickier) follow up question in the same vein! The setup is similar - you are in a room with an infinite line of boxes, ...
392 views

The game of 42: 10 cards to make 42

This is a game inspired by other recent questions. It is a 2-player game. The game is played with 10 cards numbered 1 to 10 and 2 positions or stacks. The game starts with all cards in stack 1. The ...
2k views

Winning chance in coins game with fixing

A player plays the following solitaire game. The game consists of as many rounds as are needed to produce a result. They have 20 fair coins, which may in any round be live or fixed; each coin starts ...
524 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 ...
2k views

Making a 2n-digit number divisible by 9

Alice and Bob play the following game, taking turns. Alice starts and writes a digit from the set M={1, 2, 3, 4, 5, 6} at the blackboard. Bob appends another digit from the set M until a 2n-digit ...
464 views

The Kyiv Triangle Game

There are a number of triangles of various sizes in the figure below whose three vertices are among the vertices and edges on display. Two players, Alice and Bob, take turns coloring with their own ...
1k views

The game with cookies on a red and a blue plate

Aabzaari and Basharat play a game, alternating turns with Aabzaari going first. At the start of the game, there are 20 cookies on a red plate and 14 cookies on a blue plate. A legal move consists in ...