Questions tagged [game]

A puzzle that asks for determining the winner in a multi-player game. Game questions that aren't puzzles are off-topic and should be asked on Arqade Stack Exchange.

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13
votes
2answers
1k views

How long can this list of numbers get?

One afternoon, you start writing some whole numbers on a (very large) sheet of paper. First you write a one-digit number, then a two-digit, and so on, with each number one digit longer than the last. ...
23
votes
2answers
2k views

Rook game on chessboard

A rook stands in the lower left corner of an $m\times n$ chessboard. Alice and Bob alternately move the rook (horizontally or vertically, through any number of squares). As the rook moves, it leaves a ...
8
votes
3answers
824 views

The tile-flipping game

The tile-flipping game uses 6 tiles that have a white side and a black side. It starts with the tiles arranged in a line with their white side facing up. $$\circ \circ \circ \circ \circ \circ$$ We ...
36
votes
6answers
7k views

Chasing pirates

You are asleep on your boat on open sea. When you wake up you discover you have been robbed. A quick inspection of security cam footage reveals that the pirates who robbed you left your ship exactly ...
57
votes
3answers
6k views

Left coin, right coin, last coin?

In this game, all players start sitting at a round table, each with a coin in their hand. At every turn, all players toss their coins together and put them on the table in front of them. Then each ...
17
votes
2answers
1k views

Automatically a Knight, Knave, and Joker

Let M be a finite positive integer. It's exact value is not known. Suppose we have three classes of automaton, all of which accept a bit stream as input, produce a bit stream as output (one bit per ...
21
votes
4answers
7k views

Picking up stones

Here is puzzle that was lifted from an old essay of mine, that was adapted from a puzzle in an old puzzle book. The great shah has invited a young boy into his palace as a student. While he is not ...
-1
votes
2answers
898 views

The Impossible Game?

You meet a clever, and dark man. He wants to steal your mind and sell it to the dumbies (an imaginary species of shadows that have an IQ of less than -150) He offers you to play a game, if you win, ...
22
votes
3answers
8k views

Can you Turn MI to MU?

Using the letters M, I, and U, which can be used to create words. Can you turn MI into MU using in each step one of the following rules: Insert a U to the end of a word ending in I. e.g: MI becomes ...
35
votes
1answer
7k views

Coins on a table

John and Jane are playing a game. They both go to the bank and get 1000 euros in 2 euros. So each of them has 500 euros at stake. They then find a large rectangle table and decide who wins the ...
10
votes
1answer
2k views

20 coins on the table

Two boys , Brian and Gabe, decide to play a game. They lay 20 coins on the table. Each player took turns taking 1, 2, or 3 coins. Whoever took the last coin won. Brian thought if he went first, he'd ...
12
votes
2answers
3k views

A two-player game

This is from the current weekly math challenge from the newspaper Le Monde. Alice and Bob play the following game, in turn: A number between $1$ and $10$ is written on a blackboard. At each of their ...
15
votes
3answers
2k views

Optimal play for 2 by 2 dots and boxes

Consider the classic pencil and paper game Dots and Boxes . You can assume the 2 by 2 version (that is with 9 dots). Starting with an empty grid of dots, players take turns, adding a single ...
16
votes
4answers
5k views

The Mexican Standoff

There are three cowboys in a Mexican standoff against each other, named Juan, José, and Jorge. Juan is the straightest shooter in the West, and can hit his target 100% of the time. José, who has a ...
12
votes
1answer
1k views

What is the name of this line-connecting game?

Can you tell me what is the name of the game I used to play in school? It's a game for two players. You need grid paper and two pens. The game is played on a 10x10 arena, shifted by half a grid to one ...
5
votes
1answer
254 views

MPire coloring game basic strategy

The MPire coloring game is a game where several "empires" are laid out touching each other. Your task is to color each empire a different color, and not let two of the same color touch. You also have ...
19
votes
1answer
1k views

Worst case scenario in 2048

The game 2048 can be thought as a two player game, where one player shifts the table around to get to the 2048 tile, while the other player tries to hinder them by putting down 2s and 4s on the table. ...
54
votes
4answers
54k views

What is the largest tile possible in 2048?

I can get to 4096 max. There are videos on youtube of guys making it to 8192. What is the theoretical maximum limit on this? PS: if you haven't played this, here is the link to addiction.
21
votes
4answers
1k views

General strategy for 2048

I, being a fan of 2048, was wondering if anyone has any proven strategies for playing 2048?
38
votes
5answers
16k views

What is the optimal first move in tic-tac-toe?

I have been told that it is possible to guarantee no worse than a tie in normal 3x3 tic-tac-toe, but that the first move is very important. What is that important first move?

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