# Questions tagged [game]

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

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### A game with 52 cards

Alice and Bob play the following game with two (identical) standard decks of $52$ cards. First Alice secretly arranges one deck of $52$ cards in a long row on the table. All cards are face-down, and ...
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### Titanicker Tic-Tac-Toe

This is something of a follow-on to Hugh Meyer's enjoyable "Titanic Tic-Tac-Toe." Fortunately, our intrepid heroes Xavier and Oliver have wrested away a bit of wreckage that some fellow named Jack was ...
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### Titanic Tic-Tac-Toe

Xavier and Oliver were playing tic-tac-toe on the Titanic using a wooden board and metal X's and O's. As the stern of the ship sank lower and lower they found, to their annoyance, that the pieces ...
2k views

### The Finger Game

There's a game called the finger game. It's played by two players who each start with one finger on each hand up. The players take turns using one of their hands to tap one of their opponent's hands. ...
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### Find the minimum number of guesses

Your friend will pick a 4-letter word and you will make guesses in order to find it. -A word can contain only the letters A, B, C, and D, and they can be used more than once. (AAAA-DDDD). -In your ...
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### Two prisoners and the prison ward

Two prisoners are imprisoned at opposite ends of the prison. They cannot meet, nor exchange any kind of information. However, one day they are brought together by the ward who tells them: "I shall ...
222 views

### The match between the seventh and the eighth player

12 players took part in a chess tournament and any two of them played exactly one match against each other (1 point for victory, 1/2 point for draw, 0 point for loss). After the tournament the top-...
168 views

### Making all stones black [duplicate]

1000 white stones and 1 black stone are arranged in a row. A move consists in selecting one black stone and changing the color of the 2 neighbouring stones (or changing the color of 1 neighboring ...
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### 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 ...
1k views

### The maximum number of SETs with six cards

The SET game works with a deck of $81$ cards. Each card contains a set of symbols with four attributes: color (red, green, purple), shading (empty, striped, or solid), shape (oval, squiggle, or ...
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### The game of 1036

Mahmoud and Zomhan play a game where they alternatively write numbers on a board. In each turn, a player takes the old number $N$ written on the board and replaces it either by the number $T$ of ...
244 views

### Squic Squac Squo

Two players take turns writing an X (first player) or an O (second player) in a 9 by 9 grid of cells. A player wins if they manage to occupy four cells which form the vertices of a square of any ...
839 views

### Heaps of marbles

Alice and Bob play the following game with two heaps of $10,000$ and $20,000$ marbles. Alice and Bob move alternatingly. Alice makes the first move. In every move, the active player may (i) either ...
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### Removing chips from the table

Alice and Bob play the following game with $n\ge2016$ chips on the table. Alice and Bob move alternatingly. Alice makes the first move. In every move, the active player removes $k$ chips from the ...
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### Clear board in Othello (Generalisation)

Based on Clear board in Othello If we have an $2m\times 2n$ Othello board ($m\geq n\geq 2$), and the centre $4$ squares have the usual starting position, then for what all values of $m$ and $n$ ...
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### Clear board in Othello

Is there a valid set of moves in Othello that allows a win score of 64-0 for either player? And is there record of any such game in the past?
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### Largest tile possible in 1597 (2048 with Fibonacci numbers)

1597 or 2584 is a variation of the game 2048 where pairs of tiles numbered with consecutive values in the Fibonacci sequence are merged into a new tile with the next value in the sequence. An ...
867 views

### Twenty coins and no balance

On the table there are $20$ coins that carry the letters $A,B,C,\ldots,T$. The values of these coins are $1,2,3,\ldots,20$ Euro (but the assignment of values to letters is secret). Fredo knows the ...
707 views

### Optimal game of Bluff (not the wikipedia one)

Rules Basics 52 well shuffled cards are dealt equally to both players. Player 1 starts the first hand. The game consists of a number of rounds, which are played as follows. On each round, players ...
864 views

### Pop the Last Bubble

Having bested the silly clown, you go to your packaging job. It is a slow day, so you decide to teach the game you learned to one of your coworkers. There are no balloons around, so you use bubble ...
1k views

### Pop the Last Balloon

A clown approaches you, holding 99 red balloons. He proposes a game where the two of you will take turns popping some nonzero number of balloons. The only restrictions are: On the first turn, the ...
648 views

### Let's revisit this later (a two player knight's game)

Alice and Bob play a game on the following irregular chessboard. (Note the blacked out squares are not legal moves.) Alice starts the game by placing a knight on any square she chooses. They then ...
519 views

### Blackboard problem with polynomial

The blackboard contains the two numbers 0 and 120. Each minute you are allowed to write an additional number $x$ on the blackboard if $x$ has not been written before on the blackboard and if $x$ ...
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### The Trickster's Game

While walking around the streets of your local city, you encounter a strange woman sitting atop a gigantic pile of dollar coins. "Would you like to play a game?" she asks. Intrigued by the strange ...
796 views

### Greedy Chocolate Eaters

Alicia and Bobby play a game with a rectangular chocolate bar, scored into an $m$ by $n$ grid of squares. The children alternate turns, with Alicia going first. On a child's turn, they must break ...
866 views

### Golden Pancakes

Alice and Bob play a game with two stacks of fluffy, golden pancakes, of sizes $p$ and $q$. They alternate turns, with Alice starting. On their turn, a player must eat some number of pancakes from ...
4k views

### Unsolvable static minesweeper puzzle? (+ 3D twist!)

You have an $m$ by $n$ rectangular grid. Each cell may contain a single bomb or a number (or neither, but not both). If a cell has no bomb and is adjacent (horizontally, vertically or diagonally) to ...
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### Chomp (Game with a Poisoned Chocolate Bar)

In the game of Chomp, two players start with a chocolate bar, which is scored into an $a$ by $b$ array of squares (where $a\cdot b>1$). The square in the lower left is poisoned. The players ...
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### Rocks and Lever (Game) - Goofspiel

I am not sure if there is a name associated with this game but I do not know of one. There was this 2 player game I had once played, and I am wondering if there is a winning strategy. The game is as ...
585 views

### Alternate Face Up Poker with Alice and Bob (on the floor)

I was so convinced that the "correct" answers to this excellent question were wrong that I took out a deck of cards to prove it. Then I realised that I was changing one of the rules. So here's the ...
3k views

### Face Up Poker with Alice and Bob

Alice and Bob are going to have a poker night. They have invented a variant where there are no secrets, and no randomness, called Face-Up Poker. Here's how it works. A standard 52 card deck is ...
843 views

### The Triangle Game

Take an equilateral triangle with dots at the vertices and at the midpoints of each side: There are a total of six dots. In the triangle game, you have the numbers 1, 2, 3, 4, 5, 6. Place one number ...