# Questions tagged [game]

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

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327 views

### Birthday girl's casino game

My daughter's birthday is coming up. Here's a fun party game we can play to celebrate. (Bring your wallet!) I have a pair of 6-sided dice, and a standard deck of 52 cards. You place your ...
393 views

### Four-in-a-line Puzzle

Disclaimer: This is an open-problem, I don't have a complete solution for this puzzle yet. We are playing a $2$-player game: you as a challenger and me as a judge. Initially, there is an empty ...
662 views

### Double or Take game

Double or Take is a two-player number game. Alice starts by selecting any positive integer. Bob's options are to: subtract a positive perfect square subtract a positive perfect cube, or double the ...
788 views

### The Sphinx puzzle - Heroes of might and magic II

What is the answer? The Sphinx asks you the following riddle: I'm a brook that continues, an old woman or two, when misspelled I'm a trinket, do I confuse you? I'm inane at each moment, never used by ...
15k 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?
2k views

### 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 ...
459 views

### Writing differences on a blackboard

The numbers 25 and 36 are written on a blackboard. At each turn, a player writes on the blackboard the (positive) difference between two numbers already on the blackboard, if this number does not ...
453 views

### Is it Basic Physics?

Which number is next in the sequence? 1, 2, 3, 4, 5, 6, 7, 9, 10 ,11 ,12 ,13 ,14 ,15 ... Describe why and how your answer applies to the given problem.
1k views

335 views

### Another variation of the game of Nim

Two players set several piles of chips. The piles are arranged in a row from left to right. By turns each player takes one chip from one of the piles and adds at will as many chips as he/she wishes (...
230 views

### Drawing loops on a sheet of paper

Two people are playing a game, in which each player takes turns drawing closed loops on a sheet of paper. Each new loop must intersect each of the other loops exactly twice. When one player has no ...
667 views

### Fight Battle 21

Based off a very, very well-known puzzle The new RPG, Fight Battle 21, is now here! Now with the same three characters as the previous 20 editions! Knight: 6 HP, 60% chance to deal 3 damage Archer: ...
5k views

### Rock, Paper, Scissors and Trump

Alicia and Robert are two high-stakes gamblers who are playing a match of rock-paper-scissors. Each winning throw is worth 10 ā¬, paid by the other player. These players have deep pockets, so matches ...
2k views

### Cutting three sticks

Cosmo plays the following (single-player) game with three wooden sticks: He first checks whether he can form a triangle from the three sticks (which means: whether the longest stick is at most as ...
164 views

### The Faerie Army is coming!

Well, we're all in trouble, yet again. The fabled Faerie Army has come to take over our dimension. This is the battlefield: However, their soldiers don't work quite like ours... Their pawns move as ...
646 views

### Conway's Game of Life… Chess Edition

Here's a new interesting game. Here's the starting position: and here's how it works. Before I even start explaining this, adjacent includes diagonally adjacent. Thank you. White goes first, as in ...
466 views

### The Knight Checker or Football Chess

Both Players uses 8 Knights on this chessboard game : The Knight Checker. All pieces starts in Rank 1 relative to players. White to move first. The Knight pieces makes regular moves as in a chess game ...
1k views

### The Number Guessing Game

Two people are playing an interesting form of a number guessing game, with the following rules: One person is the guesser, and one person is the thinker. The thinker thinks of a number from 1 ...
577 views

### Strategy to beat the Casino reversed

Let's consider Strategy to beat the Casino puzzle, but reverse it - fix number of losses and ask a question about amount of rounds: Two players, A and B, and the Casino play a game. The game consists ...
2k views

### Strategy to beat the Casino

Two players, $A$ and $B$, and the Casino play a game. It involves showing zeros or ones: each player picks $0/1$ and also the Casino picks $0/1$. If the Casino and both players $A$ and $B$ show the ...
227 views

### Master and Slave versus Bob: easy version

Continuation of: "Sub-puzzle: Master and Slave versus Bob the Violent but Honest Psychopath" Continued in: "Master and Slave versus Bob: hard version" Previously I described a game that is played ...
1k views

### Strategy to beat the casino over the long haul

$A$ and $B$ are attempting to beat the casino again, and the rules are the same: Each round, $A$, $B$, and the casino simultaneously decide to show a $0$ or a $1$. If all three numbers match, $A$ ...
394 views

### Sub-puzzle: Master and Slave versus Bob the Violent but Honest Psychopath

[I created this as a sub-puzzle to "Strategy to beat the Casino reversed", that has been sitting unsolved for months. You may wish to read that puzzle first, but this is self-contained. My answer to ...
121 views

### It's a serious game when six-packs are at stake

I'm playing a small-stakes game of a casino poker variant called Okay You Can Stop Holding 'Em. The rules are simple: the player and the house are both dealt two cards face down, there is a round of ...
194 views

### make it to the top of the triangle

Suppose you have a triangle that extends infinitely downwards, with circles inside, arranged in this arrangement: ...
669 views

### Can you tie in 3D Tic-Tac-Toe?

In 3D Tic-Tac-Toe, there are 3 2D planes, each 3x3 in size, stacked on top of each other. A winning line can go through each of the layers (in addition to the standard winning lines of normal Tic-Tac-...
1k views

### Single-pile Nim with Three Players

Three perfectly rational logicians (Alice, Bob and a Quetzalcoatlus) are playing a game. (Charlie couldn't make it, so he asked the Quetzalcoatlus to fill in for him.) The rules are very simple: ...
2k views

### The knight's game

Alice and Bob play the following game on a standard $8\times8$ chessboard. In the very beginning, Alice picks a square on the chessboard and places a knight on this square. Then Bob and Alice ...
273 views

### Selecting the starting player [closed]

The board game is about to begin. And suddenly we realize that we need to decide the starting player. The dice procedure is tiresome. And we can't find our dice right now. Or any other artifact that ...
569 views

### Word game - possible to play all words?

You're trapped in a chamber and the only way out is to beat the chamber guardian on his own game: Word88. Both of you each take a turn to play a word. You can play one of the following: Add Play - ...
445 views

### Dim - A Game with Pebbles

Alice and Bob play a game with a pile of $n$ pebbles. They take turns, with Alice going first. On their turn, a player can remove any number of stones from the pile which is a proper divisor of the ...
2k views

### The lion and the zebras II: The lion with millimeter-long claws

This is a variant of this excellent question. The rules of the lion-zebra hunger games are exactly the same: The lion plays a deadly game against a group of 100 zebras that takes place in the ...
442 views

### Lights out game on a chessboard

Alice and Bob play a game with an 8Ć8 grid of lights, all initially on. They take turns choosing a light which is on and turning it off, with Alice going first. However, the grid is rigged such that ...
1k views

### Winning strategy in a calendar game

Consider a two-player game. The players move in turns to pick either a month or a day. The winner is the player who picks the date December 31 ($12/31$). The following rules apply: The game starts ...
2k views

### It'd be on an infinite board, but he can't fit one in his hideout

This is a fairly easy one (at least as this website goes) with a premise taken from the Reader's Digest Book of Puzzles & Brain Teasers. The Riddler is devising yet another trap for Batman to ...
2k views

### Lions and Zebras on a Chess Board

The black knight is our lion chasing 8 white bishop zebras which can't capture. Can the zebras evade the lion forever, if team zebra positions all the pieces and has the first turn? Rules: The game ...
807 views

### A Strategy Game Involving Conquering of Regions

This is a game that I saw in a book long ago. Unfortunately I cannot find the book now, and even if I can as I recall it does not provide a strategy. I will be very grateful if you can provide me a ...
482 views

### How to create my own murder mystery game?

Iām hosting a game night next week at a local bar, and. I wanted to have a segment with a murder mystery. The owner of the bar has agreed to be the deceased victim, and four people who regularly ...
2k views

### Even and Odd game

You are playing a game with your friend on a $7$x$7$ grid board. In every turn, you begin by putting a $0$ (zero) on any empty square on the board, and then your friend puts a $1$ (one) on a ...
456 views

### Number exchange game

Inigo and Vizzini are to have a battle of wits to the death. The rules are: Inigo is given two independent random numbers uniformly distributed between 0 and 1. Inigo chooses one of the numbers to ...
432 views

### What is best strategy to multiple turn prisoners dilemma, when your opponents actions are hidden?

Best strategy for multiple turn prisoners dilemma is called tit for tat you start with cooperation and then repeat your opponents answer from previous turn. Is ...
333 views

### The game of pebbles +

The game of pebbles is a two-player game. The game starts with N stones. On a player's turn, he or she must remove either 1, a power of 2 (2,4,8,...) or a power of 3 stones (3,9,27,...). The player ...
1k views

### The game of pebbles

The game of pebbles is a two-player game. The game starts with $N$ stones, and a number $c>2$ is fixed. On a player's turn, he or she must remove either $1$ or $c$ stones. The player who does not ...