Questions tagged [game]
A puzzle that asks for determining the winner in a multi-player game.
0
votes
1answer
65 views
A short nim game [duplicate]
There are 50 lucifers on the table.
The rules are:
-You must take 1, 2, 3, 4, or 5 lucifers each turn.
-After player 1 has taken some amount of lucifers, it is player 2's turn, and vice versa.
-...
4
votes
3answers
198 views
Praser 5 - Help
What is the answer to the Griffon's riddle? So tired of beating my head against this one. I've solved the Sphinx, Unicorn, and Pegasus, but this one is killing me.
...
13
votes
3answers
1k views
Spider and fly on a cube
A spider and a fly play a game with a cube of side length $s=1$ and with a positive real number $d$.
First, the spider picks its starting point $S$ somewhere on the surface of the cube.
Then the fly ...
3
votes
1answer
122 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 (...
4
votes
3answers
204 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 ...
10
votes
3answers
595 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: ...
4
votes
1answer
106 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 ...
3
votes
3answers
481 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 ...
14
votes
2answers
338 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 ...
2
votes
1answer
161 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 ...
1
vote
1answer
216 views
Master and Slave versus Bob: hard version
Continuation of: "Sub-puzzle: Master and Slave versus Bob the Violent but Honest Psychopath" and "Master and Slave versus Bob: easy version"
The hard version is identical to the easy version (see ...
1
vote
3answers
280 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 ...
0
votes
3answers
92 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 ...
10
votes
2answers
179 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:
...
5
votes
1answer
236 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-...
42
votes
4answers
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 €, paid by the other player. These players have deep pockets, so matches ...
7
votes
6answers
740 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:
...
2
votes
5answers
346 views
A Very Odd Game
Barry, John, and Caleb, all perfect logicians, were very bored one day and they decided to come up with a new game (they haven't got a name for that game yet). The rules were quite simple :
The first ...
6
votes
1answer
347 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 ...
7
votes
5answers
257 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 ...
13
votes
3answers
507 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 ...
2
votes
5answers
451 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 - ...
12
votes
2answers
618 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 ...
16
votes
2answers
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 ...
1
vote
2answers
2k views
Lock code game puzzle
I'm trying to solve a lock 3 code game, Can You Crack The Code. From time to time I find myself presented with a puzzle that has 2 possible solutions, but the game only allows one correct answer. For ...
7
votes
1answer
396 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 ...
2
votes
1answer
251 views
How to create my own murder mystery game?
I’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 ...
1
vote
1answer
302 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 ...
9
votes
4answers
431 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 ...
3
votes
1answer
263 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 ...
5
votes
4answers
519 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 ...
4
votes
1answer
163 views
Turn based Number game
You and a friend take turns saying positive integers greater than one. You can't say a number that is a multiple of previous numbers or a sum of multiples of previous numbers. For example, if A says 3 ...
7
votes
6answers
2k views
How will Y lose the game?
X and Y are playing a game. There are eleven coins on the table and each player must pick up at least one coin but not more than five in a turn. The person picking up the last coin loses. X starts. ...
6
votes
2answers
391 views
Cheating aplenty at Build-a-Die 2017
Each year, 9 affluent acquaintances meet to compete in a unique game of chance: each creates a fair six-sided die and rolls against each opponent 100 times -- the player with the most total wins in ...
14
votes
3answers
2k views
Rubik's cube two-person game
I will define the game as follows:
There are two players, the "Solver" and the "Unsolver". The Solver's goal is to return the cube to it's standard solved state. Likewise, the Unsolver's goal is to ...
12
votes
2answers
2k views
Tic-Tac-Toe Without a Predefined Board
On a warm and uneventful summer day, John and Mary passed the time by playing games of Tic-Tac-Toe, taking sticks and drawing in the soil. John and Mary are both child prodigies, so within two rounds ...
10
votes
1answer
368 views
Lights out game on a chessboard
Alice and Bob play a game with an 8×8 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 ...
14
votes
1answer
415 views
Rook Game on a Chessboard - Take 2
This question is inspired by this puzzle.
You have an $m \times n$ chessboard with $m \le n$. Alice and Bob alternately move the rook (horizontally or vertically, through any number of squares). As ...
5
votes
5answers
342 views
Russian roulette
You are challenged to a game of Russian roulette. Your opponent places two bullets side by side in a six chamber revolver and spins the chamber. She explains that the game is single turn-based and ...
11
votes
1answer
585 views
A Tic-Tac-Toe variant with three marks - winning strategy and chances
We start with a usual $3 \times 3$ grid, $3$ different marks (say, $X, O, I$) and $2$ players.
Player $A$ has to make a vertical, horizontal or diagonal line made of $3$ identical marks (XXX, OOO or ...
2
votes
1answer
158 views
Coins in a row, without the usual restriction
I had been asked the following question:
n coins are placed on a line such that they touch each other. A move consists
in taking either one coin, or two adjacent (touching) coins. Solve the standard
...
4
votes
1answer
173 views
Word-making game
I like to play a game with my family and friends. It goes like this:
The players take turns to say a letter. The letters taken in order must be the start of some word, and the person who finishes a ...
26
votes
3answers
2k views
Finding digits that sum to 15
Rand and Rubio are playing a game in which they each take turns to pick a digit between 1 and 9, without replacement (i.e. all digits chosen are distinct). If one of them manages to get three digits ...
7
votes
1answer
657 views
Tic Tac Toe Recursive
Related: Connect 4 Recursive
We have a mega tic tac toe grid. Each of the nine cells of the mega grid has a smaller tic tac toe grid. In total we have 81 cells that can be filled. (Maybe imagine a ...
7
votes
1answer
407 views
Connect 4 Recursive
Here is a variant of the standard connect 4.
There are seven connect 4 grids (size 6 by 7) numbered 1 to 7. Each grid has the columns numbered 1 to 7. The person who starts selects any one of the ...
2
votes
5answers
454 views
Coin Splitting Game [closed]
There are 8 coins to be divided between A and B. A first makes an offer of how to divide the 8 coins between them. If B refuses A’s offer, then now it is B’s turn to make the offer, but this time 4 ...
21
votes
1answer
949 views
Monte Carlo Chess
This is an entry to the 17th fortnightly topic challenge.
Chess is an interesting game, but is so unrealistic. In real life, you couldn't tell order your knight to attack an enemy bishop and expect ...
3
votes
2answers
150 views
Which player wins in this takeaway game?
Two players A and B play a game where they take turns removing 1,4, or 5 coins from a pile of n coins, A moving first. The player who takes the last coin wins. Who wins when: n=18, n=41, n=56?
This ...
4
votes
6answers
741 views
Best strategy to get all heads/tails from three coins
Your friend has 3 fair coins: a dime, a nickel, and a quarter. She places them on a table behind you. She can arrange then in any pattern of heads and tails as long as they are not all the same.
You ...
8
votes
7answers
1k views
7 Numbered Balls Game
You are walking on the street and notice a guy gambling with some other guys and you start to watch.
The game principle is pretty easy. There are 7 balls in a pouch and you have 3 balls to draw ...
