Questions tagged [game]

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

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2
votes
1answer
413 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
408 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
441 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
300 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
778 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
172 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. ...
7
votes
2answers
438 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
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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 ...
13
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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
387 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
473 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
426 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
631 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
167 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
182 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 ...
28
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
817 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
527 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
484 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
1k 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
159 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
817 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
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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 ...
2
votes
3answers
210 views

Who plays with these dice?

As I was visiting a gadget shop I noticed these dice that had this images from top, front, and side - presented in the picture. Than I noticed another feature and knew it. Who plays with these dice? ...
8
votes
2answers
2k views

25 square puzzle

You have a 5x5 grid filled with 25 zeros. Your objective is to convert the grid into 25 ones. You must do this by a series of special moves. On each move, you select a single cell. All four ...
15
votes
3answers
697 views

Haydn and Beethoven are celebrating Mozart's birthday

They decided the following game is suitable to the occasion: taking alternating turns they say numbers, keeping the following rules: In the first turn, Haydn says the number $2$. After that, the ...
39
votes
1answer
2k views

Polynomial game with Devil

You die, and awake in Hell. Satan awaits you, and has prepared a curious game. On a blackboard, he has written the polynomial $x^2+x+666$. He explains the rule: On each day at $12$ noon, you must ...
19
votes
4answers
2k views

Obtain the “Master of stones” title

Note : the mechanisms described in this puzzle are related to those found in this question. This is a game of 2 players. Each player can pick up 1, 2, or 3 coins in any pile (copper , silver , gold) ...
14
votes
1answer
556 views

Money Game with $1025$ cards

Alice is playing a game with Bob. They have $1025$ cards, with the numbers $0,1,2,\cdots , 1024$ written on them. Each card contains exactly one number and each number is written on exactly one card. ...
21
votes
4answers
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 ...
3
votes
2answers
262 views

An unlikely series of events

This series of 8 events would be rather unlikely, but possible. They are all related to the same thing. What are they? Hint 1: Hint 2: Hint 3: Hint 4:
1
vote
1answer
72 views

An Honored Tradition

What does this riddle represent? One unbroken chain Colors fly One through three, C.A.F. Merci Pierre
3
votes
2answers
347 views

Perfect strategy for the 2nd player in 'The coins on a table game'

I've just seen this and looked at the duplicate post it directs me to. I'm interested in a point raised in one of the comments in the answer, although it wasn't resolved in that question. It is ...
6
votes
1answer
279 views

The Diamond Game [duplicate]

Barkeep: Well hello there, come to play the famous Diamond Game? The rules are notoriously simple. Here's an ace of diamonds card (it's larger than normal), and here are a pile of pennies. We ...
9
votes
2answers
418 views

How to beat Count Dracula, part 3

This is a follow-up to "How to beat Count Dracula" and to "How to beat Count Dracula, part 2". Abraham Van Helsing and Jonathan Harker play a game against Count Dracula. The three players agree on ...
2
votes
2answers
353 views

How to beat Count Dracula, part 2

This is a follow-up to "How to beat Count Dracula". Abraham Van Helsing and Jonathan Harker play a game against Count Dracula. The three players agree on the following rules: Count Dracula and ...
4
votes
1answer
273 views

Practical Strategy to beat the casino over the long haul [duplicate]

This is another iteration of beat the casino. That question did not require a practical, implementable strategy, whereas this one does. The rules are the same and I list them below. However, the OP ...
15
votes
9answers
3k views

A search game with 2016 numbers

Alice secretly chooses $2016$ integers $x_1,x_2,\ldots,x_{2016}$. Among these $2016$ integers there are $2015$ that all have the same value, and there is only one number $x_k$ that takes a different ...
8
votes
2answers
480 views

Chess with bouncing and explosion

Consider chess with the following additional rules: The edges of the board consist of ranks 1 and 8 and columns a and h. Bouncing: When a piece goes from a non-edge square to an edge square, it ...
20
votes
4answers
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, $A$ ...
35
votes
1answer
5k views

Say 100 and win

Our good friends that like games, Alice and Bob, play a game called "Say 100 and win". The rules are: In the beginning they use one regular 6 faced die to get a random number between 1 and 6. Let's ...
16
votes
1answer
2k views

A game with 330 pebbles

Anastasia and Barnabas play a game that starts with $330$ pebbles in a bowl. The game consists of two phases. The first phase looks as follows: First Anastasia announces an integer $A$ with $2\le A\...
35
votes
5answers
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 ...
14
votes
5answers
2k views

The Good, the Bad and the Ugly

Tuco, Blondie and Sentenza play a game with a single die. Tuco has the first roll, then Blondie, and then Sentenza, and so on. As soon as a player tosses a six, that player drops out of the game and ...
7
votes
2answers
675 views

A matchstick game

On the table there is a $9\times9$ grid made of matchsticks, so that each of the $81$ little squares is bordered by exactly four matchsticks. Alice and Bob play the following game. Alice and Bob move ...
5
votes
3answers
401 views

Removing green marbles from the table

Alice and Bob play the following game that starts with $N\ge3$ green marbles on the table. Alice and Bob move alternatingly. Alice makes the first move. In this first move, Alice removes $x$ green ...
8
votes
1answer
300 views

Two players playing the SET game

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 ...
6
votes
3answers
427 views

Guessing a number with 250 divisors

Alice and Bob play the following number guessing game. First Alice picks an integer $n$ with exactly $250$ positive divisors. These divisors include $1$ and $n$, and are denoted as $1=d_1<d_2<...
3
votes
2answers
156 views

Stakes on a table [duplicate]

Two men sat at a square table, each with a very large number of stakes. They had entered a contest of wits, or so they called it. The winner of the contest would be the last person to place a stake ...