Tagged Questions
1
vote
0answers
51 views
You are Johnny Depp 3!
An extension of this question.
As @Jared stated in his answer the solution is:
we assume that the head pirate chooses between multiple possible proposals that maximize his profit by rewarding ...
6
votes
2answers
255 views
You are Johnny Depp 2!
An extension of this question repeated below.
A band of 9 pirates have just finished their latest conquest -
looting, killing and sinking a ship. The loot amounts to 1000 gold
coins.
...
6
votes
2answers
196 views
How to solve this puzzle?
There are $N$ consecutive doors. Two players 'B' and 'J' plays a game. Both take turns alternately, and in each turn a player can open any one door. They define a block of 3 consecutive open doors as ...
0
votes
0answers
66 views
Generalizing the number theory problem 31
I came across this problem today Number Game: 31 - Winning Strategy?
This is a wonderful game theory problem. The constraint of limited usage of a specific number make it quite interesting. I was ...
4
votes
3answers
148 views
How to formally model the “hesitation” in the hat-guessing puzzle?
Hua Luogeng (in Chinese, 华罗庚) took a hat-guessing puzzle as an illustration in a booklet focusing on mathematical induction. The following description is a literal translation from Chinese.
...
2
votes
2answers
594 views
Winning strategy for a matchstick game
There are $N$ matchsticks at the table. Two players play the game.
Rules:
(i) A player in his or her turn can pick $a$ or $b$ match sticks.
(ii) The player who picks the last matchstick loses the ...
6
votes
1answer
340 views
Game theory problem: Poker with bluffing
Hope someone can help me with this one. The problem I am talking about can be found in the book titled "Game Theory Evolving: A Problem-Centered Introduction to Modeling Strategic Interaction" by ...
2
votes
1answer
86 views
Winning strategy
Is there a winning strategy for player one or two in the following scenario:
The game begins with the number
2012. In one turn, a player can subtract from the current number any natural number
less ...
6
votes
1answer
429 views
Number Game: 31 - Winning Strategy?
My Maths teacher taught us how to play a game called 31 on Friday. Not once did my Maths teacher lose. I want to know why.
I'll explain the game...
31 is a game between two people.
Let's say you've ...
0
votes
1answer
152 views
Given a victory condition and a set strategy, what are the chances of winning on a given turn in a game of Magic: The Gathering?
Tl;DR: You have winning cards. To win, you must be able to play those cards, and have them in your hand. Your hand is randomly drawn. When might you win? How could find the answer to this (very ...
6
votes
1answer
294 views
Soccer and Probability
MOTIVATION: I will quote Wikipedia's article on a soccer goalkeeper for the motivation:
Some goalkeepers have even scored goals. This most commonly occurs where a goalkeeper has rushed up to the ...
7
votes
1answer
332 views
Irreversible chess [closed]
Suppose we play a chess-variant, where any finite number of pieces are allowed, and the board is as large as we wish, but only two kings in total. And there is no 50 move-rule, no castling and no ...
13
votes
1answer
1k views
Is chess Turing-complete?
Is there a set of rules that translates any program into a configuration of finite pieces on an infinite board, such that if black and white plays only legal moves, the game ends in finite time iff ...
