I'm currently reading Fermat's Last Theorem by Simon Singh, which I will be reviewing in a few days once completed. One of the topics discussed is "Game Theory" which seeks to use Mathematics to explain the structure of games, from Chess to War and the actions of the participants. As part of this discussion, the following puzzle is outlined:
"One morning, Mr Black, Mr Grey and Mr White decide to resolve a conflict by truelling [duelling for three people] with pistols until only one of them survives. Mr Black is the worst shot, hitting his target on average only one time in three. Mr Grey is better shot hitting his target two times out of three. Mr White is the best shot hitting his target every time.
To make the truel fairer Mr Black is allowed to shoot first followed by Mr Grey (if he is still alive), followed by Mr White (if he is still alive), and round again until only one of them is alive."
Where should Mr Black aim his first shot? Answer tomorrow...
Andrew
"One morning, Mr Black, Mr Grey and Mr White decide to resolve a conflict by truelling [duelling for three people] with pistols until only one of them survives. Mr Black is the worst shot, hitting his target on average only one time in three. Mr Grey is better shot hitting his target two times out of three. Mr White is the best shot hitting his target every time.
To make the truel fairer Mr Black is allowed to shoot first followed by Mr Grey (if he is still alive), followed by Mr White (if he is still alive), and round again until only one of them is alive."
Where should Mr Black aim his first shot? Answer tomorrow...
Andrew
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