Imagine Magazine - Johns Hopkins - March/April 2010 - (Page 47)

knossos games Sur vivor by Tim Boester The ten contestants left on Survivor have formed four alliances within their tribe: an alliance with four people, an alliance with three, an alliance with two, and a person who has formed an alliance of one. The people within each alliance have secretly agreed to vote off the same person in the next tribal council. Naturally, the contestants vote to oust people outside their own alliance (and thus no one votes for themselves). When talking to the people within their alliance, each person speaks truthfully about whom they will vote off. However, when speaking with someone outside their alliance, they always lie. (Thus, the person who is in the alliance of one lies to everyone.)  In order to make the lie more believable, they say that they will vote off someone who isn’t in their own alliance.  In order to make the lie non-threatening, they say that they will vote off someone who isn’t in the alliance of the person with which they are speaking.  In order to make the lie uninformative, they say that they will vote off someone who isn’t in the alliance of the person they actually are voting off. (Note: depending upon who is speaking to whom, some of these conditions may be redundant.) Clues: Jacob to Teresa: “I’m voting for Michael.” Allison to Chris: “I’m voting for Jacob.” Michael to Donte: “I’m voting for Allison.” Allison to Sara: “I’m voting for Michael.” Jacob to Chris: “I’m voting for Teresa.” Allison to Genevieve: “I’m voting for Sara.” Samantha to Donte: “I’m voting for Teresa.” Jacob to Peter: “I’m voting for Allison.” Tribal Council vote: 6 votes for Jacob 4 votes for Allison From the statements above and the results of the actual tribal council vote, can you determine who was in each alliance, and how each alliance voted? Knossos Games 17.3 Solution minimum path score: 67 maximum path score: 10,978 tim Boester is an Assistant Professor in Mathematics education at Wright state University. You can find more puzzles on his website at homepage.mac.com/ boester. www.cty.jhu.edu/imagine imagine 47 VectoRstock http://homepage.mac.com/boester

Table of Contents for the Digital Edition of Imagine Magazine - Johns Hopkins - March/April 2010

Imagine Magazine - Johns Hopkins - March/April 2010
Contents
Editor’s Note
Big Questions
In My Own Words
Why Study Philosophy?
The Great Conversation
Robots, Zombies, and Descartes
The Wide World of Philosophy
The Philosopher’s Toolbox
Bad Dreams, Evil Demons, and The Experience Machine
Harry Potter and Plato
Exploring Ethics (or, Why I Give Up Saturdays in Spring)
How to Start a Philosophy Club
Selected Opportunities & Resources
Middle Ground
Off the Shelf
Word Wise
Exploring Career Options
One Step Ahead
Planning Ahead for College
Students Review
Creative Minds Imagine
Sudoku
Knossos Games

Imagine Magazine - Johns Hopkins - March/April 2010

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