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Game Theory 101: Cannibals

The game comes from the book Math Puzzles: Classic Riddles in Counting, Geometry, Probability, and Game Theory:http://www.amazon.com/gp/product/B007ONNCWO/ref=as_li_ss_tl?ie=UTF8&tag=gamthe101-20&linkCode=as2&camp=1789&creative=390957&creativeASIN=B007ONNCWOHere's the author's website: http://mindyourdecisions.com/blog/One tourist and a bunch of cannibals are on an island. The first cannibal decides whether to eat the tourist. If he does, he leaves himself vulnerable to the second cannibal eating him. But if the second cannibal eats the first cannibal, the third cannibal has the opportunity to eat the second cannibal. And so forth. Does the cannibal survive?This game is a fun application of backward induction. The trick is figuring out how to apply backward induction when it is not immediately apparent.If you liked this game, you might want to check out the pirate game, which has a related solution method: http://www.youtube.com/watch?v=mcaLhmDdlVw
Length: 07:33

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