I like the book "The Art of Strategy" by Dixit and Nalebuff--it's a major revision of their classic book "Thinking Strategically."

I also like "A Beautiful Math" which you can read online:

http://books.nap.edu/openbook.php?record_id=11631&page;=R1

For other free online articles, check out:

Encyclopedic entry:
http://plato.stanford.edu/entries/game-theory/

Overall game theory website:
http://www.gametheory.net/

Lots of good definitions and experiment ideas:
http://econport.gsu.edu/content/handbook/gametheory.html

And if I could do a little bit of self-promotion, my website has lots of non-technical game theory articles:
http://mindyourdecisions.com/blog/category/game-theory/

You could get started with one of the following reader favorites:

How to divide restaurant bills fairly:
http://mindyourdecisions.com/blog/2008/01/29/game-theory-tuesdays-dividing-a-restaurant-bill/

Dark Knight and game theory:
http://mindyourdecisions.com/blog/2008/08/19/game-theory-in-the-dark-knight-a-critical-review-of-the-opening-scene-spoilers/

How game theory solved a religious mystery:
http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/

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