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Books on Games and Gaming
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Elwyn R. Berlekamp's Winning Ways for Your Mathematical Plays.
And there are a few books about the history of games. They are mostly rules but come with theories about game design in their organization, like R.C. Bell's books or that guy who formulated most games came from China, ach, I can't remember his name or the book title.

Reiner Knizia wrote a pretty thorough book on dice games: Dice Games Properly Explained. It catalogs several traditional dice games with some discussions on strategies and probabilities.
As far as fiction: Player of Games by Iain M. Banks, or Ready Player One (mostly about 80's video games but also text adventures and other stuff from that era).

As far as Poker books (since you mentioned it), Hellmuth's book is pretty meh frankly. The bible is The Theory of Poker, Harrington on Hold 'Em, Volume 1: Expert Strategy for No Limit Tournaments: Strategic Play and its two sequels are excellent as well. I own a couple dozen poker books and played poker for a living for a few years before the online community in the US got shut down.


Elwyn R. Berlekamp's Winning Ways for Your Mathematical Plays.
I am a big fan of the Winning Ways series, in fact I can say they were influential in my becoming a mathematician (although I would have anyway). They have tons of hand-drawn diagrams and charts that I found captivating.
However, a more recent book, Lessons in Play by my friend David Wolfe (Elwyn's student) is probably a more accessible intro to combinatorial game theory.
I should point out that combinatorial game theory (no chance, no hidden information) is a completely different animal from what might be called "economic" game theory (what Nash studied) which is the subject of The Compleat Strategyst. Also a good book, and inexpensive, but doesn't align with what I think of when I think of games, namely abstracts.

I admit, beyond knowing what mathematical game theory is in a general sense, I know nothing about it as a mathematical subject. When I saw The Compleat Strategyst, I figured it would be an easier introduction to the subject than picking up an actual text book. Dover tends to do a decent job on their math "lite" introduction books (and, yes, they are inexpensive).
Do you have any books on what you refer to as "economic game theory"? I would be interested in hearing about those.

I can vouch for Ender's Game being a good book. Up until I read that, I pretty much only read fantasy novels in my youth. Ender's Game was my gateway novel to science fiction. I, too, would recommend people read it if they haven't.


http://www.goodreads.com/book/show/61...

A detailed history of the creation of D&D, with early wargame history thrown in.
Books mentioned in this topic
Playing at the World: A History of Simulating Wars, People, and Fantastic Adventure from Chess to Role-Playing Games (other topics)Ender’s Game (other topics)
The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy (other topics)
The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy (other topics)
Winning Ways for your mathematical plays. Volume 2: Games in Particular (other topics)
More...
For myself, I am looking forward to getting into a few books when I have some time:
Board games:
Tabletop: Analog Game Design
The Kobold Guide to Board Game Design
Video games:
Game Mechanics: Advanced Game Design
Gamer Theory
RPG:
The Kobold Guide to Game Design
Robin's Laws of Good Game Mastering - I don't have this book, but I would really like to read it. Anything to improve a campaign!
Misc:
The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy
Play Poker Like the Pros: The greatest poker player in the world today reveals his million-dollar-winning strategies to the most popular tournament, home and online games
Apologies - I am a bit of a design dork (any kind of design, really). Your replies do not have to center around design - just games. :)