文档介绍：The Mathematics of Magic: The Gathering
A study in probability, statistics, strategy, and game theory
By Jon Prywes
May-June 1999
Here are some of Jon Prywes' Magic plishments:
He wrote a Magic magazine online called The Library of Leng, from 1995 to 1997;
He wrote three articles for Scrye Magazine in 1996 and 1997;
He started a Magic club at his high school in 1997, which ran through 1999;
He played in several petitive tournaments including the 1999 Junior Super Series Eastern Divisional;
He wrote numerous articles for The Magic Dojo (featured on this page);
He wrote a paper about the ponents of Magic in 1999 (also featured on this page);
He has done hundreds of Magic eBay auctions;
He worked at a day camp teaching Magic strategy to kids in the summer of 1999
Table of Contents
Introduction to Magic: The Gathering
A Mathematical Introduction 3
A Description of the Game 4
A Sample Game 5
Why Experience Counts 6
Two-Person Game Theory
What Does It Mean? 8
The Basic Concepts 8
Two-Person Game Theory and Magic: The Gathering 10
Probability
Probability and Magic: The Gathering 13
Shuffling and Randomization 14
Drawing Cards From a Deck 15
The Average Game 1
Chance Versus Skill 3
Deckbuilding
Deckbuilding and Magic: The Gathering 4
Deck Archetypes and Deck Strategy 5
parison and Winning Ratios 6
Card Efficiency and Resource Management 8
The Big Game
Probability, Statistics, Game Theory, and Magic 9
Math and the Average Player 10
Personal Applications 12
Introduction to Magic: The Gathering
A Mathematical Introduction
Magic: The Gathering is a game which some take seriously, and others lightly. Many understand it, even more do not. Some play it nonstop and others never see the point. Personally, I think it is a great game. Only those who actually play the game can truly understand how wonderful it is. Most people who write it off as pointless do not see the mechanics of the game that make it simple, plex. In its five years