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All Games Bright and Beautiful

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Book Id: WPLBN0000654337
Format Type: PDF eBook
File Size: 34.25 KB
Reproduction Date: 2005
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Title: All Games Bright and Beautiful  
Language: English
Subject: Science., Mathematics, Logic
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All Games Bright and Beautiful. (n.d.). All Games Bright and Beautiful. Retrieved from

Mathematics document containing theorems and formulas.

Excerpt: What is a combinatorial game? The usual definition is a game in which (i) there are two players moving alternately; (ii) there are no chance devices and both players have perfect information; (iii) the rules are such that the game must eventually end; and (iv) there are no draws, and the winner is determined by who moves last. In this section, two master expositors lead us through many examples of such games, and introduce the theory that has been developed to deal with them (pages 13{78). As an appetizer, you may prefer to read first J. H. Conway's charming study (pages 3{12) of a game that does not satisfy this definition, because it may well be endless. Or, if you already know the basic theory and are dying for action, turn to the reports of the Workshop tournament finals, on pages 79{89; or download the Gamesman's Toolkit, described on pages 93{98. Have fun!...


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