Question: What company published a fantasy tabletop role-playing game originally designed by Gary Gygax and Dave Arneson that has a book of rules that lack the complete set of rules for the game, and only includes rules for use by players of the game?

Context articles: Player's Handbook
Blackmoor (supplement)
Dungeons &amp; Dragons (1974)
Dungeons &amp; Dragons Basic Set
Dungeons &amp; Dragons
Greyhawk (supplement)
Paranoia (role-playing game)
Gary Gygax
Don't Give Up the Ship!
Greyhawk

The Player's Handbook (Players Handbook in first edition "Advanced Dungeons & Dragons" ("AD&D")) is a book of rules for the fantasy role-playing game "Dungeons & Dragons" ("D&D").
 It does not contain the complete set of rules for the game, and only includes rules for use by players of the game.
 Additional rules, for use by Dungeon Masters (DMs), who referee the game, can be found in the "Dungeon Master's Guide".
 Many optional rules, such as those governing extremely high-level players, and some of the more obscure spells, are found in other sources.
Blackmoor is a supplementary rulebook (product designation TSR 2004) of the original edition of the "Dungeons & Dragons" fantasy role-playing game written by Dave Arneson (with a foreword by Gary Gygax).
The original Dungeons & Dragons (commonly abbreviated "D&D") boxed set by Gary Gygax and Dave Arneson was published by TSR, Inc. in 1974.
 It initially included the original edition of the "Dungeons & Dragons" fantasy role-playing game.
 Its product designation was TSR 2002.
The Dungeons & Dragons Basic Set is a set of rulebooks for the "Dungeons & Dragons" ("D&D") fantasy role-playing game.
 First published in 1977, it saw a handful of revisions and reprintings.
 The first edition was written by J. Eric Holmes based on Gary Gygax and Dave Arneson's original work.
 Later editions were edited by Tom Moldvay, Dave Cook, and Frank Mentzer.
Dungeons & Dragons (abbreviated as D&D or DnD) is a fantasy tabletop role-playing game (RPG) originally designed by Gary Gygax and Dave Arneson, and first published in 1974 by Tactical Studies Rules, Inc. (TSR).
 The game has been published by Wizards of the Coast (now a subsidiary of Hasbro) since 1997.
 It was derived from miniature wargames with a variation of the "Chainmail" game serving as the initial rule system.
 "D&D"'s publication is commonly recognized as the beginning of modern role-playing games and the role-playing game industry.
Greyhawk is a supplementary rulebook written by Gary Gygax and Robert J. Kuntz for the original edition of the "Dungeons & Dragons" fantasy role-playing game.
 It has been called "the first and most important supplement" to the original "D&D" rules.
 By adding a combat system, it severed all ties with "Chainmail", making "D&D" a truly stand-alone game system.
 Although the name of the book was taken from the home campaign supervised by Gygax and Kuntz based on Gygax's imagined Castle Greyhawk and the lands surrounding it, "Greyhawk" did not give any details of the castle or the campaign world; instead, it explained the rules that Gygax and Kuntz used in their home campaign, and introduced a number of character classes, spells, concepts and monsters used in all subsequent editions of "D&D".
Paranoia is a dystopian science-fiction tabletop role-playing game originally designed and written by Greg Costikyan, Dan Gelber, and Eric Goldberg, and first published in 1984 by West End Games.
 Since 2004 the game has been published under license by Mongoose Publishing.
 The game won the Origins Award for Best Roleplaying Rules of 1984 and was inducted into the Origins Awards Hall of Fame in 2007.
 "Paranoia" is notable among tabletop games for being more competitive than co-operative, with players encouraged to betray one another for their own interests, as well as for keeping a light-hearted, tongue in cheek tone despite its dystopian setting.
Ernest Gary Gygax ( ) (July 27, 1938 – March 4, 2008) was an American game designer and author best known for co-creating the pioneering role-playing game "Dungeons & Dragons" ("D&D") with Dave Arneson.
 Gygax has been described as the father of "D&D".
Don't Give Up the Ship is a set of rules for conducting Napoleonic era naval wargames.
 The game was published by Guidon Games in 1972 and republished by TSR, Inc. in 1975.
 It was the first collaboration between Dave Arneson and Gary Gygax, the co-creators of "Dungeons & Dragons".
 "D&D" fans may also recognize the name of contributor Mike Carr, who edited the rules and researched the historical single ship actions that are included as game scenarios.
Greyhawk, also known as the World of Greyhawk, is a fictional world designed as a campaign setting for the "Dungeons & Dragons" fantasy roleplaying game.
 Although not the first campaign world developed for "Dungeons & Dragons"—Dave Arneson's "Blackmoor" campaign predated it by over a year — the world of Greyhawk was the setting most closely identified with the development of the game from 1972 until 2008.
 The world itself started as a simple dungeon under a castle designed by Gary Gygax for the amusement of his children and friends, but it rapidly expanded to include not only a complex multi-layered dungeon environment, but also the nearby city of Greyhawk, and eventually an entire world.
 In addition to the campaign world, which was published in several editions over twenty years, Greyhawk was also used as the setting for many adventures published in support of the game, as well as for RPGA's massively shared "Living Greyhawk" campaign from 2000–2008.