QUINCY, MASS. — The office here that houses Irrational Games isn’t listed on a building directory. The company door is unmarked and locked. And the maze of rooms that many people would want to see behind that door — the studio where one of the year’s most anticipated video games is being readied for release on Tuesday — is harder to find.

Ken Levine, the 46-year-old co-founder and creative director of Irrational Games, likes it that way. “We need our privacy,” he said recently, “to give BioShock Infinite the care it deserves.”

The word “care,” however, doesn’t come close to capturing the effort that went into BioShock Infinite, an unusually cinematic shooting adventure set in a floating city in which the ultimate goal is to rescue a mysterious young woman. Mr. Levine and a team of 200 have been toiling on the game, the third BioShock installment, for more than four years.