Question: What were the prototype Big Daddy characters called in the sequel version of the BioShock series?

Context paragraphs:
BioShock 2: Minerva's Den: BioShock 2: Minerva's Den is a single-player downloadable content (DLC) campaign for the 2010 first-person shooter video game "BioShock 2".  In the DLC the player assumes the role of Subject Sigma, an Alpha Series Big Daddy, as he travels through Minerva's Den, home to Rapture's Central Computing.  The campaign features three new levels and provides deeper insight into Rapture's inner workings.

Veteranz' Day: Veteranz Day is the seventh and final studio album by emcee Big Daddy Kane, released on April 28, 1998.  The album came four years after his previous effort, 1994's "Daddy's Home".  "Veteranz Day" received little attention, commercially and critically, and was met with mixed reviews and little sales.  It was his first and only album not to chart on the "Billboard" 200.  "Veteranz' Day" was the first and only album release for the small New York-based record label called the Label Records, which was founded by Frank Yandolino.  Although it managed to earn a distribution deal with Mercury Records by way of Joan Jett's and Kenny Laguna's Blackheart Records, which was acting as a boutique distribution outlet for independent labels from 1998 to 2000, The Label folded almost shortly after the release of "Veteranz Day".  The album features the single "Uncut, Pure," which reached the top 10 on the Hot Rap Singles chart.  There are two versions of "Uncut, Pure"—the original version produced by Easy Mo Bee, and a sequel version produced by Big Daddy Kane himself, the latter of which was released on the independently released 12-inch single and also featured as a bonus track on the CD and cassette versions of the album.

Characters of the BioShock series: The "BioShock" series is a collection of story-driven first person shooters in which the player explores dystopian settings created by Ken Levine and his team at Irrational Games.  The first two games, "BioShock" and its direct sequel, "BioShock 2", take place in the underwater city of Rapture in the 1950s and 1960s, which was influenced heavily by Ayn Rand's Objectivism.  The third installment, "BioShock Infinite", is set aboard the floating air-city of Columbia in 1912, designed around the concept of American Exceptionalism.  Though "Infinite" is not a direct sequel to the previous games, the game is thematically linked; a short scene within the core "Infinite" game returns to Rapture, while the downloadable content "" tie in many of the plot elements between "BioShock" and "BioShock Infinite".

Smooth Operator (Big Daddy Kane song): "Smooth Operator" is the lead single released from Big Daddy Kane's second album, "It's a Big Daddy Thing".  Arguably one of Big Daddy Kane's most popular songs, the song topped the newly formed "Billboard" Hot Rap Singles chart and was a hit on the R&B and dance charts, peaking at number 11 and 17 on the charts respectively.  The song samples "All Night Long" by Mary Jane Girls.  Actor and comedian Chris Rock appears in the music video getting his hair cut.  He appears 2 minutes, and 23 seconds into the video.

Big Daddy (BioShock): A Big Daddy is a fictional character in the "BioShock" series of video games.  Big Daddies are heavily spliced (genetically mutated and altered with ADAM) human beings who have had their bodies directly grafted into heavily armored, steampunk-inspired atmospheric diving suits.  They are armed with a rivet gun, heavy drill, rocket launcher, or ion laser.  Alpha series Big Daddies are equipped with any of several other weapons as well.  Though they make low-pitched groaning noises similar to whales, Big Daddies have no voice actor attributed to them.  Designed by Irrational Games (then under the supervision of 2K Boston/2K Australia), they first appeared in "BioShock" and were promoted heavily.  A six-inch Big Daddy action figure was included in the limited edition version of the title.  In its sequel, "BioShock 2", the player controls a prototype Big Daddy.

The Saturday Show (ITV TV series): The Saturday Show is Birmingham-based Central Television's flagship Saturday morning kids TV show which replaced their previous show Tiswas.  It ran on ITV for two series between 1982 and 1984.  It was originally planned that popular wrestler Big Daddy would host and that it would be called "Big Daddy's Saturday Show".  A pilot show was recorded with Big Daddy presenting, assisted by Isla St Clair and short films were shot with Big Daddy to insert in the upcoming series; a trailer for "Big Daddy's Saturday Show", complete with logo was shown on ITV the Saturday morning before the show was due to air.  It was then announced during the week that Big Daddy was dropping out and that Isla St Clair would now take the lead, with ex-Magpie host Tommy Boyd assisting and with Jeremy Beadle being used as an occasional "stand in" host.  The actor David Rappaport was also a fixture playing the character "Shades", as was football legend Jimmy Greaves.

Big Daddy's Restaurants: The first Big Daddy's Restaurant opened in 1964, and was located on Coney Island Avenue in the Sheepshead Bay section of Brooklyn, NY.  It was known to be the only true competitor of Nathan's Famous Hot Dogs.  The driving force behind Big Daddy's success was the partnership of Murray L. Handwerker, the nephew of Nathan Handwerker, founder of Nathan's Famous and Robert "Big Daddy" Napp.

Big Daddy Carlos: Big Daddy entered the nightclub scene in his late teens running the door for David Lee Roth's Hollywood after-hours club The Zero.  Over the next couple of years he made the jump from doorman to DJ to venue promoter, while majoring in communications at Cal State Fullerton on a full athletic football scholarship.  In 1993, Carlos chose the Hollywood nightlife industry over a professional football career.  In his early twenties Big Daddy teamed up with casino heir Eddie Harrah to open Sweet Daddy Brown's Private Gaming Club (1993–1997).  From 1994 through 1999 Big Daddy Carlos was the promoter and house DJ at Johnny Depp's Viper Room while running numerous Hollywood venues, including The Opium Den, Blue, Dragonfly, Martini Lounge and Vertigo.  He also owned BC Productions, which hosted entertainment industry events in New York, Las Vegas, San Francisco, Spain, Portugal and Australia.

Big Daddy Kane: Antonio Hardy (born September 10, 1968), better known by his stage name Big Daddy Kane, is a Grammy Award-winning American rapper and actor who started his career in 1986 as a member of the rap collective the Juice Crew.  He is widely considered to be one of the most influential and skilled MCs in hip hop.  The name Big Daddy Kane came from a variation on Caine, David Carradine's character from TV show Kung Fu and a character called "Big Daddy" Vincent Price played in the film "Beach Party".

BioShock 2: BioShock 2 is a first-person shooter video game developed by 2K Marin and published by 2K Games.  It is the sequel to the 2007 video game "BioShock" and was released worldwide for Microsoft Windows, the PlayStation 3, and the Xbox 360 on February 9, 2010.  Feral Interactive released an OS X version of the game on March 30, 2012.  Set in the fictional underwater dystopian city of Rapture, the game's story takes place eight years after the events of the first "BioShock".  Assuming control of Subject Delta, a hulking Big Daddy, players are tasked with fighting through "splicers", the psychotic human population of the city, using weapons and an array of genetic modifications.  The game also introduces a story-driven multiplayer mode called "Fall of Rapture", which takes place during Rapture's 1959 civil war, before the events of the first game.

Supporting paragraphs: Big Daddy (BioShock) BioShock 2
Answer: Subject Delta