Is there a term for a non-ftp electronic deck-building card game (a CCG without the first C)?

I'm looking for an electronic deck-building card game, where you don't have to collect the cards to play.

I'm looking for something similar to Hearthstone or Magic: The Gathering Online, but where you don't have a different card collection from everyone else. (Rather than a free-to-play game where you have to collect cards slowly or else pay for packs, I'm looking for a subscription-based or one-time purchase game where you have the full card collection and then can build decks and play games based on that.)

The closest I've found to a game like this is Spectromancer. Knowing if there's a generic term would help to find other similar games. Trying to Google a "trading card game without trading" or "collectible card game without collecting" doesn't exactly yield helpful results.

Is there a term for a game like this?

It looks like there are actually two terms for this type of game, depending on the distribution model (repeated subscription-like purchases or a one-time purchase).

A "Living Card Game" (LCG) is game where you buy the full set of cards at once. Later expansions may come out, which can be purchased separately.

A "Deck-Building Game" is a game where you buy a full set of cards once and then play with them. The best known of these is likely Dominion.