I'm inclined to argue that the term "game" in "video game" is somewhat of an artefact title, coming from the origins of video games as games in the ludological sense. Since those days, however, "video games" have branched out, and I feel that today the defining trait of a "video game" is not that it has rules or goals, but rather that it be interactive (well, and that it run on some form of electronic environment, I suppose). To me a "video game" is about having an interactive experience, whether or not it's technically a "game".
If I were to name the medium today, I'm not sure of what I'd likely call it. "Interactive media" comes to mind, but that's perhaps somewhat overlong. :/
In terms of ludic versus narrative content, I think that I agree with the poster that suggested that video games may contain both. A video game, I feel, is not necessarily all story or all game, but some mix of the two. (Albeit slightly skewed: my requirement that a game be interactive allows for entirely ludic games, but I'm not sure of how to create an entirely narrative game--that is, one with no ludic elements at all--while yet having some interactivity).
(Funnily enough, I hold a similar view with regards to the genre-title "adventure game": it stemmed, as I recall, from comparison with the old game "Adventure", thus referring to a game similar to "Adventure", rather than a game on which one goes on an adventure. Over time the genre has acquired its own traits independent from that old game.)
If I were to name the medium today, I'm not sure of what I'd likely call it. "Interactive media" comes to mind, but that's perhaps somewhat overlong. :/
In terms of ludic versus narrative content, I think that I agree with the poster that suggested that video games may contain both. A video game, I feel, is not necessarily all story or all game, but some mix of the two. (Albeit slightly skewed: my requirement that a game be interactive allows for entirely ludic games, but I'm not sure of how to create an entirely narrative game--that is, one with no ludic elements at all--while yet having some interactivity).
(Funnily enough, I hold a similar view with regards to the genre-title "adventure game": it stemmed, as I recall, from comparison with the old game "Adventure", thus referring to a game similar to "Adventure", rather than a game on which one goes on an adventure. Over time the genre has acquired its own traits independent from that old game.)