Accuracy in computer terms.

I have a computer game that I just purchased on a disc. I put the disc in, it either stays in or gets downloaded to my computer. I play the game without outside “interference.” I have no idea how I’m doing vis a vis rate of progression.

What if I have a different hardware disc, that in addition to the former, interfaces with another computer through the internet and that other computer changes its plays depending on what I do on my end. What would you call that? Its something that goes beyond the limits of my interacting with a software program on a disc that sits statically in my computer. Are they both referred to as “software” and “programs” even though there is an additional element in the second game?

Surely, there is a distinction between the two and word definitions that signify that difference. They’ve both been referred to as programs but that’s a huge umbrella that doesn’t tell us much. With one game, I’m interacting only with the software that’s on the disc. There is no other computer, nor is there a person. With the other game, my responses, each nuance of a response from me, goes somewhere…to another program or computer over the net. That thing analyzes what I’ve just done and calculates how it should respond back. It sends its responses back to me and so it goes….over and over . There’s a cadence…a feeling to it that I don’t get from just interacting with the information I just downloaded onto my own computer. It feels like a much richer, more dynamic system.

Is there any vocabulary that can signify this distinction? If the first is called software or a software program, is there any term that would be more descriptive of the second kind of game?