Can your model of "objective" success actually make any predictions? Could you have predicted the success of Minecraft Alpha, for instance? We both agree that given X=1 person, Y=~$0, T=1 year, and Z=$80 million, that Minecraft Alpha was a success. But how would you have objectively known that that was going to happen?
A prediction is very possible indeed, but it won't be an exact prediction (nor does it need to be, because there's levels of success, not just "either complete success or complete failure"). It's similar to Peter Jackson being in no position to predict the exact number of Oscars that he'd win. But that's not synonymous to saying that it was pure chance that made the LOTR movies succeed rather than flop. The world isn't black and white.
Let's analyse Minecraft:
- The game has a virtually infinite creative possibility space.
- It is almost effortless to learn playing it.
- It is low-tech, Java based and easily run on almost all machines.
- The theme of Minecraft is pleasant and family-friendly.
- Notch chose a set of simple principles for the game.
- Minecraft balances the creative aspect with the challenge of survival etc.
- Minecraft is a 10-second DL, it doesn't even need installing.
- Minecraft is unique (afaik) in that it allows for multi-player, real-time creativity between players.
and more.
Now, let's analyze the gaming community:
- Java has exploded in popularity, in general.
- Indie games have gotten more media attention.
- "Fun" in games typically refers to how players' motivations are satisfied - fantasy, fellowship, challenge, mystery, bragging rights, exploration, etc.
- For the last decade, the popularity of player-generated content has sky-rocketed, clearly showing the importance of player creativity.
Well, considering what type of game Minecraft is, you do the math. But a small correction - Minecraft Alpha wasn't that big of a success, compared to now. It's largely what Notch has chosen to add into the game for the last 2 years or so, that has made it what it is today. And my current prediction is that the game is going to continue to grow in popularity for at least another 1-2 years (depending on which areas Mojang choose to improve things in).