Minecraft was publicly released as an early alpha in 2009, and there was not a full release until 2011. Thisstands as an example proving that a clearly unfinished game can be released and iterated into a much better game than the developer could have created in isolation.

The trick was that the state was described honestly. It was offered cheaply. Upgrades were always free, but the next version always cost more. This set expectations properly.

If Notch can do it, and you want to, maybe you should try it.