Yeah terminology is all sorts of confusing.
First party intellectual property = a piece of IP that is owned by the manufacturer of the consoles. Halo, Resistance, Mario, etc.
Third part IP = piece of IP that is not owned by the manufacturer of the consoles but appear on it.
First party devs = the company is owned wholly by the console manufacturer. Naughty Dog, Rare, Sony Santa Monica, etc.
Third part devs = everyone else.
2nd party devs/2nd party IP is a made up and loose term basically meaning an IP/dev group which is wholly independent but only makes/is made for a particular console. It would be as if the Tekken series was made only for Sony products, it would be a "2nd party" IP though there is no real binding agreement, so it could become 3rd party at any point. This is why 2nd party terminology is stupid.
