Do you have an example in mind? I’m struggling to think of a real-world example of a single transit network regulated by two separate transit authorities. If they’re regulated by two separate authorities, wouldn’t they by definition be two separate networks? My understanding of network tag in OSM public transit tagging is that it refers to organizational networks, rather than “all transit in $city”. Are there counterexamples currently present in OSM?
And indeed you have buses tagged as network=Autobusy we Wrocławiu with operator=MPK Wrocław, trams tagged as network=Q1531939 (trams in Wrocław) with operator=MPK Wrocław, and trains tagged as network=Dolnośląskie Koleje Aglomeracyjne with operator=Koleje Dolnośląskie.
What information would you like to add? What do you think is incorrect?
If you can ride a bus and a tram with the same ticket, perhaps they should be part of the same network?
Where can an OSM contributor find what city department is the authority for transit in Wrocław? I searched for a few minutes and I’m only finding MPK which legally seems to be a corporation (Sp. z o.o.) owned by Gmina Wrocław.
Probably the main question: what is the use case for tagging who regulates/designs/funds a route in OSM? I see it answered in your later post.
I would say this determines the network. Other stuff is just organizational detail of little relevance to OpenStreetMap. Who is going to query OSM for which company operates a bus line?