The European model hunts are private land tags in Colorado, Idaho, Nevada, California, Utah and others. Or systems similar to Texas and other eastern states that do not have much in the way of public lands.
The Actual European model varies greatly by country. Iceland and Norway have lottery hunts with expensive tags for reindeer in. So this isn't foreign.
In most of Western Europe you either pay the county, state, or city or a private landowner to hunt.
There are also federal forest hunts.
Sometimes residents of those nations will pay an outfitter to for a hunting slot that is leased from a government agency or private land owner. Sometimes a hunter will pay the local government.
In Germany, I paid about $800 to join a city owned area that had 3 other hunters. Could shoot 2 roe bucks and unlimited wildboar. These are called small game areas (reviers).
Areas that have red stags, chamois, ibex are bigger and more expensive. Some of them are $25,000 a year, but these are several thousand acres.
Most guys hunt on an individual level with belonging to a "membership" a least a little bit. I normally paid for hunts directly with an outfitter or one of the municipal hunting areas at least a couple of times a year.
A lot of Americans think that European hunting is incredibly expensive. All hunting is expensive. I would say that hunting in Europe is way cheaper than hunting in Texas.