The equivalent system existed in Ireland until 2000, with taxi licenses changing hands for over $100,000. I'd be surprised if this doesn't persist in other European countries and cities.
In places with good public transit, this resulted in people using public transit to get home when taxis weren't available, now everyone just takes an uber/lyft. Additionally, this also hurts the speed at which busses can travel. However, now you see places like manhattan have far more cars on the road at any given time than before considering the taxis never left, and the number of cars went up to meet demand.
It was always so. The medallion system was imposed after taxi drivers rioted, set stuff on fire and attacked the police, since they disliked the competition from unemployed people who tried to make a living during the Great Depression.
"Striking taxi drivers was nothing new–the first strike took place in 1908, a year after the first taxi company was founded. But this strike had a hostile energy to it, as strikers went hunting for scabs to punish. As one driver put it, “the bastids that was scabbin’, we pulled the doors off their cabs.” Independent cab owners, who had nothing to gain by striking, had their windows smashed by blocks of ice and passengers thrown from their cabs. Police who tried restore order had their tires slashed and marbles thrown under their horses. By February 5, angry crowds of driving were brawling in the street with the police and torching independent cab cars."
In the UK you have to also pay fees up front (and pass certain tests) but the fees are relatively modest[1] and the tests include things like knowledge, medical fitness and criminal records, which all seems reasonable. This legally applies to Uber drivers too, although whether it is enforced seems to be in doubt[2].
(I'm not talking about London black cabs which operate on a slightly different system)
[1] The fees for my local council are in section 10 here: http://www.dacorum.gov.uk/docs/default-source/licensing-docu...
[2] https://www.standard.co.uk/news/transport/uber-may-face-21m-...