Thanks everyone,
so I see that the general consensus is that Bitcoin mimics a precious mineral. From your explanations it does seem natural, but why is it better than a linear distribution?
With a linear distribution the demand/supply ratio would still grow as Bitcoin would gain popularity (and thus difficulty would increase), so the price would still go up and bitcoins would remain scarce and difficult to obtain. Early adopters would still be decently rewarded. And since bitcoins are divisible, I don't see a problem with whether there a a lot / a few coins already in the circulation.
But a log-distribution benefits the early adopters even more and makes it less and less probable with time that a newcomer will mine, thus compromising the decentralization, doesn't it? I mean, this probability would already be dropping with the difficulty rising, and they half it every 3 years on top of that...
As I was typing this, I thought that perhaps this is designed to soften the transition from free transactions to necessary transaction fees? Perhaps they were afraid that an abrupt change would shatter the network in some way? (though not a good enough for me reason still...)
What do you think?