>I believe this must not be achieved by any kind of coercion coming from government.
The thing is, as soon as you talk about a system of property, you're talking about violent coercion. Even before you consider corruption, the government is disproportionately helping rich people by enforcing that they have exclusive access to a larger share of the world's resources. That's fundamentally what it means to be "rich".
Now don't get me wrong, I'm not going to suggest completely abolishing property rights. I just get sick of people using "it's coercion" as an argument against any government intervention, while quietly ignoring the absolutely huge amount of coercion involved in enforcing a "free market".
>Nobody will be able to make money by favoritism or coercion or corruption if there is no entity (e.g. government) that facilitates those things.
People are perfectly capable of favouring, coercing and corrupting others without any help. Centralised power can make it worse in some cases, but it's not like all that power disappears when you take away the government.