We already have that.
For example, the US was instrumental in enacting the UN Single Convention on Narcotic Drugs, so a government that I don't get to vote for had a direct influence on the laws of my country (UK).
For example, the US was instrumental in enacting the UN Single Convention on Narcotic Drugs, so a government that I don't get to vote for had a direct influence on the laws of my country (UK).
If, for example, Asian and Middle Eastern countries influenced the law of this hypothetical world government in proportion to their population, then the UK might be compelled to execute violators of the drug laws you refer to.