Switzerland doesn’t have a minimum wage either, but the problems aren’t as dire (yet). Several cantons have however now introduced minimum wages and these are inflation adjusted, so a lot more future proof. Also they don’t need to be renegotiated again and again as the law doesn’t expire. I only see them disappear if we get a nationwide solution that replaces the local ones. But I agree with you: They are now set by the legislature and arbitrary and they should be informed with NGO data.

Any minimum wage should be pegged to a cost of living index.