I posted this post apparently nine days ago and the way my mind works is it brews ideas below the surface and then they pop up fully formed.
Countries need families. Countries need stable family units. Countries need babies. People aren't doing this enough because whippersnappers on their iBooks etc. The problem is real.
What if the state has a registry of single people, and invites about 100 of them – matched for age and other basic compatibility factors – to the same event on one night. They do speed-dating, get through 50 people in a night, 2-3 minutes per person. Then they give the thumbs-up or thumbs-down to each person.
At the end of the night, people will have an average of at least a few (maybe 2-3, pessimistically) potential matches. But do it every Saturday of the summer, and you have 40+
And then they follow up with a long-form date. Not sure if that's also state-run, I'll need to check the budget.
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I think this is the way. People will work things out if they find each other attractive. The problem is that there's nothing to do and nowhere to go. Skip the dating event and just create some kind of gigantic fun event and invite shit ton of single people to it instead of doing the "feel like you're being interviewed at gunpoint" thing.