If we reach a point where three candidates are in the running for President, and the third-party guy is able to swing a couple of states....denying the other two of the 270 Electoral College votes?
Well....the 'system' is that as the House convenes in early January of 2025....the House of Representatives would open up and group by state delegates....to elect the President from the three Presidential candidates who received the most electoral votes.
Each state delegation would have ONE vote.
If the state had four Republicans and four Democrats? Well....it'd be a zero vote unless someone crossed the line.
If the state got into a highly delayed status for six of it's Republican House members....unable to certify they 'won'? In this scenario, lets assume that four Democrats were on the other side, and were approved to proceed. Unless the House stepped in...to half voting, that state would be a Democratic-win (4-0, instead of 6-4 for the Republicans).
I should note here....DC has no vote.
The winner of this House-race? You'd have to have 26 votes.
Lets assume that three states have a 2-2 or 3-3 situation, where they can't reach an end. It's possible that you might go through two or three elections per day....for several days....where the magic number of 26 cannot be reached.
Meanwhile, the VP race? It goes to the Senate.....where each Senator gets ONE vote. The guy/gal who gets 51? Winner. Also note here....they only get to pick the top two with Electoral votes.....not three.
The fact that some Republican Senators might cross the line and vote for the Democratic candidate? Yeah, that's a pretty likely possibility.
If the House fails by Inauguration Day? Well....the scenario gets interesting....the VP (you would assume this is a easy one-day vote)....would go to the status of 'acting' President, until the House can finish its vote. This being a week or a month of status? Yeah, and you can imagine how heated things would be with this scenario.
If RFK were the 3rd party guy? This is an odd scenario to imagine.
Would some small group of states compromise...to deny both Trump and Biden....making it a failure to reach 26? Probably so.
If we reached no solution by Inauguration Day....would the VP list his/her choices for a cabinet....to go into an approval process by the Senate? More than likely. If a Supreme Court member died and needed a nomination process....would the VP go to select someone?
Would House members go to a bribe system and demand some 'gift' to vote along his party lines? I could imagine that occurring.
Could you end up with Biden winning but stuck with a Republican VP....like Lake from AZ? Yeah, and that would torment Biden a good bit.
For some reason....I'd go and suggest you better prepare for a failure of the Electoral College and 270-vote situation. If you thought things were bad now.....it'll be a full-up circus with my scenario.