A 3rd party votes subtracts one vote from Biden’s total vote count, so to say. Here is the 1M$ math equation you desire (assuming you would usually vote for Biden):
Definitions:
(I) VoteDifference = VotesTrump - VotesBiden
(II) VotesBiden1 = EveryoneElsesVotes + YourVote
(Scenario where you vote for Biden)
(III) VotesBiden2 = EveryoneElsesVotes
(Scenario where you vote for a 3rd party)
In scenario 2 (which is the one in which you vote for a 3rd party), the vote difference (which determines who won and by how much), is EQUIVALENT to one additional person voting for Trump. You’re welcome. I don’t even need the 1.000.000$.
A 3rd party votes subtracts one vote from Biden’s total vote count, so to say. Here is the 1M$ math equation you desire (assuming you would usually vote for Biden):
Definitions:
(I) VoteDifference = VotesTrump - VotesBiden
(II) VotesBiden1 = EveryoneElsesVotes + YourVote (Scenario where you vote for Biden)
(III) VotesBiden2 = EveryoneElsesVotes (Scenario where you vote for a 3rd party)
Calculations:
(II) VotesBiden1 = EveryoneElsesVotes + Yourvote =〉VotesBiden1 - YourVote = EveryoneElsesVotes (III) VotesBiden2 = EveryoneElsesVotes =〉VotesBiden1 - YourVote = VotesBiden2
(I) VoteDifference = VotesTrump - VotesBiden
VoteDifference1 = VotesTrump - VotesBiden1 VoteDifference2 = VotesTrump - VotesBiden2
=〉VoteDifference2 = VotesTrump - (VotesBiden1 - Yourvote) =〉VoteDifference2 = VotesTrump + YourVote - VotesBiden1 (!!!)
THUS WE CONCLUDE:
In scenario 2 (which is the one in which you vote for a 3rd party), the vote difference (which determines who won and by how much), is EQUIVALENT to one additional person voting for Trump. You’re welcome. I don’t even need the 1.000.000$.