Of course not, that's a false premise.

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$.