Andre:
"the names in the book of life and the names in the book of death got there based on decisions taken in respect to accepting the gift of salvation, not because of election."
GE:
(My sight is getting worse, so I must enlarge the print before I can answer.)
But let me first give the Scripture - Rv20:12 - that explains my previous answer made with reference to Rv13:8, more directly,
"I saw the dead ... stand before God; and the books were opened. And ANOTHER book was opened - which is the Book of Life. And the dead were judged out of those things which were written in the books (of judgment), according to their works."
The books of judgment to me seems clearly, to be the books of the Law. Any who might try to redeem themselves with works of the Law, are judged by it and found too light. The Law identifies these, "to their works".
Rv18: "They that dwell on the earth .... whose names were not written in the Book of Life from the foundation of the world."
By the same principle, the names of both the wicked or lost and the saints or saved, were written in a, book, either in the Book of Life, or, in the 'other' books, BEFORE (or "from"), "the beginning of the world".
This directly is contradicted by your assertion above, "the names in the book of life and the names in the book of death got there based on decisions taken in respect to accepting the gift of salvation, not because of election."
You make the entries after "the beginning of the world", and during the life, of each individual.