Dividing stake across multiple accounts does not increase your chance of winning lotteries or increase the weight of your stake.
This is a claim without any supporting argument, reference, or evidence. Please try, at least a little, to support your claim.
The discussion on page 28 of the white paper [https://arxiv.org/pdf/1607.01341.pdf] seems to say very clearly that the number of users (not the size of their stake) matters a great deal:
“A careful, Markov-chain-like analysis shows that, no matter what options the Adversary chooses
to make at round r −1, as long as he cannot inject new users in the system, he cannot decrease the
probability of an honest user to be the leader of round r + 40 much below h. This is the reason for
which we demand that the potential leaders of round r are users already existing in round r − k.”
My attack proposal was simply that moles may lay hidden for much longer than k rounds, acting benignly until cued (or having their account compromised) only much later.