Quadratic vs Token-Weighted DAO Voting

Voting Mechanism

Token Distribution

Whale concentration 2.2

Grassroots turnout supporting 55%

Quorum required 40%

Proposal Outcome

—

FOR 0%AGAINST 0%

Top-3 voting power

Turnout weight

How it works

Every voter i holds a token balance t_i, drawn from a power-law distribution controlled by the whale-concentration exponent γ: t_i = 1 / rank_i^γ. A higher γ concentrates more tokens in the top few "whale" wallets.

Token-weighted:  voting weight w_i = t_i        (1 token = 1 vote)
Quadratic:       voting weight w_i = sqrt(t_i)  (cost of v votes = v^2 voice credits,
                                                  so a budget of t_i buys sqrt(t_i) votes)

Each voter casts FOR or AGAINST. Grassroots (non-whale) voters support the proposal with the probability set by the turnout slider; the top-3 whales vote as a bloc in the direction you choose, letting you stage a plutocratic-capture scenario on demand.

Passed  iff  Σ w_i(FOR) > Σ w_i(AGAINST)
             AND  (Σ w_i(FOR) + Σ w_i(AGAINST)) / Σ w_i(all)  ≥  quorum

Because square-root compresses large balances far more than small ones, quadratic voting shrinks the whales' relative power and lets a large grassroots majority overturn a whale bloc that would win under simple token-weighted voting — this is the core argument for quadratic voting in real DAO governance (Gitcoin, Compound-style proposals).

Voted FOR Voted AGAINST Top-3 whales

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