{ Math

Surplus split

Half to you, 30% to the solver, 20% burned as $DOME.

Surplus is everything the fill beats the signed min-out by. It is not a hidden fee. It is split in the open: half to the signer, three tenths to the solver, a fifth to buy and burn $DOME.

You50%

Solver30%

Burn $DOME20%

//R.03 Surplus split — 50 you / 30 solver / 20 burn

Definition

S = max( 0 , q_out − q_min )

(8.1)

π_u =12 S π_v =310 S π_b =15 S

(8.2)

The three shares add to one. Nothing is leftover for a side wallet.

π_u + π_v + π_b = S

(8.3)

Surplus laboratory

Signed min-out 1420 DOME. Drag the fill.

Executed out · 1480 DOME

1420146015001540

Surplus S

60.0

You · ½

30.0

Solver · 3/10

18.0

Burn · 1/5

12.0

Burn

H_t+1 = H_t −π_bp_DOME

(8.4)

Volume in the dome is what reduces supply. A quiet dome burns nothing. A busy dome tightens the bond.