Middlemen carry the market to equilibrium: start at the no-trade wall, then drag the cost wedge tighter Sam’s gain Joe’s gain the arranging costs 0.20.4 0.60.8 1.01.2 1.41.6 1.8 0.20.4 0.60.8 1.01.2 1.41.6 1.8 Granola bars per bottle 010 2030 40 4030 2010 0 Sam → ← Joe Bottles of water — 40 in all with free trading, 30 bottles move Sam’s personal worth Joe’s personal worth 1.00 · Sam’s full price 0.20 · Joe’s net Costs 0.80 a bottle: 0 bottles trade · each side gains 0.00 bars · 0.00 bars go to arranging The cost of arranging swallows the whole worth gap — no one trades; both men sit at 20 bottles Start where costs are so high that no one trades. Drag the wedge tighter — cheaper and cheaper middlemen — and watch trade carry both men toward the crossing (arrow keys work too). Try 0.40, then 0.20, then zero.