On the international scene, away from national legal rules, the use of diff
erent currencies is largely due to the operation of the "Invisible Hand". T
he paper develops a three-country model of the world economy. This links re
al trade patterns with currency exchange structures in a general equilibriu
m framework which includes transaction costs on foreign exchange markets. I
n the presence of strategic complementarities, there are multiple equilibri
um structures of currency exchange for a given underlying real trade patter
n. The existence conditions of these different equilibria are characterized
. using the trade links between countries as the key parameters. Finally, r
epercussions on world output of the choice of a currency exchange structure
are analysed.