  The seminal idea of quantum money not forgeable due to laws of Quantum
Mechanics proposed by Stephen Wiesner, has laid foundations for the Quantum
Information Theory in early '70s. Recently, several other schemes for quantum
currencies have been proposed, all however relying on the assumption that the
mint does not cooperate with the counterfeiter. Drawing inspirations from the
semi-device independent quantum key distribution protocol, we introduce the
first scheme of quantum money with this assumption partially relaxed, along
with the proof of its unforgeability. Significance of this protocol is
supported by an impossibility result, which we prove, stating that there is no
both fully device independent and secure money scheme. Finally, we formulate a
quantum analogue of the Oresme-Copernicus-Gresham's law of economy.
