  A rational secret sharing scheme is a game in which each party responsible
for reconstructing a secret tries to maximize his utility by obtaining the
secret alone. Quantum secret sharing schemes, either derived from quantum
teleportation or from quantum error correcting code, do not succeed when we
assume rational participants. This is because all existing quantum secret
sharing schemes consider that the secret is reconstructed by a party chosen by
the dealer. In this paper, for the first time, we propose a quantum secret
sharing scheme which is resistant to rational parties. The proposed scheme is
fair (everyone gets the secret), correct and achieves strict Nash equilibrium.

Quantum Physics;Cryptography and Security