Quantum Mechanism Helps Agents Combat with 'Bad' Social Choice Rules

Quantum strategies have been successfully applied in game theory for years. However, as a reverse problem of game theory, the theory of mechanism design is ignored by physicists. In this paper, we generalize the classical theory of mechanism design to a quantum domain. The main result is that by virtue of quantum mechanism, agents who satisfy a certain condition can combat with 'bad' social choice rules instead of being restricted by the traditional mechanism design theory.