Investigations On Multiplayer Quantum Games With Continuous-variable Strategies

We first introduce the concept of game theory. Then we explain how to combine the game theory and quantum mechanics by giving some important examples. After these preparation we investigate the multiplayer quantum games. In this paper, based on the extended case of the Cournot's duopoly, we study a three firms case in which the different entanglement could vary arbitrarily. Some interesting features are demonstrated from an analytical formation proposed by us. Furthermore, we find that the quantum entanglement could make the firms cooperate rather than confront which was performed in classical game. This conclusion is suitable for arbitrary number of firms.