Quantum Game: an Overview

Quantum game is a hot spot in the research of game theory, which has been widely used in many fields, such as sociology, politics, and ecology and so on. This paper focuses on the development and application of quantum game, refining its key research content, aiming to lay the foundation for future research. Firstly, the development and research status of quantum game theory are introduced, and the differences between quantum game and classical game theory are compared, and the advantages of quantum game are summarized. Secondly, this paper overviews, analysis and summaries the quantum game from the origin of quantum game, the "prisoner's dilemma" in quantum game applications, quantum entanglement of peculiar nature, experiments related to the quantum game, and multi-player quantum game to game of continuous variable quantification. At last, it summarizes the research and application of quantum game in different fields. Through the research and application of quantum game, we can lay the foundation for the further research and application field of quantum game.