It is a bout 30 years since the advent of quantum information and quantum computiation theory , in which promising improvements could be acheived. In this project we tried to expand our knowlege to the field. Game Theory is one of the important tools in all sciences in which we expanded Games to their quantum ones where they have a lot of advantage versus classical in some points like increasing payoff and expanding to most of sterategy, it means a quantum game can select sterategy more than a classic one. In the end , we have simulated our results with Quantum Computer IBM 5 Qubit
