الفهرس 
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Abstract
Some basic aspects of game theory, quantum mechanics and quantum information theory are reviewed. Quantum game theory is the application of some concepts of quantum information theory to the game theory. Two basic quantisation schemes are presented. Applications to both classes of games (Cooperative and Non-cooperative) are given.
We have modified the quantisation scheme of the symmetric cooperative game. The concept of a harmonious coalition is introduced. Our scheme has been found to conserve the features of the cooperative game. Also, the crucial roles of both the entanglement and the initial state itself are investigated.
The effect of the entanglement on the behavior of the quantum Prisoner’s Dilemma game is studied in detail. We have extended the investigation to cover the whole range of entanglement, to study the symmetry of the quantum Prisoner’s Dilemma game with respect to the entanglement.
We have come to the following conclusions:
1. Developing the game theory can cause achievements in biology, economics and social sciences.
2. The concepts of quantum mechanics are very important and have been applied to many scientific areas.
3. Quantum mechanics expands the strategy space to a Hilbert space of strategies. Also, discovering new strategy is allowed.
4. Quantisation of games helps in solving some classical game theory dilemmas.
5. Entanglement plays an important role in quantum games.
6. Correlations between players are allowed in quantum games, and can be interpreted through the concept of entanglement.
7. The initial state plays a crucial role in quantum game theory. We
interpret the initial quantum state as a social contract that arranges the
relations between players in quantum games.
8. An intrinsic weakness of quantum games is the huge increase of complications as the number of strategies or the number of players increase.