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The Superiority of Quantum Strategy in 3-Player Prisoner’s Dilemma
oleh: Zhiyuan Dong, Ai-Guo Wu
Format: | Article |
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Diterbitkan: | MDPI AG 2021-06-01 |
Deskripsi
In this paper, we extend the quantum game theory of Prisoner’s Dilemma to the <i>N</i>-player case. The final state of quantum game theory of <i>N</i>-player Prisoner’s Dilemma is derived, which can be used to investigate the payoff of each player. As demonstration, two cases (2-player and 3-player) are studied to illustrate the superiority of quantum strategy in the game theory. Specifically, the non-unique entanglement parameter is found to maximize the total payoff, which oscillates periodically. Finally, the optimal strategic set is proved to depend on the selection of initial states.