The Superiority of Quantum Strategy in 3-Player Prisoner’s Dilemma

Zhiyuan Dong and Ai-Guo Wu
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Zhiyuan Dong: School of Mechanical Engineering and Automation, Harbin Institute of Technology (Shenzhen), Shenzhen 150001, China
Ai-Guo Wu: School of Mechanical Engineering and Automation, Harbin Institute of Technology (Shenzhen), Shenzhen 150001, China

Mathematics, 2021, vol. 9, issue 12, 1-10

Abstract: In this paper, we extend the quantum game theory of Prisoner’s Dilemma to the N -player case. The final state of quantum game theory of N -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.

Keywords: quantum game theory; quantum entanglement; quantum strategy; Prisoner’s Dilemma (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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