干扰源对3人量子囚徒困境上策均衡预期收益的影响

The Effect on The Expected Payoff of Corrupted Three-player Quantum Prisoner's Dilemma

文章讨论了在量子囚徒困境中,当量子比特源受到一个干扰源的干扰时,简单的3人量子囚徒困境出现了量子优势的改变:高于干扰等级的临界值,相干量子效应就会妨碍参与者以至于最优选择由量子策略变成经典策略.从风险的观点来看,在各自采取上策均衡的情况下,量子博弈参与者有较大的潜力获利,但同时也有较大的潜力损失,这将导致参与者的瞬间获益具有较大的涨落,并因此承担较大的风险;而经典博弈参与者具有较小的获益涨落潜力,其承担的风险则较小.

The Prisoner＇s Dilemma plays a very important part in the game theory.It is related to economics,political science,sociology,philosophy,ethnics,etc.when study in such field quantized the Prisoner＇s Dilemma and found that the payoffs for the players are better than that in the classical game.Then,people developed the two-player Quantum Prisoner＇s Dilemma into multiplayer quantum game.Also,they found that the quantum game does better than classical game.But now,the quantum advantage arising in a simplified multiplayer quantum game is found to be disadvantage when the game＇s qubit source is corrupted.