公共物品博弈的一种实用量子机制
A Practical Quantum Mechanism for the Public Goods Game
摘要:
传统游戏的量子概括扩大了可用策略的范围,这可以帮助改善参与者的结果。对于许多参与者,这种量子游戏可能涉及许多状态之间的纠缠,这很难实现,特别是如果状态必须在一定距离上进行通信。本文描述了一种量子机制的经济意义$n$的球员公共产品的游戏,只需要两个粒子纠缠,因此更容易实现比更一般的量子机制。尽管在这个游戏中,人们很容易搭别人的便车,但当玩家使用简单的混合策略时,两粒子纠缠足以给出接近最优的预期收益,因为没有玩家可以通过做出不同的选择而受益。这种机制还可以解决参与者之间的一些异质偏好。
英文摘要:
Quantum generalizations of conventional games broaden the range of available strategies, which can help improve outcomes for the participants. With many players, such quantum games can involve entanglement among many states which is difficult to implement, especially if the states must be communicated over some distance. This paper describes a quantum mechanism for the economically significant $n$-player public goods game that requires only two-particle entanglement and is thus much easier to implement than more general quantum mechanisms. In spite of the large temptation to free ride on the efforts of others in this game, two-particle entanglement is sufficient to give near optimal expected payoff when players use a simple mixed strategy for which no player can benefit by making different choices. This mechanism can also address some heterogeneous preferences among the players.
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