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多样性使得旅行者困境向合作转变。

Diversity enables the jump towards cooperation for the Traveler's Dilemma.

机构信息

Max Planck Institute for Evolutionary Biology, Plön, 24306, Germany.

Max Planck Institute for Mathematics in the Sciences, Leipzig, 04103, Germany.

出版信息

Sci Rep. 2023 Jan 25;13(1):1441. doi: 10.1038/s41598-023-28600-5.

Abstract

Social dilemmas are situations in which collective welfare is at odds with individual gain. One widely studied example, due to the conflict it poses between human behaviour and game theoretic reasoning, is the Traveler's Dilemma. The dilemma relies on the players' incentive to undercut their opponent at the expense of losing a collective high payoff. Such individual incentive leads players to a systematic mutual undercutting until the lowest possible payoff is reached, which is the game's unique Nash equilibrium. However, if players were satisfied with a high payoff -that is not necessarily higher than their opponent's- they would both be better off individually and collectively. Here, we explain how it is possible to converge to this cooperative high payoff equilibrium. Our analysis focuses on decomposing the dilemma into a local and a global game. We show that players need to escape the local maximisation and jump to the global game, in order to reach the cooperative equilibrium. Using a dynamic approach, based on evolutionary game theory and learning theory models, we find that diversity, understood as the presence of suboptimal strategies, is the general mechanism that enables the jump towards cooperation.

摘要

社会困境是指集体福利与个人利益相冲突的情况。旅行者困境是一个广泛研究的例子,因为它在人类行为和博弈论推理之间存在冲突。这个困境依赖于参与者通过牺牲集体高收益来削弱对手的动机。这种个人动机导致玩家系统地相互削弱,直到达到最低可能的收益,这是游戏的独特纳什均衡。然而,如果玩家满足于高收益——不一定比他们的对手高——他们个人和集体都会更好。在这里,我们解释如何能够收敛到这种合作的高收益均衡。我们的分析侧重于将困境分解为局部和全局游戏。我们表明,玩家需要摆脱局部最大化,跳跃到全局游戏,以达到合作均衡。我们使用基于进化博弈论和学习理论模型的动态方法,发现多样性(理解为存在次优策略)是促使合作的普遍机制。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09aa/9876901/2140906e466d/41598_2023_28600_Fig1_HTML.jpg

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