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arXiv 2407.11250cs.GTcs.MA
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两策略种群博弈中利他悖反的条件

Conditions for Altruistic Perversity in Two-Strategy Population Games

Colton Hill, Philip N. Brown, Keith Paarporn

AI总结:

本文研究两策略种群博弈中利他智能体导致更差社会结果的“利他悖反”现象,发现其必要条件为福利函数凸且利他种群足够大。

摘要:

个体的自利行为在集体层面可能导致不良社会结果。这些结果看似可以通过利他智能体的行为得到改善,因为利他智能体有益于系统中的其他智能体。然而,在特定情境下已知利他智能体实际上可能诱发比完全自私种群更差的结果——我们将这一现象称为利他悖反。本文对引发利他悖反的必要条件进行了整体性研究。具体而言,我们研究一类两策略种群博弈,其中一个子种群是利他的,另一个是自私的。我们发现,仅当相关的社会福利函数是凸的且利他种群足够大时,种群博弈才可能允许利他悖反出现。我们的结果是建立名义智能体交互性质与利他行为潜在影响之间联系的第一步。

英文摘要:

Self-interested behavior from individuals can collectively lead to poor societal outcomes. These outcomes can seemingly be improved through the actions of altruistic agents, which benefit other agents in the system. However, it is known in specific contexts that altruistic agents can actually induce worse outcomes compared to a fully selfish population -- a phenomenon we term altruistic perversity. This paper provides a holistic investigation into the necessary conditions that give rise to altruistic perversity. In particular, we study the class of two-strategy population games where one sub-population is altruistic and the other is selfish. We find that a population game can admit altruistic perversity only if the associated social welfare function is convex and the altruistic population is sufficiently large. Our results are a first step in establishing a connection between properties of nominal agent interactions and the potential impacts from altruistic behaviors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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