arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.04897cs.GTmath.OC
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一种针对任务委派问题的博弈论方法

A Game-Theoretic Approach to a Task Delegation Problem

Donya G. Dobakhshari, Lav R. Varshney, Vijay Gupta

AI总结:

针对任务委派中智能体私有优先级序列导致的信息不对称问题,提出含拍卖选任与按实际执行序列奖励的博弈论机制,证明其满足个体理性与激励相容,在线性调整成本下可实现社会最优。

摘要:

我们研究了如下场景:委托人选择一名智能体,使其按照指定的优先级序列执行一组任务。然而,智能体各自拥有希望遵循的任务执行优先级序列。由于每个优先级序列都是对应智能体的私有信息,因此存在信息不对称问题。我们设计了一种机制,用于选择智能体并激励被选中的智能体采用能实现社会最优性能的优先级序列执行任务。我们提出的机制包含两部分:首先,委托人开展拍卖,选择声明的优先级序列偏差最小的智能体来分配任务;随后,委托人根据任务实际执行时采用的优先级序列向智能体发放报酬。我们证明,该机制满足个体理性和激励相容特性;此外,在智能体调整优先级序列的成本为线性的情况下,该机制还能实现社会最优。

英文摘要:

We study a setting in which a principal selects an agent to execute a collection of tasks according to a specified priority sequence. Agents, however, have their own individual priority sequences according to which they wish to execute the tasks. There is information asymmetry since each priority sequence is private knowledge for the individual agent. We design a mechanism for selecting the agent and incentivizing the selected agent to realize a priority sequence for executing the tasks that achieves socially optimal performance. Our proposed mechanism consists of two parts. First, the principal runs an auction to select an agent to allocate tasks to with minimum declared priority sequence misalignment. Then, the principal rewards the agent according to the realized priority sequence with which the tasks were performed. We show that the proposed mechanism is individually rational and incentive compatible. Further, it is also socially optimal for the case of linear cost of priority sequence modification for the agents.

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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