Hierarchical Noncooperative Systems With Dynamic Agents Under Intra-group and Inter-group Incentives

Hierarchical Noncooperative Systems With Dynamic Agents Under Intra-group and Inter-group Incentives
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群内和群间激励下具有动态代理的分层非合作系统

DOI:
10.1109/cdc45484.2021.9683041
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发表时间:
2021
期刊:
2021 60th IEEE Conference on Decision and Control (CDC)
影响因子:
--
通讯作者:
T. Hayakawa
T. Hayakawa
中科院分区:
--
文献类型:
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作者:
Yuyue Yan;T. Hayakawa

文献摘要

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提出了一个具有动态代理的层次非合作系统的框架。在特征化的框架中,每个组中的代理人由相应的组经理激励,该组经理通过组内激励机制代表组效用的利益。本文将组内激励函数中的系数刻画为组经理的策略。提出了基于局部信息的群管理者可采用的更新规则,并对其他群的代理状态进行连续和间歇的观察。对于所提出的更新规则,给出了智能体状态轨迹收敛于群体纳什均衡的充分条件。另一方面,为了提高整个系统的社会福利,我们提出了一个组间的激励计划,在组经理层的系统管理者,使代理人的状态,以一个目标均衡。针对系统管理者对代理人个人支付函数的不确定性信息,给出了保证代理人状态收敛到目标均衡的充分条件。一个数值例子来说明我们的结果的有效性。
A framework for hierarchical noncooperative systems with dynamic agents is proposed. In the characterized framework, agents in each group are incentivized by a corresponding group manager who represents the benefits of group utility via an intra-group incentive mechanism. The coefficients in intra-group incentive functions are characterized as the group manager’s strategy in this paper. The update rules that can be adopted by the group managers are proposed based on local information with continual and intermittent observation on the state of the agents from the other groups. Sufficient conditions under which the trajectory of agents’ state converges towards the group Nash equilibrium are derived for the proposed update rules. On the other hand, to improve the social welfare of the entire system, we propose an inter-group incentive scheme in the group managers level for a system governor to bring agents’ state to a target equilibrium. To deal with the uncertain information on agents’ personal payoff functions for the system governor, we present sufficient conditions to guarantee the convergence of agents’ state to the target equilibrium. A numerical example is provided to illustrate the efficacy of our results.