Guiding Multiagent Multitask Reinforcement Learning by a Hierarchical Framework With Logical Reward Shaping

Multiagent hierarchical reinforcement learning (MAHRL) has been studied as an effective means to solve intelligent decision problems in complex and large-scale environments. However, most current MAHRL algorithms follow the traditional way of using reward functions in reinforcement learning (RL), which limits their use to a single task. This study aims to design a multiagent cooperative algorithm with logic reward shaping (LRS), which uses a more flexible way of setting the rewards, allowing for the effective completion of multitasks. LRS uses linear-time temporal logic (LTL) to express the internal logic relation of subtasks within a complex task. Then, it evaluates whether the subformulas of the LTL expressions are satisfied based on a designed reward structure. This helps agents to learn to effectively complete tasks by adhering to the LTL expressions, thus enhancing the interpretability and credibility of their decisions. To enhance coordination and cooperation among multiple agents, a value iteration technique is designed to evaluate the actions taken by each agent. Based on this evaluation, a reward function is shaped for coordination, which enables each agent to evaluate its status and complete the remaining subtasks through experiential learning. Experiments have been conducted on various types of tasks in the Minecraft World and Office World. The results demonstrate that the proposed algorithm can improve the performance of multiagents when learning to complete multitasks.