Task-Based Information Compression for Multi-Agent Communication Problems with Channel Rate Constraints

{We investigate the communications design in a multiagent system (MAS) in which agents cooperate to maximize the averaged sum of discounted one-stage rewards of a collaborative task. Due to the limited communication rate between the agents, each agent should efficiently represent its local observation and communicate an abstract version of the observations to improve the collaborative task performance. We first show that this problem is equivalent to a form of rate-distortion problem which we call task-based information compression (TBIC). We then introduce the state-aggregation for information compression algorithm (SAIC) to solve the formulated TBIC problem. It is shown that SAIC is able to achieve near-optimal performance in terms of the achieved sum of discounted rewards. The proposed algorithm is applied to a rendezvous problem and its performance is compared with several benchmarks. Numerical experiments confirm the superiority of the proposed algorithm.