Existence of Team-Optimal Strategies in Teams With Countable Observation Spaces

• 成果类型: Article
• 署名作者: Gupta, Abhishek
• 署名单位: University System of Ohio; Ohio State University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3037047
• 发表日期: 2021
• 页码: 4792-4798
• 关键词: Cost function; virtual groups; Aerospace electronics; TOPOLOGY; Extraterrestrial measurements; actuators; probability distribution; Multi-agent systems; stochastic optimization

摘要

Team problems, in which multiple agents act to minimize a common expected cost function, are generally intractable. The problem of establishing the existence of team-optimal strategies has received significant attention in the past decade. In this article, we present a proof of the existence of team-optimal strategies in a class of teams in which observations are realized in a countable set and are shared among the agents and the action sets are noncompact. We derive sufficient conditions under which optimal deterministic strategies exist.