Abstract The intractability in cooperative, decentralized control models is mainly due to prohibitive memory requirements in both optimal policies and value functions. The complexity analysis has emerged as the standard method to estimating the memory needed for solving a given computational problem, but complexity results may be somewhat limited. This paper introduces a general methodology— structural analysis—for the design of optimalitypreserving concise policies and value functions, which will eventually lead to the development of efficient theory and algorithms. For the first time, we show that memory requirements for policies and value functions may be asymmetric, resulting in cooperative, decentralized control models with exponential reductions in memory requirements.