We propose a new solution for discrete exchange economies and resource-allocation problems, the exclusion core. The exclusion core rests upon a foundational idea in the legal understanding of property, the right to exclude others. By reinterpreting endowments as a distribution of exclusion rights, rather than as bundles of goods, our analysis extends to economies with qualified property rights, joint ownership, social hierarchies, and production. The exclusion core is characterized by a generalized top trading cycle algorithm in a large class of economies, including those featuring private, public, and mixed ownership. It is neither weaker nor stronger than the strong core.
Balbuzanov, Ivan, and Maciej Kotowski. "Endowments, Exclusion, and Exchange." HKS Faculty Research Working Paper Series RWP17-016, March 2017 (Updated September 2018).