Nondominium is a new form of property or ownership applied to a resource, where the resource owns itself or it is not owned by anyone but anyone has access to it, based on a predefined set of rules.
The Bitcoin Network is a great example, no one can own (in the traditional sense of the word) it. In fact, it is impossible to apply private property to the entire network. It is also important to note that there are no mechanisms to gain possession of the network without destroying the network. Also, private property operates within the network: minors own their computers. But no independent minor can offer the Bitcoin service. The Bitcoin service is an emergent property of multiple minors sharing the same protocol. This emergent feature is a nondominium type of property.
In another possible implementation, nondominium is a legal framework whereby all ownership rights in a resources are transferred to a Custodian established for that purpose. The Custodian acts in accordance with the Custodian Agreement, which is comprised of a Charter to return a subset of the use rights to the individuals based on a predefined set of rules. This set of rules can be embodied as a benefits distribution algorithm, which provides access to nondominium resources based on merit, which is computed in real time based on past contributions or involvement in a project or venture.