What is the semantics of the jpd in a MSBN?
Due to the way the jpd of a MSBN is defined, there exists a unique jpd [Xiang, AIJ96] such that
- its marginalization to each subnet is identical to the distribution of the subnet;
- adjacent subnets are conditionally independent given their interface.
Implication: If agents are (1) cooperative, (2) independent conditioned on interface, and (3) initially consistent, then the jpd of the MSBN represents a unique collective belief
- identical to each agent's belief within its subdomain,
- and supplemental to its belief outside its subdomain.