A New Trust Chain Model

Trust is generally based on the level and quality of interaction with the entity being trusted. In a web service or the Internet, trust is based on the level of successful and unsuccessful interactions. Successful interactions are used to model trust within the context of chains of trust in which an agent is permitted to recommend a service. This is termed trust chain since the agent need to first interact with the service and also next with the requestor of the service. Five trust theorems are proposed and used in four types or instances of interactions modelled and simulated. It is shown that for trust to grow, the length of interaction time need to approach infinity and hence, trust could never be absolute in practical terms. Trust tends towards or asymptotes to an absolute trust but over a very long time.