Interaction Relation Clause Samples

Interaction Relation. Θ : A × A × T → {R ∞} is the interaction relation. Θ(αi, αj, ti) describes the cost for an agent αi to interact with (e.g. sense, observe, communicate with) some other agent αj at time ti ∈ T . Cost is a very general basis for an interaction relation. For example, a close interaction neighborhood for some agent can be defined as the set of agents with which communication is cheap relative to other agents. If cost is inversely related to probability of interaction over time, then Θ(·) describes agent-to-agent interaction frequencies, and can be used to model a type of frequency-weighted social network. In many MAPs the interaction relation is already specified as a graph, where the nodes are agents and the weighted edges reflect the probability with which the agents interact. This is easily represented in the DOA framework. Section 3.6.1 describes how to transform interaction relations to graphs and vice versa. The interaction relation is conditioned on time to capture changing topologies of interaction (cf. [▇▇▇▇▇▇- ▇▇▇▇▇ and ▇▇▇▇▇▇, 2004]).