Measures the likelihood that agent i interacts with agent j in the context k, based on history, incentives, proximity, or shared zones.
Influenced by prior trust, zone memory, or anticipated strategic moves
Allows modeling of intermittent, stochastic relationships as opposed to fixed, repeated plays
3. Structure of Interaction (S)
Defines the topology of relationships: hierarchical, reciprocal, modular, decentralized, or fluid.
Key for analyzing informal markets, platform economies, or cooperative networks
Structural shifts (e.g., centrality collapse, clustering) may trigger zone realignments or instability
4. Weight of Interaction (W)
Assigns significance or strength to a relational link based on material stakes, emotional investment, or symbolic value.
Distinguishes between transactional and transformational relationships
Can be time-variant, context-sensitive, or recursive (e.g., trust building increases future weights)
5. Stability of Interaction (St)
Captures resilience or volatility of a relational bond across disturbances --- such as strategic shocks, betrayal, or policy change.
Strongly correlated with zone durability and long-term investment orientation
Stability metrics enable forecasts of relational breakdown or convergence toward higher zones
6. Output of Interaction (O)
The emergent economic, strategic, or social outcomes from an interaction --- not only in terms of payoff, but also:
Zone migration (e.g., Green Yellow Clear)
Reputational shifts or collective learning
Behavioral synchronization (emergence of norms, rituals, shared mental models)
Mathematical Representation (Multi-Agent Interaction Function):
