2. Constant Parameter (CC)
Definition: Represents the baseline relational tone or initial disposition (e.g., cultural default, first impression).
Behavior: Adjusts once at initialization and acts as a normalizing anchor.
Usage: Can reflect institutional trust, social scripts, or personal predispositions toward openness or skepticism.
Each of these variables can be normalized within a standardized range (e.g., [-1, 1] or [0, 1]), and their contributions are modulated by empirically derived or contextually assigned weights wkw_k, reflecting domain sensitivity (e.g., business, trauma, diplomacy). Collectively, they form the core of the Relational Scoring Function:
Rij(t)=k=1nwkVk,ij(t)+CR_{ij}(t) = \sum_{k=1}^n w_k \cdot V_{k,ij}(t) + C
Where:
Rij(t)R_{ij}(t): Relational score from agent ii to agent jj at time tt
Vk,ij(t)V_{k,ij}(t): Value of variable kk between agents ii and jj at time tt
wkw_k: Weight assigned to each variable kk
CC: Constant baseline offset
This formulation enables real-time recalibration of relational zones and supports agent-based simulations, AI-assisted trust modeling, and dynamic feedback systems for social coaching and leadership platforms.
Appendix B. Sample Calculations
To demonstrate the practical application of the Relational Scoring Function and the Zone Classification System, we provide several sample calculations that illustrate how the variables interact under weighted contributions over time. These samples simulate relational dynamics across distinct contexts using hypothetical data.
1. Relational Scoring Function Overview
The model calculates the evolving score of a dyadic relationship at time tt, denoted:
Rij(t)=k=1nwkVk,ij(t)+CR_{ij}(t) = \sum_{k=1}^n w_k \cdot V_{k,ij}(t) + C
