Toward a Standard Model of Participation: A Formal Framework for Entities, Relationships, Participation Decisions, and Relational Change

This paper develops the formal-theory layer of a broader Participation Governance research program. Participation Governance identifies Participation as an independent object of governance, while the Constitution of Relationship supplies the higher-order normative principles that participation must protect. The present paper integrates those foundations into a common formal structure for describing how an entity becomes present within a relationship, which forms of participation remain admissible, how one form is selected, what consequences follow, and how those consequences alter future participation. The proposed Standard Model of Participation consists of six core elements: Participation Entities, Relationship State, Admissible Participation Space, Participation Decision, Relationship Outcome, and Relationship Update. Their relationship is represented through the structural cycle: Rₜ → Ωₜ → Pₜ → Oₜ → Rₜ₊₁ A current Relationship State informs the set of constitutionally, legally, institutionally, and relationally admissible forms of participation. A multidimensional Participation Decision is selected from that space, relevant task and relationship outcomes are observed, and those outcomes update the conditions governing subsequent participation. The notation defines a typed conceptual and governance structure rather than a universal quantitative or predictive model. The framework does not claim to calculate one uniquely correct form of participation, assign fixed numerical weights to human values, or predict relational outcomes through a deterministic or probabilistic equation. Domain-specific implementations may operationalize its structures through rules, qualitative judgment, probabilistic estimation, learned policies, institutional procedures, human deliberation, or hybrid methods. A Participation Decision is represented as a typed record specifying Participation Mode, timing, role, relational distance, intervention intensity, authority, memory use, execution scope, Human Return conditions, and explanation requirements. The framework adopts constraint-first governance: participation that violates constitutional protections, legitimate authority, human boundaries, safety requirements, or mandatory Human Return conditions is excluded before comparative selection rather than merely receiving a lower score. Among the remaining alternatives, participation is evaluated through plural and potentially non-commensurable considerations, including adequacy, agency retention, trust calibration, boundary respect, learning, dependency, question continuity, relational burden, reversibility, safety, correctability, and future possibility. The paper further proposes Minimum Necessary Participation: among sufficiently adequate and admissible alternatives, the less intrusive, more reversible, and less authority-intensive form should ordinarily be preferred. This is presented as a rebuttable normative principle rather than a universal empirical law; adequacy must precede minimization. The same formal structure may be used to analyze human–AI, AI–AI, human–human, organizational, institutional, and multi-agent participation. This shared analytical structure does not imply equal moral status, legal standing, authority, legitimacy, rights, or responsibility among different kinds of entities. The paper also distinguishes the Standard Model of Participation from the Relationship Runtime. The Standard Model defines the formal structure of Participation; the Relationship Runtime operationalizes that structure in deployed systems. Participation Decision Traceability subsequently provides the evidentiary infrastructure through which particular Participation Decisions can be reconstructed, explained, audited, contested, and corrected. The phrase “Toward a Standard Model” is deliberate. This paper does not claim that a completed, universally accepted, or empirically validated model has already been achieved. It proposes a formal research program for making Participation identifiable, comparable, implementable, empirically testable, explainable, contestable, and revisable as intelligent systems become increasingly present in human life.