Science Analysis Template
These are the structural patterns found across all Scientific Disciplines
Scientific models of interaction must not only be internally coherent but also compatible across strategic formulations, institutional descriptions, and empirical implementations. The domain spans non-cooperative and cooperative games, market models, mechanism design, matching, networks, and institutional rules. Compatibility requires that these components can be embedded within one unified descriptive system of interaction, such that changing viewpoint (game ↔ market, static ↔ dynamic, complete ↔ incomplete information, decentralized ↔ mechanism-based) does not fracture the theory into mutually incompatible sub-domains.
Key compatibility principles include:
Reduction to Established Limits (Correspondence Principle)
- New or enriched interaction models must reproduce well-established results in limiting cases where classical assumptions apply.
Games with incomplete information must reduce to complete-information games as uncertainty vanishes; strategic market models must converge to competitive equilibria as individual strategic power goes to zero; dynamic games must reduce to static interaction when timing and history are irrelevant. Mechanism-design results must collapse to standard market outcomes when incentives are neutralized and information is symmetric. If a refined interaction framework fails to recover these baseline results in the appropriate limits, it contradicts the models it claims to generalize.
Convergence and Consilience of Evidence / Models
- Different representations of interaction should converge on compatible conclusions when applied to the same institutional setting.
Game-theoretic models, market-clearing formulations, experimental economics, field data, and institutional analyses should not imply irreconcilable strategic behavior or outcomes for the same environment. Persistent disagreement across approaches—such as laboratory games, field markets, and theoretical equilibria—signals a compatibility problem that must be resolved through clarified assumptions, scope restrictions, or institutional detail. Robust interaction theory relies on cross-verification, where models and evidence from different approaches agree in overlapping domains.
Preservation of Key Invariants and Principles
- Fundamental invariants of interaction must be preserved across formulations and institutional translations.
These include feasibility (resources and allocations are physically possible), incentive compatibility (strategies align with payoffs and information), budget balance or conservation where applicable, and invariance to relabeling of players, strategies, or messages in symmetric settings. Equivalent representations of the same interaction—reparameterizing strategies, relabeling agents, or reformulating institutions—must not alter predicted outcomes unless an explicit symmetry-breaking feature is introduced. Preserving these invariants ensures that different strategic models remain compatible descriptions of the same interactional structure.
Internal Logical Consistency and Formal Rigor
- All components of the interaction framework must fit together as a single logically self-consistent system.
Strategic behavior, belief formation, information structures, institutional rules, and equilibrium concepts must not contradict one another or generate parallel descriptions of outcomes. A model cannot simultaneously assume price-taking behavior and strategic market power without reconciliation; it cannot invoke truthful reporting while also allowing profitable misrepresentation unless the mechanism explicitly enforces truthfulness. Compatibility at this level requires that interaction theory can be expressed as one coherent architecture of rules and incentives, rather than a patchwork of incompatible strategic stories.
These structural requirements—correspondence to established limits, convergence across models and evidence, preservation of key invariants, and strict logical coherence—define compatibility in the domain of interaction. They ensure that markets, games, and mechanisms are different views of the same underlying strategic reality, not disconnected theoretical constructs.