In Aggregation & Dynamics, properties describe the attributes of system-level entities such as aggregates, distributions, structural parameters, and state variables. Because the system itself—not individual agents—is the fundamental object of analysis, properties must reflect qualities of the whole: growth rates, adjustment speeds, elasticities, frictions, propagation strengths, and stability characteristics. These properties determine how the system evolves through time, how shocks move across sectors or aggregates, and how long-run trajectories form.
Clarifying system-level properties is crucial because they define the dynamic capacities of the domain. Properties determine which states are stable, which transitions are rapid or slow, and which patterns emerge from structural relationships. They allow researchers to construct quantitative models, describe equilibrium paths, and test how changes in one part of the system affect the rest. Properly identifying properties at this scale prevents explanations from slipping downward into individual behavior or sideways into strategic patterns among agents.
Science Analysis Template
These are the structural patterns found across all Scientific Disciplines
This table lays out every property relevant to the Aggregation & Dynamics domain, organized into the seven universal property categories. Each row specifies a system-level property, defines what it means for an aggregate or macro-state variable, explains the role it plays in system evolution, shows how it is represented formally, and states why it belongs at this scale. Magnitude, Structure, Dynamics, Constraint, Information, and Evaluation here describe properties of the system itself, not of individual agents or strategic relationships. The Interaction category is empty because Aggregation does not model inter-agent influence; only system-level couplings and mechanisms matter.
This is the complete property set for modeling macro-scale, system-driven behavior.
| Property Category | Property | Definition / Meaning | Functional Role in Choice | How It Is Measured or Represented | Ontological Status (why it belongs) |
|---|---|---|---|---|---|
| Magnitude | Aggregate quantity levels | Total or average system amounts (output, population, capital) | Describe system condition at a given moment | Scalars, aggregate indices | System-level “how much” descriptors |
| Magnitude | Flow magnitudes | Rates of movement (production, consumption, migration, investment) | Capture system throughput and transitions | Flow equations, vector fields | Core quantitative descriptors of system activity |
| Magnitude | Distribution magnitudes | Measures describing spread or composition (inequality, sector shares) | Identify system heterogeneity that affects dynamics | Distribution functions, percentiles, Gini coefficients | The system’s internal composition matters for evolution |
| Structure | System architecture | Arrangement of sectors, nodes, or aggregate components | Determines propagation pathways and constraints | Network structures, input–output matrices | Defines the macro-structure that shapes all dynamics |
| Structure | State-space configuration | The geometric layout of macro-state variables | Determines feasible states and trajectories | State-space diagrams, manifolds | Defines the shape of possible system evolution |
| Structure | Propagation topology | How shocks or changes spread through the system | Guides contagion, spillovers, cascades | Graphs, adjacency matrices, transmission matrices | System-level relational pattern |
| Dynamics | Transition dynamics | Rules governing how the system moves between states | Core generator of macro evolution | Difference/differential equations | Fundamental dynamic property |
| Dynamics | Adjustment speed | How quickly aggregates respond to disturbances | Determines stability, persistence, reversion | Lag structures, reaction coefficients | Only meaningful at the system scale |
| Dynamics | Feedback strength | Extent to which changes amplify or dampen | Determines cycles, equilibrium, or divergence | Feedback coefficients, Jacobians | System-level recursive behavior |
| Dynamics | Shock propagation | How disturbances travel across aggregates | Explains spread of crises, contagion, imbalances | Impulse-response functions | A macro dynamic property |
| Interaction | NONE (no inter-agent interactions) | This domain does not model agent-level strategic influence | N/A | N/A | Interaction is absent by definition |
| Constraint | System constraints | Limits on system behavior (resource caps, capacity limits) | Define feasible region of macro dynamics | Boundary conditions, inequality systems | Constraints applying to entire system |
| Constraint | Structural parameters | Deep features that anchor long-run outcomes | Govern growth, equilibrium positions | α, β, δ parameters, technology parameters | System constants, not agent-level inputs |
| Constraint | Conservation laws | Quantities that cannot change (mass balances, accounting identities) | Restrict state transitions | Identities, conservation equations | System-level invariants |
| Constraint | Institutional / policy constraints | Rules shaping aggregate behavior (tax, regulation, monetary) | Bound system evolution | Policy functions, rule-based systems | Constraints applied to macro aggregates |
| Information | Aggregate information state | Information available at the system level (data quality, signal accuracy) | Affects forecasting, expectations, stability | Aggregate signals, noise levels | Epistemic property of the system |
| Information | Uncertainty about system state | Imperfect knowledge of current or future macro-states | Drives precautionary behavior, volatility | Confidence sets, volatility measures | System-level uncertainty |
| Information | Information dispersion | Degree to which information is distributed unevenly across the system | Shapes adjustment speed, volatility | Variance of signals, dispersion metrics | Only matters as a macro property |
| Evaluation | System performance metrics | Measures of how well the system is functioning | Guides policy and long-run assessment | Welfare aggregates, stability measures | System-level normative evaluation |
| Evaluation | Stability / resilience | Ability to absorb shocks and return to equilibrium | Determines long-run viability | Stability criteria, eigenvalues | Evaluation of system robustness |
| Evaluation | Long-run desirability | Rankings over steady states or trajectories | Guides policy or normative frameworks | Value functions over states, social objectives | System-level goodness criterion |