Transformation Assistant
Model: Interconnected Investment Model
Type: Dynamic optimization
Field Translation Checklist
- Agent state variables identified
- Distribution function defined
- Interaction structure defined
- Mean-field approximation validated
AI Assistant
I have analyzed the model. To translate it into a field representation, we must define the agent distribution and interaction structure.
Proposed Field Representation
Agent variable: kᵢ
Density function:
ρ(k,t)
Evolution equation:
∂ρ/∂t + ∂(ρF(k))/∂k = D ∂²ρ/∂k²