Intertemporal Equilibrium¶
A multi-period allocation and price system in which agents' complete dated plans are individually optimal and mutually feasible across time, states, assets, production, and resource constraints.
Core Idea¶
Intertemporal equilibrium treats goods at different dates or states as economically distinct and solves choices jointly across the horizon. Households allocate consumption, labor, and wealth; firms coordinate hiring, production, and investment; and assets or contingent claims transmit purchasing power and risk.
Equilibrium requires more than a forecast path. Given the modeled information and prices, each complete plan is optimal, budgets and technologies link periods correctly, and all dated markets or strategic choices are mutually consistent. Different market-completeness and expectation assumptions produce different intertemporal equilibrium concepts.
Scope of Application¶
- Macroeconomics. Links saving, capital accumulation, labor, and consumption.
- Finance. Prices dated and state-contingent payoffs.
- Public economics. Studies taxes, debt, and policy across generations and periods.
- General equilibrium theory. Extends commodity and clearing conditions across time and uncertainty.
Clarity¶
State horizon, uncertainty, information, expectation rule, asset completeness, constraints, and equilibrium concept. Distinguish a steady state, transition dynamics, and the full intertemporal equilibrium path. Inclusion test: Specify dates and states, preferences and technologies, budget or asset constraints, information, complete agent plans, and clearing or strategic-consistency conditions across the whole horizon. Exclusion test: Exclude a static equilibrium repeated without cross-period links, an optimal plan for one agent alone, and a transition path that does not satisfy equilibrium conditions at every modeled date. Nearest boundary: Temporary equilibrium clears current markets under short-run expectations that may later be revised; intertemporal equilibrium imposes consistency on plans across the modeled horizon. Exit condition: The construction loses identity when future choices do not enter current constraints or when dated plans fail individual optimality or aggregate feasibility.
Manages Complexity¶
The framework converts dynamic mutual dependence into a unified system of plans and prices. It reveals cross-date opportunity costs but can hide strong assumptions about foresight, markets, commitment, and aggregation.
Abstract Reasoning¶
- Index commodities and contingencies by date and state.
- Write agent objectives and intertemporal constraints.
- Specify technologies, assets, information, and expectations.
- Solve complete optimal plans conditional on prices.
- Impose clearing or strategic consistency across every date and state.
Knowledge Transfer¶
The dated-plan consistency pattern transfers among competitive, overlapping-generations, and strategic models only after restating information and closure. Static equilibrium intuition alone is insufficient.
Relationships to Other Abstractions¶
Current abstraction Intertemporal Equilibrium Domain-specific
Parents (1) — more general patterns this builds on
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Intertemporal Equilibrium is a kind of Competitive Equilibrium Domain-specific
Intertemporal Equilibrium is a Competitive Equilibrium in which dated and state-contingent plans are jointly optimal and markets clear across multiple periods.
Hierarchy path (1) — routes to 1 parentless root
- Intertemporal Equilibrium → Competitive Equilibrium → Equilibrium → Fixed Point
Neighborhood in Abstraction Space¶
Intertemporal Equilibrium sits in a crowded region of the domain-specific corpus (31st percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.
Family — Economic Growth & Development Models (22 abstractions)
Nearest neighbors
- Welfare Cost of Business Cycles — 0.90
- Pecuniary Externality — 0.89
- General equilibrium theory — 0.89
- Strategy dynamics — 0.88
- SATPlan — 0.88
Computed from structural-signature embeddings · 2026-10-08