General Equilibrium Analysis in Competitive Economies
Summary
General equilibrium analysis provides a unified framework for understanding how multiple markets interact to determine prices, allocations and welfare outcomes in an economy composed of countless agents and commodities. At its core lies the concept that individual optimisation under budget constraints and firms’ profit‐maximising behaviour, when aggregated, yield a price system that clears all markets simultaneously. Existence proofs, beginning with the Arrow–Debreu model, established conditions under which such equilibria arise, relying on assumptions of convex preferences and continuous technologies. Stability and uniqueness questions have driven research into adjustment processes, notably the tâtonnement mechanism, whereby hypothetical price updates converge to equilibrium only under stringent regularity conditions. Extensions to large economies with a continuum of agents or diffuse endowment distributions have demonstrated global stability under modified dynamics. Meanwhile, computational general equilibrium techniques have enabled policy simulation in applied contexts, integrating non‐homothetic preferences and complex production structures. Recent advances also probe the empirical identification of underlying preferences from observed price–endowment mappings and explore decentralised trading protocols that approximate Walrasian outcomes without a central auctioneer. Across theoretical and applied domains, general equilibrium analysis remains pivotal for assessing welfare impacts of policy, technological change and global shocks in integrated markets.
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Technical terms
General equilibrium: A state in which supply and demand balance in every market simultaneously, given a common price system.
Walrasian equilibrium: A vector of prices that equates aggregate demand with aggregate supply across all goods when all agents optimise.
Tâtonnement: A theoretical price‐adjustment process in which prices are updated iteratively based on excess demand, without actual trades until equilibrium is reached.
Edgeworthian exchange economy: A model of pairwise or coalition bargaining among agents endowed with goods, where trades occur directly and outcomes can approach competitive equilibria under symmetry conditions.
Identification (in general equilibrium): The ability to infer unobserved primitives (such as preferences or technologies) from patterns of observed equilibrium prices and allocations.
References
- Bounded Rational Players in a Symmetric Random Exchange Market. Mathematics (2024).
- Global stability in large economies. Economic Theory Bulletin (2025).
- Identification in general equilibrium. Journal of Mathematical Economics (2024).
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