Machine learningGame-theoretic
Arrow-Debreu Equilibrium
The Arrow-Debreu model is a general equilibrium framework where prices adjust to clear all markets simultaneously, and consumers and firms optimize given those prices. Introduced by Kenneth Arrow and Gerard Debreu in 1954, the model extends Adam Smith's invisible hand concept into a rigorous mathematical framework. Arrow-Debreu equilibrium proves existence, uniqueness (under certain conditions), and Pareto efficiency of competitive equilibria.
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Sources
- Arrow, K. J., & Debreu, G. (1954). Existence of an equilibrium for competitive economies. Econometrica, 22(3), 265-290. DOI: 10.2307/1907353 ↗
- Debreu, G. (1959). Theory of Value: An Axiomatic Analysis of Economic Equilibrium. Yale University Press. link ↗