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In this simple economic model with a closed economy there are three uses for GDP (the goods and services it produces in a year). If Y is national income (GDP), then the three uses of C consumption, I investment, and G government purchases can be expressed as:
In economics, economic equilibrium is a situation in which the economic forces of supply and demand are balanced, meaning that economic variables will no longer change. [ 1 ] Market equilibrium in this case is a condition where a market price is established through competition such that the amount of goods or services sought by buyers is equal ...
The IS–LM model shows the relationship between interest rates and output in the short run in a closed economy. The intersection of the " investment – saving " (IS) and " liquidity preference – money supply " (LM) curves illustrates a " general equilibrium " where supposed simultaneous equilibria occur in both the goods and the money markets.
The conceptual framework of equilibrium in a market economy was developed by Léon Walras [7] and further extended by Vilfredo Pareto. [8] It was examined with close attention to generality and rigour by twentieth century mathematical economists including Abraham Wald, [9] Paul Samuelson, [10] Kenneth Arrow and Gérard Debreu. [11]
Theorem — Let be a positive integer. If : {: =,, >} is a set-valued function with closed graph that satisfies Walras's law, then there exists an economy with households indexed by , with no producers ("pure exchange economy"), and household endowments {} such that each household satisfies all assumptions in the "Assumptions" section except the "strict convexity" assumption, and is the excess ...
Walras's law is a consequence of finite budgets. If a consumer spends more on good A then they must spend and therefore demand less of good B, reducing B's price. The sum of the values of excess demands across all markets must equal zero, whether or not the economy is in a general equilibrium.
This not only makes the formulas more concise and clear but also facilitates the use of analytical tools from linear algebra and matrix theory. The John von Neumann's general equilibrium model and the structural equilibrium model are examples of matrix-form CGE models, which can be viewed as generalizations of eigenequations.
In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an overall general equilibrium.