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Market equilibrium computation (also called competitive equilibrium computation or clearing-prices computation) is a computational problem in the intersection of economics and computer science. The input to this problem is a market , consisting of a set of resources and a set of agents .
Equilibrium may also be economy-wide or general, as opposed to the partial equilibrium of a single market. Equilibrium can change if there is a change in demand or supply conditions. For example, an increase in supply will disrupt the equilibrium, leading to lower prices. Eventually, a new equilibrium will be attained in most markets.
The original equilibrium price is $3.00 and the equilibrium quantity is 100. The government then levies a tax of $0.50 on the sellers. This leads to a new supply curve which is shifted upward by $0.50 compared to the original supply curve. The new equilibrium price will sit between $3.00 and $3.50 and the equilibrium quantity will decrease.
Supply chain as connected supply and demand curves. In microeconomics, supply and demand is an economic model of price determination in a market.It postulates that, holding all else equal, the unit price for a particular good or other traded item in a perfectly competitive market, will vary until it settles at the market-clearing price, where the quantity demanded equals the quantity supplied ...
A competitive equilibrium (CE) consists of two elements: A price function . It takes as argument a vector representing a bundle of commodities, and returns a positive real number that represents its price. Usually the price function is linear - it is represented as a vector of prices, a price for each commodity type.
It follows that the market value of total excess demand in the economy must be zero, which is the statement of Walras's law. Walras's law implies that if there are n markets and n – 1 of these are in equilibrium, then the last market must also be in equilibrium, a property which is essential in the proof of the existence of equilibrium.
It is named after the German economist Heinrich Freiherr von Stackelberg who published Marktform und Gleichgewicht [Market Structure and Equilibrium] in 1934, which described the model. In game theory terms, the players of this game are a leader and a follower and they compete on quantity. The Stackelberg leader is sometimes referred to as the ...
Note the difference from a competitive equilibrium in a market of private goods (Fisher market): In a Fisher market equilibrium, there is a single price-vector for all agents, but each agent has a different bundle; In a Lindahl equilibrium, there is a personal price-vector for each agent, but all agents have the same bundle. A Lindahl ...