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There is a close relationship between any inverse demand function for a linear demand equation and the marginal revenue function. For any linear demand function with an inverse demand equation of the form P = a - bQ, the marginal revenue function has the form MR = a - 2bQ. [6]
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 .
The first term in the RHS describes short-run impact of change in on , the second term explains long-run gravitation towards the equilibrium relationship between the variables, and the third term reflects random shocks that the system receives (e.g. shocks of consumer confidence that affect consumption). To see how the model works, consider two ...
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.
If we equate quantity supplied with quantity demanded to find the equilibrium price , we find that P e q b = a − c g − b . {\displaystyle P^{eqb}={\frac {a-c}{g-b}}.} This means that the equilibrium price depends positively on the demand intercept if g – b > 0, but depends negatively on it if g – b < 0.
If the demand starts at D 2, and decreases to D 1, the equilibrium price will decrease, and the equilibrium quantity will also decrease. The quantity supplied at each price is the same as before the demand shift, reflecting the fact that the supply curve has not shifted; but the equilibrium quantity and price are different as a result of the ...
The equilibrium price is at the intersection of the supply and demand curves. A poor harvest in period 1 means supply falls to Q 1, so that prices rise to P 1. If producers plan their period 2 production under the expectation that this high price will continue, then the period 2 supply will be higher, at Q 2.
In a monopoly, marginal revenue (MR) equals marginal cost (MC). The equilibrium quantity is obtained from where MR and MC intersect and the equilibrium price can be found on the demand curve where MR = MC. Property P1 is not satisfied because the amount demand and the amount supplied at the equilibrium price are not equal.
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