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At the competitive equilibrium, the value society places on a good is equivalent to the value of the resources given up to produce it (marginal benefit equals marginal cost). This ensures allocative efficiency : the additional value society places on another unit of the good is equal to what society must give up in resources to produce it.
A competitive equilibrium is a price vector and an allocation in which the demands of all agents are satisfied (the demand of each good equals its supply). In a linear economy, it consists of a price vector and an allocation , giving each agent a bundle such that:
This model can be generalized to any number of species competing against each other. One can think of the populations and growth rates as vectors, α 's as a matrix.Then the equation for any species i becomes = (=) or, if the carrying capacity is pulled into the interaction matrix (this doesn't actually change the equations, only how the interaction matrix is defined), = (=) where N is the ...
A-CEEI (and CEEI in general) is related, but not identical, to the concept of competitive equilibrium. Competitive equilibrium (CE) is a descriptive concept: it describes the situation in free market when the price stabilizes and the demand equals the supply. CEEI is a normative concept: it describes a rule for dividing commodities between people.
Market equilibrium computation is interesting due to the fact that a competitive equilibrium is always Pareto efficient. The special case of a Fisher market, in which all buyers have equal incomes, is particularly interesting, since in this setting a competitive equilibrium is also envy-free. Therefore, market equilibrium computation is a way ...
With these two terms the prey equation above can be interpreted as follows: the rate of change of the prey's population is given by its own growth rate minus the rate at which it is preyed upon. The term δxy represents the growth of the predator population. (Note the similarity to the predation rate; however, a different constant is used, as ...
In most simple microeconomic stories of supply and demand a static equilibrium is observed in a market; however, economic equilibrium can be also dynamic. 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.
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.