Perfect competition

In economic theory, perfect competition describes markets such that no participants are large enough to have the market power to set the price of a homogeneous product. Because the conditions for perfect competition are strict, there are few if any perfectly competitive markets. Still, buyers and sellers in some auction-type markets, say for commodities or some financial assets, may approximate the concept. Perfect competition serves as a benchmark against which to measure real-life and imperfectly competitive markets.Basic structural characteristics

Generally, a perfectly competitive market exists when every participant is a "price taker", and no participant influences the price of the product it buys or sells. Specific characteristics may include:

* Infinite buyers and sellers – Infinite consumers with the willingness and ability to buy the product at a certain price, and infinite producers with the willingness and ability to supply the product at a certain price.
* Zero entry and exit barriers – It is relatively easy for a business to enter or exit in a perfectly competitive market.
* Perfect factor mobility - In the long run factors of production are perfectly mobile allowing free long term adjustments to changing market conditions.
* Perfect information - Prices and quality of products are assumed to be known to all consumers and producers.[1]
* Zero transaction costs - Buyers and sellers incur no costs in making an exchange (perfect mobility).[1]
* Profit maximization - Firms aim to sell where marginal costs meet marginal revenue, where they generate the most profit.
* Homogeneous products – The characteristics of any given market good or service do not vary across suppliers.
* Constant returns to scale - Constant returns to scale ensure that there are sufficient firms in the industry.[2]

In the short term, perfectly-competitive markets are not productively efficient as output will not occur where marginal cost is equal to average cost, but allocatively efficient, as output will always occur where marginal cost is equal to marginal revenue, and therefore where marginal cost equals average revenue. In the long term, such markets are both allocatively and productively efficient.[3]

Under perfect competition, any profit-maximizing producer faces a market price equal to its marginal cost. This implies that a factor's price equals the factor's marginal revenue product. This allows for derivation of the supply curve on which the neoclassical approach is based. (This is also the reason why "a monopoly does not have a supply curve.") The abandonment of price taking creates considerable difficulties to the demonstration of existence of a general equilibrium[4] except under other, very specific conditions such as that of monopolistic competition.In a perfectly competitive market, a firm's demand curve is perfectly elastic.

As mentioned above, the perfect competition model, if interpreted as applying also to short-period or very-short-period behaviour, is approximated only by markets of homogeneous products produced and purchased by very many sellers and buyers, usually organized markets for agricultural products or raw materials. In real-world markets, assumptions such as perfect information cannot be verified and are only approximated in organized double-auction markets where most agents wait and observe the behaviour of prices before deciding to exchange (but in the long-period interpretation perfect information is not necessary, the analysis only aims at determining the average around which market prices gravitate, and for gravitation to operate one does not need perfect information).

In the absence of externalities and public goods, perfectly competitive equilibria are Pareto-efficient, i.e. no improvement in the utility of a consumer is possible without a worsening of the utility of some other consumer. This is called the First Theorem of Welfare Economics. The basic reason is that no productive factor with a non-zero marginal product is left unutilized, and the units of each factor are so allocated as to yield the same indirect marginal utility in all uses, a basic efficiency condition (if this indirect marginal utility were higher in one use than in other ones, a Pareto improvement could be achieved by transferring a small amount of the factor to the use where it yields a higher marginal utility).

A simple proof assuming differentiable utility functions and production functions is the following. Let wj be the 'price' (the rental) of a certain factor j, let MPj1 and MPj2 be its marginal product in the production of goods 1 and 2, and let p1 and p2 be these goods' prices. In equilibrium these prices must equal the respective marginal costs MC1 and MC2; remember that marginal cost equals factor 'price' divided by factor marginal productivity (because increasing the production of good by one very small unit through an increase of the employment of factor j requires increasing the factor employment by 1/MPji and thus increasing the cost by wj/MPji, and through the condition of cost minimization that marginal products must be proportional to factor 'prices' it can be shown that the cost increase is the same if the output increase is obtained by optimally varying all factors). Optimal factor employment by a price-taking firm requires equality of factor rental and factor marginal revenue product, wj=piMPji, so we obtain p1=MC1=wj/MPj1, p2=MCj2=wj/MPj2.

Now choose any consumer purchasing both goods, and measure his utility in such units that in equilibrium his marginal utility of money (the increase in utility due to the last unit of money spent on each good), MU1/p1=MU2/p2, is 1. Then p1=MU1, p2=MU2. The indirect marginal utility of the factor is the increase in the utility of our consumer achieved by an increase in the employment of the factor by one (very small) unit; this increase in utility through allocating the small increase in factor utilization to good 1 is MPj1MU1=MPj1p1=wj, and through allocating it to good 2 it is MPj2MU2=MPj2p2=wj again. With our choice of units the marginal utility of the amount of the factor consumed directly by the optimizing consumer is again w, so the amount supplied of the factor too satisfies the condition of optimal allocation.

Monopoly violates this optimal allocation condition, because in a monopolized industry market price is above marginal cost, and this means that factors are underutilized in the monopolized industry, they have a higher indirect marginal utility than in their uses in competitive industries. Of course this theorem is considered irrelevant by economists who do not believe that general equilibrium theory correctly predicts the functioning of market economies; but it is given great importance by neoclassical economists and it is the theoretical reason given by them for combating monopolies and for antitrust legislation.
[edit] Profit

In contrast to a monopoly or oligopoly, it is impossible for a firm in perfect competition to earn economic profit in the long run, which is to say that a firm cannot make any more money than is necessary to cover its economic costs. In order not to misinterpret this zero-long-run-profits thesis, it must be remembered that the term 'profit' is also used in other ways. Neoclassical theory defines profit as what is left of revenue after all costs have been subtracted, including normal interest on capital plus the normal excess over it required to cover risk, and normal salary for managerial activity. Classical economists on the contrary defined profit as what is left after subtracting costs except interest and risk coverage; thus, if one leaves aside risk coverage for simplicity, the neoclassical zero-long-run-profit thesis would be re-expressed in classical parlance as profits coinciding with interest in the long period, i.e. the rate of profit tending to coincide with the rate of interest. Profits in the classical meaning do not tend to disappear in the long period but tend to normal profit. With this terminology, if a firm is earning abnormal profit in the short term, this will act as a trigger for other firms to enter the market. As other firms enter the market the market supply curve will shift out causing prices to fall. Existing firms will react to this lower price by adjusting their capital stock downward.[11] This adjustment will cause their marginal cost to shift to the left causing the market supply curve to shift inward.[11] However, the net effect of entry by new firms and adjustment by existing firms will be to shift the supply curve outward.[11] The market price will be driven down until all firms are earning normal profit only.[12]

It is important to note that perfect competition is a sufficient condition for allocative and productive efficiency, but it is not a necessary condition. Laboratory experiments in which participants have significant price setting power and little or no information about their counterparts consistently produce efficient results given the proper trading institutions.[13]
[edit] The shutdown point

In the short run, a firm operating at a loss [R < TC (revenue less than total cost) or P < ATC (price less than unit cost)] must decide whether to continue to operate or temporarily shutdown.[14] The shutdown rule states "in the short run a firm should continue to operate if price exceeds average variable costs."[15] Restated, the rule is that for a firm to continue producing in the short run it must earn sufficient revenue to cover its variable costs.[16] The rationale for the rule is straightforward. By shutting down a firm avoids all variable costs.[17] However, the firm must still pay fixed costs.[18] Because fixed cost must be paid regardless of whether a firm operates they should not be considered in deciding whether to produce or shutdown. Thus in determining whether to shut down a firm should compare total revenue to total variable costs (VC) rather than total costs (FC + VC). If the revenue the firm is receiving is greater than its total variable cost (R > VC) then the firm is covering all variable cost plus there is additional revenue (“contribution”), which can be applied to fixed costs. (The size of the fixed costs is irrelevant as it is a sunk cost. The same consideration is used whether fixed costs are one dollar or one million dollars.) On the other hand if VC > R then the firm is not even covering its production costs and it should immediately shut down. The rule is conventionally stated in terms of price (average revenue) and average variable costs. The rules are equivalent (If you divide both sides of inequality TR > TVC by Q gives P > AVC). If the firm decides to operate, the firm will continue to produce where marginal revenue equals marginal costs because these conditions insure not only profit maximization (loss minimization) but also maximum contribution.

Another way to state the rule is that a firm should compare the profits from operating to those realized if it shutdown and select the option that produces the greater profit.[19][20] A firm that is shutdown is generating zero revenue and incurring no variable costs. However the firm still has to pay fixed cost. So the firm’s profit equals fixed costs or (- FC).[21] An operating firm is generating revenue, incurring variable costs and paying fixed costs. The operating firm's profit is R - VC - FC . The firm should continue to operate if R - VC - FC ≥ - FC which simplified is R ≥ VC.[[22][23] The difference between revenue, R, and variable costs, VC, is the contribution to fixed costs and any contribution is better than none. Thus, if R ≥ VC then firm should operate. If R < VC the firm should shut down.

A decision to shut down means that the firm is temporarily suspending production. It does not mean that the firm is going out of business (exiting the industry).[24]] If market conditions improve, and prices increase, the firm can resume production. Shutting down is a short-run decision. A firm that has shut down is not producing. The firm still retains its capital assets; however, the firm cannot leave the industry or avoid its fixed costs in the short run. Exit is a long-term decision. A firm that has exited an industry has avoided all commitments and freed all capital for use in more profitable enterprises.[25]

However, a firm cannot continue to incur losses indefinitely. In the long run, the firm will have to earn sufficient revenue to cover all its expenses and must decide whether to continue in business or to leave the industry and pursue profits elsewhere. The long-run decision is based on the relationship of the price and long-run average costs. If P ≥ AC then the firm will not exit the industry. If P < AC, then the firm will exit the industry. These comparisons will be made after the firm has made the necessary and feasible long-term adjustments. In the long run a firm operates where marginal revenue equals long-run marginal costs.[26]
[edit] Short-run supply curve

The short run supply curve for a perfectly competitive firm is the marginal cost (MC) curve at and above the shutdown point. Portions of the marginal cost curve below the shut down point are not part of the SR supply curve because the firm is not producing in that range. Technically the SR supply curve is a discontinuous function composed of the segment of the MC curve at and above minimum of the average variable cost curve and a segment that runs with the vertical axis from the origin to but not including a point "parallel" to minimum average variable costs.