is here meant the independent seeking of the same thing at one time by two or more persons. Where there is one market price paid by a number of buyers, it may be that no two of the subjective estimates are alike; the exchange value may differ from all of their estimates, and yet must correspond closely to two. Auction sales well illustrate the principle. If there is one ax to be sold and ten possible buyers for an ax, and there is no combination among them, the bidding will go on until the estimate of the buyer next to the most eager, has been reached. The most eager buyer can then secure the ax by bidding just a little above his next competitor. But if there are ten axes and ten buyers who know that there will be ten axes offered, the more eager buyers will refuse to bid much above the less eager ones. A shrewd auctioneer, therefore, often conceals the fact that there is more than one of an article, and having sold it off, brings out a second or a third one of the same kind, thus keeping the buyers in ignorance of the supply and getting somewhere near the estimate of the most eager buyer in each case. Advertisements of "a limited supply," "the last chance," "positively the last appearance," are meant to stimulate the demand of the patrons, and to lead them to buy at once. In general, therefore, where competition exists on one side, price is fixed with greater definiteness than in isolated exchange. Not so much depends on shrewd bargaining, on bluff, or on the stubbornness of an individual. Far more depends on forces outside the control of any one man. The bidders are impelled by self-interest to outbid their competitors, and thus the limits within which the market price must fall are narrowly fixed.
Buyers fix price of perishable goods
If things already brought to market must be sold at any price that can be secured, the buyers may be said to fix the price. This does not mean that they can buy it for any sum that they wish, but it means that when each one is trying to get it as cheap as possible, their bids finally determine how much it will sell for. In such cases, therefore, the competition is for the moment one-sided.
If a part of the supply can be withdrawn and kept without great loss, this will be done if the price is low. Strawberries, fish, and meat may be sold Saturday night at any price that will secure purchasers, but every thing that can be kept with little or no depreciation will be withheld from sale for a time. It may even be of advantage to the seller to destroy a part of the supply, when the increased price of the smaller amount will give a larger total.
The margin of advantage and the marginal pair
3. Where two-sided competition exists, the bidding goes on until a price is reached where the least eager seller and the least eager buyer have the narrowest possible motive to exchange. As the market ratio varies from those in the minds of the individuals when they come to the market, there is left a considerable margin to some and a very small one to others. This difference between the market value and the ratio of exchange at which any given individual would continue to exchange for the good may be called the margin of advantage. Moreover, the buyers will have a margin and the sellers a margin, and as that margin narrows there is less and less motive to continue the exchange until, finally, the margin disappearing, the buyer or seller, withdrawing from the market, ceases to be an exchanger, at least for that particular part of the goods.
The least eager buyer and the least eager seller may be called the marginal pair. They are the buyer and the seller respectively having the narrowest margin of advantage. Their outside estimates are nearest to the market ratio. If the market ratio shifts slightly in either direction, one of them will drop out of the exchange. It is evident that a buyer who is taking ten units may be on the margin with reference to the tenth unit, and yet may continue to be one of the most eager buyers to secure one unit. Thus, the marginal buyer is to be thought of as that person who, logically considered, is the least eager, or on the margin, with reference to a particular unit of supply, however eager he may be with reference to any other unit of supply. It would be well to recall here the discussion of the nature of wants and the variation in the intensity of demand.
Market values built on individual estimates
4. Market values are built up on subjective valuations. The idea of market values, therefore, is that of the want-gratifying power of goods as expressed in terms of other goods, where there are various buyers and sellers. They are not an average of the subjective valuations, nor are they made up of the extremes. They correspond closely with the subjective estimates of two of the exchangers. The other parties to the exchange are willing to accept the market ratio, for it offers them more inducements than it does to either one of the marginal pair.
§ III. PRICE IN A MARKET
One price in a market
1. A market is a body of buyers and sellers in such close business relations that the actual price conforms closely to the valuation of the marginal pair. The word "price" which we have used, may be defined as value expressed in terms of some commonly exchanged commodity. The term is used more broadly of anything given in exchange. The very terms of this definition imply that there can be but one price in a market. This is a somewhat abstract but a useful economic proposition. Very often within sound of each other's voices traders are paying different prices for a good. On the occasion of a break in the stock-market, excited traders within ten feet of each other make bids that differ by thousands of dollars. Retail and wholesale merchants may be purchasing goods in the same room at the same time at very different prices. But within a group of buyers and sellers where competition is approximately complete, price is fixed with some degree of exactness. The more nearly the actual conditions approach to the ideal of a market, the less are prices fixed by higgling, and the more impersonal they become, the buyers and sellers being compelled to adjust their bids to the needs of the market, and not being able to vary them greatly one way or the other.
The earlier markets
2. Markets are steadily widening through the improvement of means of communication and transportation. The earliest markets were established on the borders between tribes, villages or nations as a common ground where strangers met to trade. At such markets were brought together from sparsely settled districts a comparatively large number of merchants and customers. Buyers had the opportunity of wide selection both in kind and quality, and the sellers found a large body of customers gathered at one point. Throughout the Middle Ages purchases were made by the more prosperous husbandmen in great quantities once a year at the fairs or markets. As both the buyers and sellers came from widely separated places, there was, in most respects, no combination, and the conditions of a competitive market were present.
The growth of markets
The number of buyers and sellers that can constitute a single market is limited both directly and indirectly by the means of transportation. A dense population cannot usually be maintained without easy means of transportation to bring in a large supply of food, and to carry back manufactured goods great distances. The remarkable growth in the means of commerce since the application of steam to water traffic, and the invention of the railroad, have made it possible for goods to be gathered from most distant points. A market implies a common understanding among traders. Modern means of communication such as newspapers, post-offices, telegraph and cable, trade bulletins, commercial travelers, the consular service, and many forms of special agencies, are diffusing information widely. As a result of these changes, there has been a widening of the village-market to the markets of the province, of the nation, and finally of the world. While a part of every one's purchases continues to be made in the neighborhood, a greater and greater portion of the total business is done by traders who are widely separated and who are indeed members of the world market. Various articles produced in the same locality may seek different markets. The market for wheat may be in Liverpool, while that for fruit and eggs is in the village near the farm-house. If a given
