Price adjustment in an atomistic market

This paper considers the price adjustment process in a market which retains the characteristics of a perfectly competitive market except that individual firms are price-setters. Buyers, unaware initially of what prices which firms are charging, indulge in search by contacting a sample of firms and buy (according to a demand curve) from the lowest-price firm encountered. Firms set prices to maximise profits over their perceived (or estimated) demand curve, and update their estimated demand curve in accordance with the observed change in demand between successive time periods. It is shown that the price distribution converges to a degenerate distribution centred on the monopoly price.