Random competitive exchange: Price distributions and gains from trade

This paper studies the behavior of a competitive exchange under uncertain preferences and random indivisible endowments. We obtain explicit closed-form results for the price distribution and expected gains from trade, both for case where the market is “thin” and the number of traders is low, and for the asymptotic case where the number of traders tends to infinity. We demonstrate that increasing the number of traders reduces price variability and increases the expected gains from trade, and that increasing the variability of traders' reservation prices increases price variability as well as the expected asymptotic gains from trade.