This paper endogenizes the market structure of an economy with heterogeneous agents who want to form bilateral matches in the presence of search frictions and when utility is nontransferable. There exist infinitely many marketplaces, and each agent chooses which marketplace to be in: agents get to choose not only whom to match with but also whom they meet with. Perfect segmentation is obtained in equilibrium, where agents match with the first person they meet. All equilibria have the same matching pattern. Although perfect assortative matching is not obtained in equilibrium, the degree of assortativeness is greater than in standard models. (c) 2007 by The University of Chicago. All rights reserved..

a b s t r a c tWe present a theory of differences of liquidity across assets, based on an endogenous ranking of assets as media of exchange arising from their relative quality as hedging devices. When assets have two distinct roles, as intertemporal media of exchange and hedging devices, buyers have generically a strict preference for paying sellers with the asset which is the relative better hedging device for sellers. The consequence of this preference is that there are three monetary policy regimes, and these regimes differ in which assets serve as media of exchange, whether assets carry a liquidity premium, and in the impact that monetary policy has on asset prices.

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