We extend the concept of competitive search equilibrium to environments with private information, and in particular adverse selection.Principals (e.g.employers or agents who want to buy assets) post contracts, which we model as revelation mechanisms.Agents (e.g.workers, or asset holders) have private information about the potential gains from trade.Agents observe the posted contracts and decide where to apply, trading off the contracts' terms of trade against the probability of matching, which depends in general on the principals' capacity constraints and market search frictions.We characterize equilibrium as the solution to a constrained optimization problem, and prove that principals offer separating contracts to attract different types of agents.We then present a series of applications, including models of signaling, insurance, and lemons.These illustrate the usefulness and generality of the approach, and serve to contrast our findings with standard results in both the contract and search literatures.

We compare three market structures for monetary economies: bargaining (search equilibrium); price taking (competitive equilibrium); and price posting (competitive search equilibrium). We also extend work on the microfoundations of money by allowing a general matching technology and entry. We study how equilibrium and the effects of policy depend on market structure. Under bargaining, trade and entry are both inefficient, and inflation implies first-order welfare losses. Under price taking, the Friedman rule solves the first inefficiency but not the second, and inflation may actually improve welfare. Under posting, the Friedman rule yields the first best, and inflation implies second-order welfare losses.

We analyze money and credit as competing payment instruments in decentralized exchange.In natural environments, we show the economy does not need both: if credit is easy, money is irrelevant; if credit is tight, money is essential, but credit becomes irrelevant.Changes in credit conditions are neutral because real balances respond endogenously to keep total liquidity constant.This is true for both exogenous and endogenous debt limits and policy limits, secured and unsecured lending, and general pricing mechanisms.While we show how to overturn some of these results, the benchmark model suggests credit might matter less than people think.

We develop a model of monetary exchange where, as in the random matching literature, agents trade bilaterally and not through centralized markets. Rather than assuming they match exogenously and at random, however, we determine who meets whom as part of the equilibrium. We show how to formalize this process of directed matching in dynamic models with double coincidence problems, and present several examples and applications that illustrate how the approach can be used in monetary theory. Some of our results are similar to those in the random matching literature; others differ significantly. Copyright Econometric Society, 2002.