Monetary Exchange with Multilateral Matching

This paper analyzes monetary exchange in a search model allowing for multilateral matches to be formed, according to a standard urn-ball process. We consider three physical environments: indivisible goods and money, divisible goods and indivisible money, and divisible goods and money. We compare the results with Kiyotaki and Wright (1993), Trejos and Wright (1995), and Lagos and Wright (2005) respectively. We …nd that the multilateral matching setting generates very simple and intuitive equilibrium allocations that are similar to those in the other papers, but which have important di¤erences. In particular, sur- plus maximization can be achieved in this setting, in equilibrium, with a positive money supply. Moreover, with ‡exible prices and directed search, the …rst best allocation can be attained through price posting or through auctions with lotteries, but not through auctions without lotteries. Finally, analysis of the case of divisible goods and money can be performed without the assumption of large families (as in Shi (1997)) or the day and night structure of Lagos and Wright (2005)Matching, Money, Directed Search

Monetary Exchange with Multilateral Matching

This paper analyzes monetary exchange in a search model allowing for multilateral matches to be formed, according to a standard urn-ballprocess. We consider three physical environments: indivisible goods and money, divisible goods and indivisible money, and divisible goods and money. We compare the results with Kiyotaki and Wright (1993), Trejos and Wright (1995), and Lagos and Wright (2005) respectively. We find that the multilateral matching setting generates very simple and intuitive equilibrium allocations that are similar to those in the other papers, but which have important differences. In particular, surplus maximization can be achieved in this setting, in equilibrium, with a positive money supply. Moreover, with flexible prices and directed search, the first best allocation can be attained through price posting or through auctions with lotteries, but not through auctions without lotteries. Finally, analysis of the case of divisible goods and money can be performed without the assumption of large families (as in Shi (1997)) or the day and night structure of Lagos and Wright (2005).monetary exchange; directed search; ex post bidding; multilateral matching

A Model of Money with Multilateral Matching, Second Version

We develop a model of monetary exchange that avoids several common criticisms of the recent microfoundations literature. First, rather than random matching, we assume that buyers know the location of all sellers, and hence the process of finding a partner is deterministic, although trade is still stochastic since the number of buyers visiting a given seller is random. Second, given multilateral matching, rather than bargaining, we assume that goods are allocated according to second-price auctions. Third, given this mechanism, we do not have to assume agents can observe each other’s money holdings or preferences, as is necessary for tractability with bargaining. A novel result is that homogeneous buyers hold different amounts of money, leading to equilibrium price dispersion. We find the closed-form solution for the distribution of money holdings. We characterize equilibrium and efficient monetary policy.Search Theory of Money, Budget Constrained Auctions, Friedman Rule

The 2006 Summer Workshop on Money, Banking, and Payments: an overview

This Policy Discussion Paper summarizes the papers presented at the 2006 Summer Workshop on Money, Banking, and Payments. Every summer since 2002, some of the best researchers in the areas of theory, policy, and quantitative analysis relating to money, banking, and payments systems have met in Cleveland to discuss their latest work. The papers presented at the 2006 workshop cover a vast spectrum of issues and use a wide variety of methods. Still, there is an underlying theme, which is an effort to enhance our understanding of monetary economics, broadly defined, and to uncover new ways to think about important substantive issues. Hopefully, this helps not only theoretical monetary economists, but also economists such as central bankers with a more practical policy-oriented view.Monetary policy ; Monetary theory ; Banks and banking

Multi-player Bargaining with Endogenous Capacity

We study equilibrium prices and trade volume in a market with several identical buyers and a seller who commits to an inventory and then offers goods sequentially. Prices are determined by a strategic costly bargaining process with a random sequence of proponents. A unique subgame perfect equilibrium exists, characterized by no costly delays and heterogeneous sale prices. In equilibrium constraining capacity is a bargaining tactic the seller uses to improve a weak bargaining position. With capacity constraints, sale prices approach the outcome of an auction as bargaining costs vanish. The framework provides a building block for price formation in models of equilibrium search with multilateral matching, and offers a rationale for the adoption of single-unit auctions with fixed reservation price

Money, Search and Costly Matchmaking

I examine the robustness of monetary equilibria in a random matching model where a more efficient mechanism for trade is available. Agents choose between two trading sectors: the search and the intermediated sector. In the former, trade partners arrive randomly and there is a trading externality. In the latter a costly matching technology provides deterministic double-coincidence matches. Multiple equilibria exist with the extent of costly matching endogenously determined. Money and “mediated” trade may coexist. This depends on the size of the probability of a trade, relative to the cost of deterministic matching. This outcome is inferior for an increasing returns externality. Under certain conditions regimes with only costly matching are welfare superior to monetary regimes with random matching