"On the Role of Tax-Subsidy Scheme in Money Search Models"

This paper investigates the role of policy in money search models with divisible money. Recently, real indeterminacy of stationary equilibria has been found in both specific and general search models with divisible money. Thus if we assume the divisibility of money, it would be quite difficult to make accurate predictions of the effects of simple monetary policies. Instead, we show that some tax-subsidy schemes select a determinate efficient equilibrium. In other words, for a given efficient equilibrium and for any real number δ > 0, a certain tax-subsidy scheme induces a locally determinate equilibrium within the δ -neighborhood of the given equilibrium. Moreover, the size of the tax-subsidy can be arbitrarily small.

"Hysteresis in Dynamic General Equilibrium Models with Cash-in-Advance Constraints"

In this paper, we investigate equilibrium cycles in dynamic general equilibrium models with cash-in-advance constraints. Our findings are two-fold. First, in such models, if an equilibrium cycle exists, then there also exists a continuum of equilibrium cycles in its neighborhood. Second, the limit cycle, to which a dynamic path converges, varies continuously according to the initial distribution of the money holdings. Thus, temporary shocks that affect the initial distribution have permanent effects in such models; that is, such models exhibit hysteresis. Furthermore, we also explore the logic behind the results.

"Stationary Monetary Equilibria with Strictly Increasing Value Functions and Non-Discrete Money Holdings Distributions: An Indeterminacy Result"

In this paper, we present a search model with divisible money in which there exists a continuum of monetary equilibria with strictly increasing continuous value functions and with non-discrete money holdings distributions.

On the Role of Tax-Subsidy Scheme in Money Search Models (Subsequently published in "International Economic Review" 48, 2007, 575-606. )

This paper investigates the role of policy in money search models with divisible money. Recently, real indeterminacy of stationary equilibria has been found in both specific and general search models with divisible money. Thus if we assume the divisibility of money, it would be quite difficult to make accurate predictions of the effects of simple monetary policies. Instead, we show that some tax-subsidy schemes select a determinate efficient equilibrium. In other words, for a given efficient equilibrium and for any real number ? > 0, a certain tax-subsidy scheme induces a locally determinate equilibrium within the ? -neighborhood of the given equilibrium. Moreover, the size of the tax-subsidy can be arbitrarily small.

"Real Indeterminacy of Stationary Equilibria in Matching Models with Media of Exchange"

In this paper, it is shown that real indeterminacy of stationary equilibria generically arises in most matching models with perfectly divisible media of exchange. In other words, the real indeterminacy follows from the condition for stationarity of holdings of media of exchange. Moreover, we present a new technique to prove the existence of stationary equilibria; especially, it is applicable to the case that both money and goods are perfectly divisible.

"A Dynamic General Equilibrium Model with Centralized Auction Markets"

A conventional wisdom in economics is that a model dealing frictionless markets with a large number of agents always yields a Walrasian outcome. In this paper we assess the above argument in a dynamic framework by modeling centralized auction markets, and show that in such markets the outcomes are not necessarily Walrasian; the set of stationary equilibria in our model is a continuum which includes the Walrasian equilibrium. Moreover, we also buildamodelondecentralized auction markets and obtain similar results.

On the Existence of Single-Price Equilibria in a Matching Model with Divisible Money and Production Cost ("International Journal of Economic Theory" Volume 1, Issue 3, September 2005, Pages: 219-231. )

This paper investigates Zhou [4]'s money search model, where money is divisible, agents can hold any amount of money, and production of goods is costly, and presents a sufficient condition, expressed in terms of exogenously given parameters, for the existence of single-price equilibria.

"On the Existence of Single-Price Equilibria in a Matching Model with Divisible Money and Production Cost"

This paper investigates Zhou [4]'s money search model, where money is divisible, agents can hold any amount of money, and production of goods is costly, and presents a sufficient condition, expressed in terms of exogenously given parameters, for the existence of single-price equilibria.

Hysteresis in Dynamic General Equilibrium Models with Cash-in-Advance Constraints

In this paper, we investigate equilibrium cycles in dynamic general equilibrium models with cash-in-advance constraints. Our findings are two-fold. First, in such models, if an equilibrium cycle exists, then there also exists a continuum of equilibrium cycles in its neighborhood. Second, the limit cycle, to which a dynamic path converges, varies continuously according to the initial distribution of the money holdings. Thus, temporary shocks that affect the initial distribution have permanent effects in such models; that is, such models exhibit hysteresis. Furthermore, we also explore the logic behind the results.