This paper provides a mathematical foundation for independent random matching of a large population, as widely used in the economics literature. We consider both static and dynamic systems with random mutation, partial matching arising from search, and type changes induced by matching. Under...

This paper describes a class of stochastic stabilizing policies within asset price regimes that can be easily incorporated into the framework of regime switching recently proposed by Froot and Obstfeld (1991). In contrast to previous treatments of market-driven fundamentals within the regime,...

This paper studies a New-Keynesian model in which monetary policy may switch between regimes. We derive sufficient conditions for indeterminacy that are easy to implement and we show that the necessary and sufficient condition for determinacy, provided by Davig and Leeper, is necessary but not...

This paper is about the properties of Markov switching rational expectations (MSRE) models. We present a simple monetary policy model that switches between two regimes with known transition probabilities. The first regime, treated in isolation, has a unique determinate rational expectations...

Tax rates have fluctuated considerably since federal income taxes were introduced in the United States in 1913. This paper analyzes the effects of stochastic taxation on asset prices in a dynamic general equilibrium model. Stochastic taxation affects the after-tax returns of both risky and safe...

We study the design of optimal monetary policy under uncertainty in a dynamic stochastic general equilibrium models. We use a Markov jump-linear-quadratic (MJLQ) approach to study policy design, approximating the uncertainty by different discrete modes in a Markov chain, and by taking...

In the political debate people express the idea that immigrants are good because they can help pay for the old. The paper explores this idea in a dynamic political-economy setup. For this purpose we develop an OLG political economy model of social security and migration. We characterize sub-game...

We analyze equilibrium leverage dynamics in a dynamic tradeoff model when the firm is unable to commit to a leverage policy ex ante. We develop a methodology to characterize equilibrium equity and debt prices in a general jump-diffusion framework, and apply our approach to the standard Leland...