The design of monetary and fiscal policy: A global perspective

We study the emergence of multiple equilibria in models with capital and bonds under various monetary and fiscal policies. We show that the presence of capital is indeed another independent source of local and global multiplicities, even under active policies that yield local determinacy. We also show how a very similar mechanism generates multiplicities in models with bonds and distortionary taxation. We then explore the design of monetary policies that avoid multiple equilibria. We show that interest rate policies that respond to the output gap, while potentially a source of significant inefficiencies, may be effective in preventing multiple equilibria and costly oscillatory equilibrium dynamics.     

Expectations and optimal monetary policy: A stability problem revisited

A landmark result in the optimal monetary policy design literature is that fundamental-based interest rate rules invariably lead to rational expectations equilibria (REE) that are not stable under adaptive learning. In this paper, we make a novel information assumption that private agents cannot observe aggregate fundamental shocks, and use simple linear forecasting rules for learning. We find that with fundamental-based rules, there exist limited information equilibria that are stable under learning. Moreover, there are multiple equilibria. Learning can be used as a selection tool to identify a unique equilibrium.     

Firm-specific capital, nominal rigidities, and the Taylor principle

In the presence of firm-specific capital the Taylor principle can generate multiple equilibria. Sveen and Weinke [New perspectives on capital, sticky prices, and the Taylor principle, J. Econ. Theory 123 (2005) 21-39] obtain that result in the context of a Calvo-style sticky price model. One potential criticism is that the price stickiness which is needed for our theoretical result to be relevant from a practical point of view is somewhat to the high part of available empirical estimates. In the present paper we show that if nominal wages are not fully flexible (which is an uncontroversial empirical fact) then the Taylor principle fails already for some minor degree of price stickiness. We use our model to explain the consequences of both nominal rigidities for the desirability of alternative interest rate rules.     

Trend inflation and macroeconomic stability in a small open economy

This paper estimates a small open economy New Keynesian model for Australia with positive trend inflation while allowing for multiple equilibria. We first show the extent to which positive trend inflation can shrink the determinacy region. We then conduct a Bayesian estimation over two separate periods: from 1983Q1 to 1993Q1, covering the pre-inflation-targeting regime, and from 1993Q2 to 2018Q4, covering the inflation-targeting regime. We find that Australian monetary policy before the adoption of inflation-targeting permitted multiple equilibria and self-fulfilling inflation expectations to arise, resulting in exacerbated macroeconomic volatility. The implementation of inflation-targeting in Australia in the early 1990s successfully eradicated equilibrium multiplicity and sunspot shocks, and thereby drove the economy towards greater stability.     

Equity market and foreign capital

Abstract .  I present a model that demonstrates that the market mechanism is not always effective in stabilizing an open equity market. Foreign capital inflows create multiple equilibria in the equity market, which may simultaneously trigger a currency crisis as well as an equity market crash even if the equity market is well developed.     

Capital market imperfections in a monetary growth model

Summary. We consider a monetary growth model essentially identical to that of Diamond (1965) and Tirole (1985), except that we explicitly model credit markets, a credit market friction, and an allocative function for financial intermediaries. These changes yield substantially different results than those obtained in more standard models. In particular, if any monetary steady state equilibria exist, there are generally two of them; one of these has a low capital stock and output level, and it is necessarily a saddle. The other steady state has a high capital stock and output level; either it is necessarily a sink, or its stability properties depend on the rate of money creation. It follows that monetary equilibria can be indeterminate, and nonconvergence phenomena can be observed. Increases in the rate of money creation reduce the capital stock in the high-capital-stock steady state. If the high-capital-stock steady state is not a sink for all rates of money growth, then increases in the rate of money growth can induce a Hopf bifurcation. Hence dynamical equilibria can display damped oscillation as a steady state equilibrium is approached, and limit cycles can be observed as well. In addition, in the latter case, high enough rates of inflation induce the kinds of “crises” noted by Bruno and Easterly (1995): when inflation is too high there are no equilibrium paths approaching the high-activity steady state. Received: November 18, 1995; revised version: March 26, 1996     

Government policy and the probability of coordination failures

This paper introduces an approach to the study of optimal government policy in economies characterized by a coordination problem and multiple equilibria. Such models are often criticized as not being useful for policy analysis because they fail to assign a unique prediction to each possible policy choice. We employ a selection mechanism that assigns, ex ante, a probability to each equilibrium indicating how likely it is to obtain. We show how such a mechanism can be derived as the natural result of an adaptive learning process. This approach leads to a well-defined optimal policy problem, and has important implications for the conduct of government policy. We illustrate these implications using a simple model of technology adoption under network externalities.     

Fiscal policy and indeterminacy in models of endogenous growth

This paper investigates the dynamic behavior of two-sector models of endogenous growth with sector-specific external effects, and government expenditure financed by distortionary taxation. When this type of external effect is combined with a sufficient degree of capital taxation in a Lucas-Uzawa endogenous growth model, continua of equilibria will emerge in the region of the balanced growth paths. By contrast, indeterminacy is not possible when either sector-specific external effects or factor taxation are added to the model in isolation. In the second part of the paper, we demonstrate that if labor supply is endogenous, indeterminacy can be consistent with much lower degrees of increasing returns to scale. Furthermore, certain types of fiscal policy will be associated with multiple balanced growth paths and the existence of a poverty trap. Finally, in the last part of the paper, we demonstrate that if physical capital is employed in both sectors of the economy, indeterminacy will emerge for varying combinations of factor taxation and external effects, even when returns to scale are constant at the social level.     

Balanced-budget rules: Chaos and deterministic sunspots

Schmitt-Grohé and Uribe [11] illustrate that a balanced-budget rule can lead to aggregate instability. In particular, under such a rule it is possible for a steady state to be locally indeterminate, and therefore sunspot equilibria are possible. In this paper, I extend their analysis to investigate the possibility of chaotic equilibria under a balanced-budget rule. A global analysis reveals Euler equation branching which means that the dynamics going forward are generated by a differential inclusion of the form . Each branch alone will not imply interesting dynamics. However, by switching between the branches, I show that the existence of Euler equation branching in an arbitrarily small neighborhood of a steady state implies topological chaos in the sense of Devaney on a compact invariant set with non-empty interior (the chaos is “thick”). Moreover, the chaos is robust to small C¹ perturbations. This branching under a balanced-budget rule occurs independently of the local uniqueness of the equilibrium around the steady state(s).     

Imperfectly competitive cycles with Keynesian and Walrasian features

We consider a multi-sector overlapping generations model with oligopolistic firms in the output markets and wage-setting trade unions in the labour markets. A coordination problem between firms creates multiple temporary equilibria which are either Walrasian or of the Keynesian unemployment type. There exist many deterministic and stochastic equilibrium cycles fluctuating between Keynesian recession and Walrasian boom periods with arbitrarily long phases in each regime. The cycles are in accordance with certain empirical regularities. Money is neutral and superneutral, but appropriate countercyclical fiscal policies stabilize the cycles in a textbook Keynesian way.     

Does commodity money eliminate the indeterminacy of equilibrium?

Previous studies have shown that a random-matching model with divisible fiat money and without constraint on agents’ money inventories possesses a continuum of stationary single-price equilibria. Wallace (J. Econom. Theory 81 (1998) 223) conjectures that the indeterminacy can be eliminated by the use of commodity money. Instead, I find that in a similar random-matching model with dividend-yielding commodity money, a continuum of stationary single-price equilibria exists when the utility of dividend is not too high. This result casts doubt on the conventional belief that the indeterminacy of monetary equilibrium is be caused only by the nominal nature of money.     

Delays and equilibria with large and small information in social learning

The general model of social learning with irreversible investment and endogenous timing is analyzed for any distribution of private informations. Strategic complementarities and multiple equilibria appear which are generated solely by information externalities. Different equilibria generate strikingly different amounts of information. The impacts of various assumptions (bounded beliefs, large number of agents, discrete time and short periods) are examined carefully. The properties are robust to the introduction of observation noise with a continuum of agents.     

Barro-Gordon revisited: Reputational equilibria with inferential expectations

We incorporate inferential expectations into the Barro-Gordon model (Barro and Gordon, 1983a) of time inconsistency and consider reputational equilibria. The range of sustainable equilibria shrinks as the private sector becomes more belief-conservative.     

POLITICS WITH AND WITHOUT POLICY†

When strategic complementarities lead to the existence of multiple equilibria, a change in control of government may lead to changes in economic behavior by consumers or firms even if the different parties pursue the same policies. The existence of multiple equilibria, however, is not necessary to predict partisan effects. Furthermore, electoral uncertainty is not necessary to generate partisan effects; indeed, such uncertainty can dampen the cycle.     

ON DECREASING MARGINAL IMPATIENCE*

One of the most controversial assumptions in endogenous time preference theory is that the degree of impatience is marginally increasing in wealth. We examine the implications of an empirically more relevant specification whereby time preference exhibits decreasing marginal impatience (DMI). With DMI, there are multiple steady‐state non‐satiated and satiated equilibria. In a constant interest rate economy, the non‐satiated steady‐state point is necessarily unstable. In a capital economy with decreasing returns technology, both the non‐satiated and satiated steady‐state points can be saddlepoint stable. The model is used to examine policy implications for the effects of capital taxation and government spending.     

Microeconomic uncertainty and macroeconomic indeterminacy

We propose a stylized intertemporal macroeconomic model wherein the combination of decentralized trading and microeconomic uncertainty (taking the form of privately observed and uninsured idiosyncratic shocks) creates an information problem between agents and generates indeterminacy of the macroeconomic equilibrium. For a given value of the economic fundamentals, the economy admits a continuum of equilibria that can be indexed by the sales expectations of firms at the time of investment. The Walrasian equilibrium is one of these possible equilibria but it is reached only if firms are optimistic enough. With a weaker degree of optimism, equilibrium output, employment and real wages will be lower than in the Walrasian equilibrium. Moreover, the range of possible equilibria will depend positively on the wage elasticity of the labour supply and on the magnitude of the information problem between buyers and sellers (in our case, the variance of the idiosyncratic shocks).Stochastic simulations performed on a calibrated version of the model show that pure demand expectation shocks may generate business cycle statistics that are not inconsistent with the observed ones.     

Business culture and tax evasion: Why corruption and the unofficial economy can persist

This paper shows that business and tax inspection culture can create multiple equilibria. In bad equilibria (high cheating and corruption), increases in penalties or auditing can have perverse impacts and increase cheating. The source of the multiple equilibria is the externalities created by business and tax inspection cultures. As tax evasion and corruption become more common, they become more acceptable and their cost is lowered. A third externality – that between firms and inspectors – is the source of the perverse effect; more cheating by firms is good for bribe-taking inspectors and more bribe-taking inspectors are good for cheating firms.     

PRECAUTIONARY DEMAND FOR LABOUR AND FIRM SIZE

This paper studies firms' job creation decisions in a labour market with search frictions. A simple labour market search model is developed in which a firm can search for a second employee while producing with a first worker, and this creates the equilibrium size distribution of firms. A firm expands employment even if the instantaneous payoff to a large firm is less than that of staying small – a firm has a precautionary motive to expand its size. In addition, this motive is enhanced by a greater market tightness. Because of this effect, firms’ decisions become interdependent – a firm creates a vacancy if it expects other firms to do the same, creating strategic complementarity among firms and thereby self‐fulfilling multiple equilibria. An increase in productivity can cause a qualitative change in labour market tightness and the rate of unemployment.