(In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy

This paper sets up a monetary endogenous growth model with Benhabib–Farmer production externalities for an open economy, and then uses it to investigate the possibility of indeterminacy. Moreover, the paper examines how the monetary authorities will set its optimal anchor of the money growth rate from the viewpoint of welfare maximization. Several main findings emerge from the analysis. First, when investment does not involve adjustment costs, the monetary equilibrium is locally determinate regardless of the strength of the labor externality and the extent of world capital market imperfections. Second, in the presence of investment adjustment costs, the monetary equilibrium may exhibit indeterminacy when the aggregate increasing returns-to-scale in production is sufficiently strong. Third, in the presence of world capital market imperfections, the Friedman rule of a zero nominal interest rate fails to be optimal. Fourth, in the face of perfect world capital markets, the optimal nominal money growth rate is maintained at the rate that is conformable to the Friedman rule, regardless of whether investment involves adjustment costs or not.     

Knowledge of growth and the growth of knowledge

The central theme of this address is the complicated relationship between the growth of the economy and the growth of knowledge. This theme is explored with the help of a single concept “restless capitalism” which is used to capture the idea that capitalism in equilibrium is a contradiction in terms precisely because the growth of knowledge cannot be meaningfully formulated as the outcome of a constellation of equilibrating forces. This theme is explored through a discussion of growth accounting, the relationship between innovation, markets and institutions and, as an example, the development of innovation in the field of ophthalmology. We also discuss some pioneering contributions made by Simon Kuznets and Arthur Burns to the discussion of evolutionary growth. From this Schumpeterian perspective we see the economy as an ensemble not an aggregate entity and so see more clearly the importance of microdiversity in the relationship between growth of knowledge and growth of the economy.     

Equilibrium capital taxation in open economies under commitment

This paper analyzes equilibrium capital taxation in open economies with strategic interaction in a neo-classical growth model. Under perfect commitment, I show that non-cooperative capital taxes are zero in the long run for a large open economy, thereby generalizing the result previously established only for the special cases of a closed and a small open economy. This does not represent a race to the bottom, though, since the result is independent of the degree of capital mobility, the number of countries, or a country׳s size relative to the rest of the world. Moreover, when countries cooperate, they still set capital taxes to zero in the long run. These outcomes are robust to different equilibrium specifications, the inclusion of endogenous government spending, and heterogeneous agents and non-linear labor income taxation. Governments find it optimal to implement the efficient capital allocation in the long run, both in a closed and an open economy; this trumps incentives to tax foreigners’ domestic capital holdings by raising capital taxes and attracting capital from abroad by lowering capital taxes.     

International Factor Mobility, Government Size and Welfare

An examination of the available data reveals that the size of government varies considerably across time and countries. By making use of a simple general equilibrium model, this paper demonstrates that size of government is affected by the availability of capital and labour within an economy. Specifically, this paper utilises a model of a closed economy that produces one-private and one-public good. Both goods are produced by means of capital and labour. Production functions are subject to constant returns to scale and perfect competition prevails in all markets. The elasticity of substitution between the public and the private good is greater than unity and there is no international factor mobility in the initial equilibrium. The size of government is measured by total spending on the public good as a proportion of the total expenditure on the private and public goods. It is shown that capital (labour) inflow can decrease (increase) the size of government. Capital inflow increases welfare if the private good is relatively capital intensive whereas labour inflow increases welfare if the public good is relatively capital intensive.     

Self-fulfilling patience

This paper explores macroeconomic implications of investment in patience in a standard neoclassical growth model with Becker-Mulligan endogenous time preferences. The endogenous discount rate acts as a new margin for inter-temporal decisions, in addition to the standard margin that hinges on the marginal return of capital. This time preference margin alters the equilibrium dynamics and stability of the neoclassical growth model substantially. When the discount rate is positive, there may exist multiple steady states that are either saddle-point stable or unstable. When the discount rate is negative, the unique steady state is locally indeterminate due to self-fulfilling patience investment. Interestingly, the existence of the local indeterminacy does not need any externality. When the discount rate is zero, various types of bifurcations can happen, leading to rich equilibrium dynamics such as limit cycles and chaos. We show that opening up the closed economy can cause aggregate instability.     

Investment,interest rate rules,and equilibrium determinacy

Summary. By adding endogenous investment to a flexible-price, money-in-the-utility-function model, this paper studies the role that physical capital plays in stabilizing the real side of the economy when the monetary authority follows interest-rate feedback rules. We show that with inelastic labor supply equilibrium uniqueness is ensured under both active and passive monetary policies. For the case where money affects both preferences and technology, the uniqueness result remains true under active monetary policy. With endogenous labor supply, the uniqueness result holds again regardless of the stance of monetary policies for the case with separable leisure, but indeterminacy remains likely under both active and passive monetary policies when leisure is nonseparable.Received: 19 December 2001, Revised: 12 May 2003, JEL Classification Numbers: E52, O42.We are grateful to Jess Benhabib and an anonymous referee for helpful comments and suggestions. Correspondence to: C.K. Yip     

National labor markets, international factor mobility and macroeconomic instability

We consider a standard two-country environment, where one of the two countries has a rigid labor market, and analyze how global economic integration affects the economies with respect to expectations-driven cycles and steady state welfare. We show that by allowing free capital mobility, equilibrium indeterminacy is exported from the rigid wage country to the world economy. If further liberalization is permitted, by allowing free movements of labor, the scope for indeterminacy is reduced and open labor markets may produce a stabilizing effect on the global macro-economy. Whether this also implies higher welfare in the long run depends on differentials in average firm size across countries, which determines the direction of migration flows.     

Genetics, family structure, and economic growth

Recent biomedical research shows that roughly three-quarters of cognitive abilities are attributable to genetics and family environment. This paper presents a growth model that characterizes the role of the intergenerational transmission of genes and the effect of family environment on growth trajectories. If the average human or physical capital stocks are sufficiently low, the model shows that the economy will be caught in a poverty trap. Conversely, countries with more resources will converge to a bala nced growth path where the average rate of genetic transmission of skills from parents to children determines the long-run rate of output growth. Increased genetic diversity (or income inequality) is shown to raise the fertility rate and reduce output growth in the transitional dynamics. Thus, nature and nurture are able to explain a variety of countries' growth experiences.     

Status Preference, Wealth and Dynamics in the Open Economy

Abstract. The implications of status preference in a simple open economy model are investigated in this paper. The open economy is modeled as a continuum of identical representative agents who have preferences over consumption and status. In the paper status is identified as relative wealth, which takes the form of relative holdings international financial assets. A symmetric macroeconomic equilibrium is derived in which status is the source of transitional dynamics for domestic consumption and the current account balance. This result illustrates another way to combine transitional dynamics with interior equilibria in the small open economy Ramsey model with perfect capital mobility. We also show that status preference plays a critical role in influencing the open economy's adjustment to government expenditure and world interest rate shocks.     

Indeterminate Balanced Growth under Habit Persistence and Fiscal Policies

This paper studies a dynamic general equilibrium model with habit persistence in preferences and fiscal policies of taxation and expenditures. Preference takes a subtractive form of habits (the marginal rate of substitution between the agent's own consumption and habit stocks is constant), and technology is linear in aggregate capital (the economy grows without a limit in the long run). We find a continuum of competitive equilibrium paths in conjunction with a unique balanced growth path in the growing economy, in which habits represent both envy/jealousy and altruism/admiration. In addition, in the social optimum under second-best fiscal policies, we show the existence of indeterminacy in transitional allocations along with a unique balanced growth path. Thus, we find that the introduction of habits influences the patterns of the transitional paths but has no impact on the balanced growth path in either competitive or social optimum allocations. The second-best fiscal policy, therefore, restores the socially optimal balanced growth rate but fails to select the unique transitional path among multiple competitive equilibrium paths in the imperfectly competitive economy.     

Temporary stabilization with capital controls

This paper studies both positive and normative aspects of quantity-based capital controls in a small open economy undergoing a temporary inflation stabilization plan. In the model, capital controls are implemented by choosing two policy variables: a ceiling on the private sector debt and a terminal date for removing controls; the date on which controls trigger and hence its duration are endogenously determined. Equilibrium dynamics are characterized for all feasible range of debt ceilings and durations. Temporary controls that end with the collapse of the stabilization plan are shown to mitigate consumption boom-bust cycles and dominate allocations under perfect capital mobility, thus providing a “second-best” rationale for employing them. For controls that are prolonged beyond the collapse of the stabilization plan, equilibria exist even when the debt ceiling is above the debt that accumulates under perfect capital mobility. Here, if the ceiling is sufficiently low, controls mitigate consumption cycles. Conversely, a sufficiently high ceiling amplifies consumption cycles. For prolonged controls, there is a critical value of debt ceiling below (above) which the welfare is higher (lower) relative to the perfect capital mobility case. Finally, for a given debt ceiling, prolonged controls rank lower in welfare than those that end with the stabilization plan. We would like to thank two anonymous referees and the editor whose suggestions have helped us improve the paper substantially. The usual disclaimer applies.     

The power of ESS: An experimental study

Abstract. Our experimental design mimics a traditional evolutionary game framework where players are matched pairwise to play a symmetric 33 bimatrix game that has two Nash equilibria. One equilibrium is an evolutionary stable state, or ESS; the other is an equilibrium in dominated strategies. Our primary experimental result is the observation that the ESS becomes extremely attractive when subjects have minimal information about the payoff functions, although the dominated equilibrium assures the highest equilibrium payoff. The attractiveness of the ESS is only moderate when players are completely informed about the 33 payoff matrix. Correspondence to: S.K. Berninghaus     

Stochastic Relation between Money and Capital in an Economy with Spatially Separated Markets

This paper examines the stochastic relationship between money and capital in an economy with spatially separated markets. The new ingredient of the model is that trades between markets may be desirable but are eliminated by market separation. When this cross-market friction is operative, aggregate capital is negatively correlated with and only with contemporaneous money growth, given past capital stocks. When the cross-market friction is not operative, aggregate capital can be positively correlated with contemporaneous money growth and current money growth has direct predictive power on future aggregate capital through its effect on the distribution of capital among agents. Therefore, in a more fragmented economy, aggregate capital is more likely to be negatively correlated with money growth and more unpredictable by past money growth.Journal of Economic LiteratureClassification Numbers: E40, E50     

Endogenous fluctuations in the demand for education

Abstract. Enrollment rates to higher education reveal a quite large variation over time which cannot be explained by productivity shocks alone. We develop a human capital investment model in an overlapping generations framework that features endogenous fluctuations in the demand for education. Agents are heterogeneous in their beliefs about future wage differentials. An evolutionary competition between the heterogeneous beliefs determines the fraction of the newborn generation having a certain belief. Costly access to information on the returns to education induces agents to use potentially destabilizing backward looking prediction rules. Only if previous generations experience regret about their human capital investment decisions, will agents choose a more sophisticated prediction rule that dampens the cycle. Access to information becomes key for stable flows to higher education. RID="*" ID="*"We would like to thank Cars Hommes, Florian Wagener, seminar participants at the University of Amsterdam, participants of the workshop on ‘Skill Needs and Labor Market Dynamics’ at the Wissenschaftszentrum Berlin für Sozialforschung (WZB) for helpful discussions, and an editor of this Journal and three anonymous referees for their comments. Tuinstra's research is supported by the Netherlands Organisation for Scientific Research (NWO) under a MaG-Pionier grant. Neugart acknowledges financial support from the German Ministry of Education. Parts of the research were done while Tuinstra was visiting the WZB and when Neugart was visiting CeNDEF. Correspondence to: The research for this paper was done while the first author was affiliated with the Wissenschaftszentrum Berlin für Sozialforschung.     

Indeterminacy with almost constant returns to scale: capital-labor substitution matters

Summary. This paper shows, in the benchmark one-sector Ramsey model, that indeterminacy and sunspots may occur when externalities are small, provided that capital and labor are more substitutable than in the usual Cobb-Douglas specification. Key to the results are the general formulations of both preferences and technology that we consider. In particular, indeterminacy is shown to occur under almost constant returns to scale provided that both concavity of utility for consumption is small enough and labor supply is close to indivisible. An important implication of the results is that, when labor supply is positively sloped, indeterminacy does not necessarily require the equilibrium wage-hours locus to be upward sloping.Received: 16 June 2004, Revised: 8 March 2005, JEL Classification Numbers: C62, D58, D91, E32.This is a companion paper of “Sunspots in real business-cycle models: completing calibration”, with new results that have emerged from extending the analysis contained in the latter article. The author would like to thank, without implicating, Bruno Decreuse, Andrew Postlewaite, Alain Venditti, Yi Wen, participants at the 2003 Society for Economic Dynamics Meeting, as well as C.D. Aliprantis, the Editor, and an anonymous referee for useful comments and suggestions.     

Imperfect competition and capital accumulation: the role of price normalization

We consider a capital-accumulation model with infinitely lived households and two production sectors. The intermediate-good sector is characterized by perfect competition, a constant-returns-to-scale technology, and production externalities. The final-good sector is a monopoly operating under constant returns to scale. We analyze the general equilibrium in the sense of Gabszewicz and Vial [Journal of Economic Theory (1972) 4: 381–400] for this economy and different price-normalization rules. It is shown that the qualitative behavior of the equilibrium paths depends crucially on the chosen normalization rule. In particular, whether equilibria are monotonic or oscillating and whether indeterminacy occurs or not may depend on the choice of the numeraire.     

Monetary policy and multiple equilibria with constrained investment and externalities

This paper focuses on two mechanisms under which interest-rate feed-back rules induce local indeterminacy in a closed economy with capital accumulation: arbitrage activity and the pricing channel. It shows that constrained investment, in the sense that it requires liquidity or that adjustment to the stock of capital is costly, is enough to induce indeterminacy if monetary policy follows a strictly passive interest rate rule. Determinacy of equilibrium is ensured under an active monetary policy stance. These results change when production externalities are introduced into the model so as to mimic the pricing channel in New Keynesian models. In this case, a policy stance that ensures determinacy is either active or strictly passive. In view of the contradicting results for the passive stance and the similar results for the active stance it is recommended that central banks act according to the active stance.     

Quantitative growth effects of subsidies in a search theoretic R&D model

Should government subsidize R&D and does it matter how these subsidies are allocated? We examine these questions in a dynamic model where R&D is described as sequential sampling from a distribution of new ideas. Successful discoveries affect future available resources and incentives for further R&D. Consequently, there may be under-investment in R&D. We study the effect of government interventions aimed at fostering growth through R&D. Calibrating the model with aggregate data from the Israeli business sector allows us to quantitatively compare two forms of support resembling those actually used to encourage R&D in the Israeli business sector: (i) an unrestricted subsidy that may be used at the recipients' discretion to finance R&D or other investments, (ii) a subsidy earmarked by the government for R&D activities only. While there is no theoretical way to determine which of the two subsidies will have a greater impact on search for new ideas and growth, we find that in the calibrated economy both subsidies have a significant but similar impact on the economy's output and TFP growth rates. Accordingly, in the case of the Israeli business sector, the incentives to conduct R&D were sufficiently strong, and no R&D-specific encouragement was needed. However, a sensitivity analysis reveals that for economies characterized by other parameter values this result may not be true. Correspondence to: B. Bental     

Variety,growth and demand

A dynamic model of demand compatible with a changing composition of the economic system is presented in this paper. Consumers are not expected to have completely formed preferences for radically new objects of consumption. Consumers adopt new goods or services ,created by innovation, only if three barriers are overcome: 1) a critical (minimum) level of income, 2) critical human capital, 3) critical fitness. However, even a new good or service with a fitness higher than that of pre-existing ones, will not be immediately adopted. Consumers'.limited knowledge will slow down the rate of adoption of any new good or service.     

Effects of uncertain lifetime and annuity insurance on capital accumulation and growth

Summary.  This paper studies the effects of uncertain lifetime on capital accumulation and growth and also the sensitivity of those effects to the existence of a perfect annuities market. The model is an overlapping generations model with uncertain lifetimes. The technology is convex and such that the marginal product of capital is bounded away from zero. A contribution of this paper is to show that the existence of accidental bequests may lead the economy to an equilibrium that exhibits asymptotic growth, which is impossible in an economy with a perfect annuities market or with certain lifetimes. This paper also shows that if individuals face a positive probability of surviving in every period, they may be willing to save at any age. This effect of uncertain lifetime on savings may also lead the economy to an equilibrium exhibiting asymptotic growth even if there exists a perfect annuities market. Received: April 17, 1996; revised version: December 9, 1997