Harrodian and neoclassical paths in a constrained growth model

We provide a reformulation of disequilibrium growth theory, using the inverse optimum approach under rigidities. The long-run solutions are either Harrodian paths of warranted growth, with increasing unemployment, or inflationary long-run equilibria, with full employment.     

Equilibrium portfolios in the neoclassical growth model

This paper studies equilibrium portfolios in the standard neoclassical growth model under uncertainty with heterogeneous agents and dynamically complete markets. Preferences are purposely restricted to be quasi-homothetic. The main source of heterogeneity across agents is due to different endowments of shares of the representative firm at date 0. Fixing portfolios is the optimal equilibrium strategy in stationary endowment economies with dynamically complete markets. However, when the environment displays changing degrees of heterogeneity across agents, the trading strategy of fixed portfolios cannot be optimal in equilibrium. Very importantly, our framework can generate changing heterogeneity if and only if either minimum consumption requirements are not zero or labor income is not zero and the value of human and non-human wealth are linearly independent.     

Corruption in a neoclassical growth model with a non-convex production function

In this article, we analyze the bureaucrats’ corruption problem in a simple neoclassical growth model with a non-convex production function. In this model, we consider direct relations between product (income) taxation and corruption, and between corruption and public goods provision. As the main result, we show that the optimal consumption growth path in this economy is higher in a non-corrupt environment than in a corrupt environment and the higher the proportion of corrupt bureaucrats, the higher the cost of corruption to society.     

On capital accumulation paths in a neoclassical stochastic growth model

Summary. Boldrin and Montrucchio [2] showed that any twice continuously differentiable function could be obtained as the optimal policy function for some value of the discount parameter in a deterministic neoclassical growth model. I extend their result to the stochastic growth model with non-degenerate shocks to preferences or technology. This indicates that one can obtain complex dynamics endogenously in a wide variety of economic models, both under certainty and uncertainty. Further, this result motivates the analysis of convergence of adaptive learning mechanisms to rational expectations in economic models with (potentially) complicated dynamics. Received: June 21, 1996; revised version: October 31, 1996     

Corruption in a neoclassical growth model with a non-convex production function: comment

In Pereira and da Cruz Vieira (Int Rev Econ 57:335?C346, 2010), it is claimed that previous studies on corruption using the neoclassical growth model in the Ramsey tradition typically exploited a convex production function with productive government spending. Moreover, a non-convex intensive form technology representation is proposed as derived from the (presumptive) strictly convex function in levels. We show that none of these claims are true, for the general function is neither convex nor concave and fails to be linearly homogeneous. As a consequence, all the findings derived in Pereira and da Cruz Vieira (2010) are not peculiar to non-convex production functions.     

On the neoclassical growth model with non-constant discounting

We study the neoclassical growth model with non-constant discounting. We do not assume specific functional forms for discounting and demonstrate that the competitive economy always performs better than the planning economy.     

Real purchasing power in the neoclassical monetary growth model

In the one sector neoclassical monetary growth model, the balanced growth path under perfect foresight is a saddle point. The paper demonstrates that this instability problem can be resolved by entering real purchasing power into the liquidity preference function as well as into the consumption function. This process allows an additional mechanism based on income effects in money demand by which a change in real balances can influence the growth path. Stability now depends critically on the size of such income effects given wealth effects from money demand. If stability is restored, the nature of the traditional non-neutrality of money must be qualified.     

International capital flows and convergence in the neoclassical growth model

To analyze how capital mobility affects economic growth and convergence, this paper will use the analytical solution to the neoclassical growth model with a constant saving rate, beginning with the closed-economy Solow growth model. An introduction to international capital flows will follow. In an open economy, free capital mobility assures an instantaneous convergence in interest rates that, under a perfect competence situation, implies the instantaneous convergence in income levels among homogeneous countries. Taking into account this question and to reconcile these results with empirical evidence, that is, with the gradual convergence observed, the assumption is introduced that in spite of free capital mobility, there are international credit restrictions. In this case, we will show how the rate of convergence depends on the international capital inflows received. The authors would like to thank Maria Isabel Abradelo for her help in translating this paper.     

Rationality of liquidity preferences and the neoclassical monetary growth model

In the neoclassical monetary growth literature, the rationality condition in the sense of freedom from money illusion is imposed on the demand for nominal balances by assuming that this demand is homogenous of degree one in nominal income and nominal wealth. We argue that the price level should enter into this demand as a separate argument, and that the rationality condition should require that the demand be homogenous of degree one in nominal income, nominal wealth, and the price level. Then, the symmetry issue of the real purchasing power is consequential to the structure of the neoclassical monetary growth model.     

Arrow's equivalency theorem in a model with neoclassical firms

Summary. In this paper we consider a two-period general equilibrium model with uncertainty and real assets as financial instruments. The novelty of the analysis is that real assets are the stocks of neoclassical firms, so that both returns and yields depend on anticipated spot goods prices (and, of course, the yield matrix may change rank with prices). Assuming that financial markets are potentially complete, we establish generic existence of financial equilibrium and prove that there exists a dense set of economies such that financial equilibria are efficient.Received: 19 April 2001, Revised: 23 April 2003, JEL Classification Numbers: C60, D51, G10, D60.I am extremely grateful to Dave Cass for drawing my attention to this problem and inspiring me to work on it as well as for many stimulating discussions. I also benefited from discussions with H. Polemarchakis, M. Stinchcombe, and A. Villanacci. I am thankful to the anonymous referee of the first versions of the paper for thoughtful comments and suggestions, and to participants of a recruiting seminar at the University of Texas at Austin (January 2001), the Conference on Economic Design SED 2000, Istanbul, Turkey (June 2000), and Inter-University Student Conference, New York University, New York (May 2000).     

An optimal monetary policy in an aggregate neoclassical model of economic growth

This paper shows that the usual Ramsey-Cass-Koopmans optimal-growth theory is applicable to decentralized monetary economies and illustrates, with a simple model, how optimal growth can be achieved via a simple monetary policy. Securities and the endogeneity aspect of the money supply are explicitly introduced. This paper shows that the steady state under optimal growth is a saddle point, that the dynamic behavior of the capital-labor ratio and real per capita consumption is identical to that found in the usual literature in which money is not introduced, and that the optimal monetary policy is “counter-cyclical.”     

Technological catch-up: Gradual diffusion of technology and convergence in the neoclassical growth model

In this paper, I study the effects of the international gradual transmission of technology on the convergence processes among countries. In this way, the international gradual diffusion of technology makes possible a greater potential improvement capacity to the less developed country in its technological level. When this hypothesis is included in the Solow-Swan growth models, the paper shows that the convergence hypothesis will now be maintained only in the growth rates since a gap in income levels will remain in the long run. That conditional convergence will be explained by two factors: the diminishing returns for cumulative factor and the gradual diffusion of technology. I will finish this paper with empirical evidence of these two factors explaining convergence.     

On Ramsey's conjecture: efficient allocations in the neoclassical growth model with private information

In his seminal paper of 1928, Ramsey conjectured that if agents discounted the future differently, in the long run all agents except the most patient would live at the subsistence level. The validity of this conjecture was investigated in different environments. In particular, it has been confirmed in the neoclassical growth model with dynamically complete markets. This paper studies this conjecture in a version of this model that includes private information and heterogeneous agents. A version of Bayesian implementation is introduced and a recursive formulation of the original allocation problem is established. Efficient allocations are renegotiation-proof and the expected utility of any agent cannot go to zero with positive probability if the economy does not collapse. If the economy collapses all agents will get zero consumption forever. Thus, including any degree of private information in the neoclassical growth model will deny Ramsey's conjecture, if efficient allocations are considered.     

Dualism and cross-country growth regressions

This paper develops empirical growth models suitable for dual economies, and studies the relationship between structural change and economic growth. Changes in the structure of employment will raise aggregate productivity when the marginal product of labor varies across sectors. The models in the paper incorporate this effect in a more flexible way than previous work. Estimates of the models imply sizeable marginal product differentials, and indicate that the reallocation of labor makes a significant contribution to the international variation in productivity growth.     

LISREL growth model on direct and indirect effects using cross-country data

Many papers have analyzed the factors affecting economic growth. However, these have concentrated on direct effects and ignored indirect effects through other variables in the model. This study investigates direct and indirect effects of various factors on growth with a causal growth model using LISREL (LInear Structural RELations) for a sample of 105 countries over the period of 1975–2002. Results suggest that ignoring the indirect effects of productivity growth, geography and economic development on economic growth may lead to a considerable underestimation of their ‘true’ total effects on growth. While the importance of the indirect effects of productivity growth and geography relative to their direct effects changes with the estimated model, the relative importance of the indirect effect of economic development on growth is found to be robust to different model specifications.     

Conditions for indeterminacy and thresholds in neoclassical growth models

This paper considers externalities and investigates which general properties and respectively their magnitudes induce complex behavior like thresholds and indeterminacy (and cycles). The objective is to obtain general mechanisms within a general setting in order to complement the much advanced but model specific literature. It turns out that these arithmetic and simultaneously economic conditions for thresholds or indeterminacy require complementarity and non-moderate dynamic social influence. In other words, complexities can be related (necessary and sufficient) to a familiar static property that social interactions turn the (stationary) demand for the private stock into a Giffen good. Indeterminacy requires in addition ‘low’ subjective discounting and proper interactions between control, stock and externality. These conditions provide an easy way to construct models that allow for the targeted outcome, stability, thresholds or indeterminacy.