Venditti

Publications

Competitive equilibrium cycles for small discounting in discrete-time two-sector optimal growth modelsJournal articleAlain Venditti, Studies in Nonlinear Dynamics & Econometrics, Volume 23, Issue 4, pp. 1-14, 2019

We study the existence of endogenous competitive equilibrium cycles under small discounting in a two-sector discrete-time optimal growth model. We provide precise concavity conditions on the indirect utility function leading to the existence of period-two cycles with a critical value for the discount factor that can be arbitrarily close to one. Contrary to the continuous-time case where the existence of periodic-cycles is obtained if the degree of concavity is close to zero, we show that in a discrete-time setting the driving condition does not require a close to zero degree of concavity but a symmetry of the indirect utility function’s concavity properties with respect to its two arguments.

Growth and Public Debt: What Are the Relevant Trade‐Offs?Journal articleArnaud Cheron, Kazuo Nishimura, Carine Nourry, Thomas Seegmuller et Alain Venditti, Journal of Money, Credit and Banking, Volume 51, Issue 2-3, pp. 655-682, 2019

The interplay between growth and public debt is addressed considering a Barro‐type (1990) endogenous growth model where public spendings are financed through taxes on income and public debt. The government has a target level of public debt relative to GDP, and the long‐run debt‐to‐GDP ratio is used as a policy parameter. We show that when debt is a large enough proportion of GDP, two distinct balanced‐growth paths (BGPs) may coexist, one being indeterminate. We exhibit two types of important trade‐offs associated with self‐fulfilling expectations. First, we show that the lowest BGP is always decreasing with respect to the debt‐to‐GDP ratio while the highest one is increasing. Second, we show that the highest BGP, which provides the highest welfare, is always locally indeterminate while the lowest is always locally determinate. Therefore, local and global indeterminacy may arise and self‐fulfilling expectations appear as a crucial ingredient to understand the impact of debt on growth, welfare, and macroeconomic fluctuations. Finally, a simple calibration exercise allows to provide an understanding of the recent experiences of many OECD countries.

On sunspot fluctuations in variable capacity utilization modelsJournal articleFrédéric Dufourt, Alain Venditti et Rémi Vivès, Journal of Mathematical Economics, Volume 76, Issue C, pp. 80-94, 2018

We investigate the extent to which standard one sector RBC models with positive externalities and variable capacity utilization can account for the large hump-shaped response of output when the model is submitted to a pure sunspot shock. We refine the Benhabib and Wen (2004) model considering a general type of additive separable preferences and a general production function. We provide a detailed theoretical analysis of local stabilities and local bifurcations as a function of various structural parameters. We show that, when labor is infinitely elastic, local indeterminacy occurs through Flip and Hopf bifurcations for a large set of values for the elasticity of intertemporal substitution in consumption, the degree of increasing returns to scale and the elasticity of capital–labor substitution. Finally, we provide a detailed quantitative assessment of the model and conclude with mixed results. We show that although the model is able theoretically to generate a hump-shaped dynamics of output following an i.i.d. sunspot shock under realistic parameter values, the hump is too persistent for the model to be considered fully satisfactory from an empirical point of view.

Nonseparable preferences do not rule out aggregate instability under balanced-budget rules: a noteJournal articleNicolas Abad, Thomas Seegmuller et Alain Venditti, Macroeconomic Dynamics, Volume 21, Issue 1, pp. 259-277, 2017

We investigate the role of nonseparable preferences in the occurrence of macroeconomic instability under a balanced-budget rule where government spending is financed by a tax on labor income. Considering a one-sector neoclassical growth model with a large class of nonseparable utility functions, we find that expectations-driven fluctuations occur easily when consumption and labor are Edgeworth substitutes or weak Edgeworth complements. Under these assumptions, an intermediate range of tax rates and a sufficiently low elasticity of intertemporal substitution in consumption lead to instability.

Introduction to international financial markets and banking systems crisesJournal articleRaouf Boucekkine, Kazuo Nishimura et Alain Venditti, Journal of Mathematical Economics, Volume 68, Issue C, pp. 87-91, 2017

This note introduces to the literature streams explored in the special section on international financial markets and banking systems crises. All topics tackled are related to the Great Recession. A brief overview of the research questions and related literatures is provided.

Sunspots and Non-Linear Dynamics – Essays in honor of Jean-Michel GrandmontBookStudies in Economic Theory, Alain Venditti, Kazuo Nishimura et Nicholas C. Yannelis (Eds.), 2017, Volume 31, 409 pages, Springer International Publishing, 2017

This book presents the state-of-the-art in non-linear dynamics and sunspots. These two topics have been the core of an international conference on instability and public policies in a globalized world, organized at Aix-Marseille School of Economics and GREQAM in honor of Jean-Michel Grandmont. He has made significant contributions on general equilibrium theory, monetary theory, learning, aggregation, non-linear dynamics and sunspots. This book assembles contributions by Jean-Michel Grandmont's colleagues, students and friends that have been influenced by his works and that are at the frontier of research in this domain today.

Sunspot Fluctuations in Two-Sector Models with Variable Income EffectsBook chapterFrédéric Dufourt, Kazuo Nishimura, Carine Nourry et Alain Venditti, In: Sunspots and Non-Linear Dynamics - Essays in Honor of Jean-Michel Grandmont, K. Nishimura, A. Venditti et N. C. Yannelis (Eds.), 2017, Volume 31, pp. 71-96, Springer-Verlag, 2017

We analyze a version of the Benhabib and Farmer (1996) two-sector model with sector-specific externalities in which we consider a class of utility functions inspired from the one considered in Jaimovich and Rebelo (2009) which is flexible enough to encompass varying degrees of income effect. First, we show that local indeterminacy and sunspot fluctuations occur in 2-sector models under plausible configurations regarding all structural parameters—in particular regarding the intensity of income effects. Second, we prove that there even exist some configurations for which local indeterminacy arises under any degree of income effect. More precisely, for any given size of income effect, we show that there is a non-empty range of values for the Frisch elasticity of labor and the elasticity of intertemporal substitution in consumption such that indeterminacy occurs. This contrasts with the results obtained in one-sector models in both Nishimura et al. (2009), in which it is shown that indeterminacy cannot occur under either GHH and KPR preferences, and in Jaimovich (2008) in which local indeterminacy only arises for intermediary income effects.

Introduction (Chapter1)Book chapterKazuo Nishimura, Alain Venditti et Nicholas C. Yannelis, In: Sunspots and Non-Linear Dynamics - Essays in Honor of Jean-Michel Grandmont, K. Nishimura, A. Venditti et N. C. Yannelis (Eds.), 2017, Volume 31, pp. 1-11, Springer-Verlag, 2017

This chapter presents a brief overview of the career and main contributions of Professor Jean-Michel Grandmont. It also provides a summarized description of the 16 papers written in his honor by his friends and colleagues.

Collateral and growth cycles with heterogeneous agentsJournal articleStefano Bosi, Mohanad Ismael et Alain Venditti, Journal of Macroeconomics, Volume 48, Issue C, pp. 327-350, 2016

We investigate the effects of collateral and monetary policy on economic growth within a Ramsey equilibrium model where agents have different discount factors. Introducing liquidity constraints in segmented markets where (poor) impatient agents without collateral have limited access to credit, we study their implications in terms of welfare and business cycles (based on deterministic cycles through bifurcations and self-fulfilling prophecies). We find that an accommodative monetary policy may be growth-enhancing and welfare-improving (through the inequality reduction) while making unpleasant fluctuations more likely. Conversely, a regulation reinforcing the role of collateral and tempering the financial market imperfections may stimulate the economic growth while pursuing the goal of stabilization.

Public Spending as a Source of Endogenous Business Cycles in a Ramsey Model with Many AgentsJournal articleKazuo Nishimura, Carine Nourry, Thomas Seegmuller et Alain Venditti, Macroeconomic Dynamics, Volume 20, Issue 02, pp. 504-524, 2016

We introduce public spending, financed through income taxation, into the Ramsey model with heterogeneous agents. Public spending as a source of welfare generates more complex dynamics. In contrast to previous contributions focusing on similar models but with wasteful public spending, limit cycles through Hopf bifurcation and expectation-driven fluctuations appear if the degree of capital–labor substitution is high enough to be compatible with capital income monotonicity. Moreover, unlike frameworks with a representative agent, our results do not require externalities in production and are compatible with a weakly elastic labor supply with respect to wage.