Essays In Macroeconomics And Nonlinear Dynamics

Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.

This thesis investigates topics in macroeconomics with nonlinear dynamics as their inherent feature. It aims to further the understanding of the connection between the financial sector and economic fluctuations, challenges of monetary policy in a low interest rate environment and how to mitigate the macroeconomic consequences of a pandemic. The first chapter investigates the connection between the shadow banking sector and the vulnerability of the economy to a financial crisis. Motivated by the build-up of shadow bank leverage prior to the Great Recession, I develop a nonlinear macroeconomic model that features excessive leverage accumulation and show how this can cause a run. Introducing risk-shifting incentives to account for fluctuations in shadow bank leverage, I use the model to illustrate that extensive leverage makes the shadow banking system runnable, thereby raising the vulnerability of the economy to future financial crises. The model is taken to U.S. data with the objective of estimating the probability of a run in the years preceding the financial crisis of 2007-2008. The second chapter, joint with Francesco Bianchi and Leonardo Melosi, is motivated by the observation that the Federal Reserve Bank has been systematically undershooting its 2% inflation target in the past twenty years. This deflationary bias is a predictable consequence of the current symmetric monetary policy strategy that fails to recognize the risk of encountering the zero-lower-bound. An asymmetric rule according to which the central bank responds less aggressively to above-target inflation corrects the bias, improves welfare, and reduces the risk of deflationary spirals. The third chapter, joint with Matthieu Darracq Paries and Christoffer Kok, analyses the risk that an intended monetary policy accommodation might actually have contractionary effects in a low interest rate environment. We demonstrate that the risk of hitting the rate at which the effect reverses depends on the capitalization of the banking sector by using a nonlinear macroeconomic model. The framework suggests that the reversal interest rate is around −1% p.a. in the Euro Area. We show that the possibility of the reversal interest rate creates a novel motive for macroprudential policy. The fourth chapter, joint with Leonardo Melosi, studies contact tracing in a new macro-epidemiological model with asymptomatic spreaders. Contact tracing is a testing strategy that aims to reconstruct the infection chain of newly symptomatic agents. We show that contact tracing may be insufficient to stem the spread of infections because agents fail to internalize that their decisions increase the number of traceable contacts to be tested in the future. We provide theoretical underpinnings to the risk of becoming infected in macro-epidemiological models.

'Buz Brock's contribution to economic theory in general and economic dynamics in particular are characterized by an unmatched richness of ideas and by deep theoretical, empirical as well as computational analysis. Brock's contribution to economic dynamics range from one extreme of the field, global stability of stochastic optimal growth models, to another extreme, market instability and nonlinearity in economic and financial modelling and data analysis. But his work also includes environmental and economic policy issues and, more recently, the modelling of markets as complex adaptive systems. This collection of essays reflects Brock's richness of ideas that have motivated economists for more than three decades already and will continue to influence many economists for the next decades to come.' - Cars H. Hommes, University of Amsterdam, The Netherlands 'Buz Brock has been, from the beginning of his career, one of the most original thinkers in dynamic economics. His early work showed that growth with random elements could be studied effectively and above all posed exactly the right questions. His more recent work has brought complexity theory to the fore and shown its implications for financial and other markets. In the process, he has both introduced and used econometric tools to show the relevance of his work to empirically observed phenomena. It is very useful to have his work in collected form.' - Kenneth J. Arrow, Stanford University, US This outstanding collection of William Brock's essays illustrates the power of dynamic modelling to shed light on the forces for stability and instability in economic systems. The articles selected reflect his best work and are indicative both of the type of policy problem that he finds challenging and the complex methodology that he uses to solve them. Also included is an introduction by Brock to his own work, which helps tie together the main aspects of his research to date.

Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.

This book reflects the state of the art on nonlinear economic dynamics, financial market modelling and quantitative finance. It contains eighteen papers with topics ranging from disequilibrium macroeconomics, monetary dynamics, monopoly, financial market and limit order market models with boundedly rational heterogeneous agents to estimation, time series modelling and empirical analysis and from risk management of interest-rate products, futures price volatility and American option pricing with stochastic volatility to evaluation of risk and derivatives of electricity market. The book illustrates some of the most recent research tools in these areas and will be of interest to economists working in economic dynamics and financial market modelling, to mathematicians who are interested in applying complexity theory to economics and finance and to market practitioners and researchers in quantitative finance interested in limit order, futures and electricity market modelling, derivative pricing and risk management.

"This thesis explores the highly nonlinear profile of the modern financial world and assesses its relevance in monetary policy conduct and macroprudential supervision. It focuses on three possible different origins of nonlinear structures. Firstly, we study the role of the heterogeneous and boundedly rational expectations in driving the aggregate economic dynamics. Secondly, we investigate the irregularities of probability distributions and their consequences for quantitative inference. Thirdly, we assess the behavior of the global asset network through a prism of complex systems. Because of its extraordina1y relevance in the real world, a lot of attention is being paid to the banking side of the economy. The practical goal of this thesis is to provide the tools and general directions on how to incorporate possible nonlinear dependencies into existing economic modeling techniques. In times of very non-standard policy actions, these tools might prove to be of great importance as they offer more robust and flexible approaches to financial modeling and forecasting."--Samenvatting auteur.

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.

A collection of essays concerned with nonlinear and multisectoral macrodynamics written in honour of Richard Goodwin which includes discussion of Goodwin's contribution and ideas in comparison with other theories.

This book reflects the state of the art in nonlinear economic dynamics, providing a broad overview of dynamic economic models at different levels. The wide variety of approaches ranges from theoretical and simulation analysis to methodological study. In particular, it examines the local and global asymptotical behavior of both macro- and micro- level mathematical models, theoretically as well as using simulation. It also focuses on systems with one or more time delays for which new methodology has to be developed to investigate their asymptotic properties. The book offers a comprehensive summary of the existing methodology with extensions to the more complex model variants, since considerations on bounded rationality of complex economic behavior provide the foundation underlying choice-theoretic and policy-oriented studies of macro behavior, which impact the real macro economy. It includes 13 chapters addressing traditional models such as monopoly, duopoly and oligopoly in microeconomics and Keynesian, Goodwinian, and Kaldor–Kaleckian models in macroeconomics. Each chapter presents new aspects of these traditional models that have never been seen before. This work renews the past wisdom and reveals tomorrow's knowledge.