We develop an algorithm for solving a large class of nonlinear high-dimensional continuous-time models in finance. We approximate value and policy functions using deep learning and show that a combination of automatic differentiation and Ito's lemma allows for the computation of exact...

This study endeavors to unravel the structured and sequential intricacies underlying the empirical da-ta-generating process (DGP) and the captivating evolutionary dynamism of Islamic fixed income securi-ties. To achieve this goal, we delve into the realm of nonlinear dynamics governing the Dow...

We develop a nonlinear duopoly model in which the heuristic expectation formation and learning behavior of two boundedly rational firms may engender complex dynamics. Most importantly, we assume that the firms employ different forecasting models to predict the behavior of their opponent....

The paper examines whether the US evidence in favour of a nonlinearity in the Phillips curve is robust or fragile. To this end, we use both cross city and aggregate time series data. We are particularly concerned with the possibility that the evidence in favour a nonlinear Phillips curve may is...

In this study, I apply a bibliometric analysis paired with a subsequent snowball sampling procedure. Moreover, I display a full citation network analysis, outlining the most relevant publications and contributions, defining relevant measures and show the interconnectivities and gaps within the...

Complex systems derive sophisticated behavioural dynamics by connecting individual component dynamics via a complex network. The resilience of complex systems is a critical ability to regain desirable behaviour after perturbations. In the past years our understanding of large-scale networked...

Chronoamperometry (CA), phase space reconstruction, correlation dimension, multifractal detrended fluctuation analysis (MFDFA) combining linear sweep voltammetry (LSV), electrochemical impedance spectroscopy (EIS), and surface morphology observation were used to systematically analyze the...

Economists typically make simplifying assumptions to make the solution and estimation of their highly complex models feasible. These simplifications include approximating the true nonlinear dynamics of the model, disregarding aggregate uncertainty or assuming that all agents are identical. While...

This paper estimates a single pricing factor from index options and shows that it can explain a large set of prominent stock return anomalies jointly. A key feature of the new pricing factor is that it is a U-shaped function of index returns, implying that investors demand an upside risk...

Macroeconomic dynamics are shaped by how individual incentives to spend and accumulate interact with the decisions of others. The goal of this paper is to identify--within a simple large-game-theoretic structure--which types of agent interactions favor which types of dynamic equilibrium...

We show that standard menu cost models cannot simultaneously reproduce the dispersion in the size of micro-price changes and the extent to which the fraction of price changes increases with inflation in the U.S. time-series. Though the Golosov and Lucas (2007) model generates fluctuations in the...

We propose a new tool to filter non-linear dynamic models that does not require the researcher to specify the model fully and can be implemented without solving the model. If two conditions are satisfied, we can use a flexible statistical model and a known measurement equation to back out the...

This paper studies the behavior of corporate bond spreads during different market regimes between 2004 and 2016. Applying a Markov-switching vector autoregressive (MS-VAR) model, we document that the dynamic impact of spread determinants varies substantially with market conditions. In periods of...

The core-periphery model by Krugman (1991) has two 'dramatic' implications: catastrophic agglomeration and locational hysteresis. We study this seminal model with CES instead of Cobb-Douglas upper tier preferences. This small generalization suffices to change these stark implications. For a wide...

In this paper, we look for the relevance of chaos in the well-known Hicks-Samuelson's oscillator model investigating the endogenous fluctuations of the national income between two limits: full employment income and under-employment income. We compute the Lyapunov exponent, via Monte-Carlo...

Based on the seminal asset-pricing model by Brock and Hommes (1998), we analytically show that higher wealth taxes increase the risky asset’s fundamental value, enlarge its local stability domain, may prevent the birth of nonfundamental steady states and, if they exist, reduce the risky...

We study the environmental and economic effects of public abatement in the presence of multiple stable steady-state ecological equilibria. Under shallow-lake dynamics (SLD), the isocline for the stock of pollution features two stable branches, a good and a bad one. Assuming that the ecology is...

This paper studies dynamics of endogenous business cycles and exchange rate volatility in a small open economy. Without market imperfections, domestic price and wage adjustments respond sluggishly to disequilibrium situations on real domestic markets while prices on international capital markets...

We analyse the workings of a simple non-linear exchange rate model in which agents hold different beliefs about the underlying model. We distinguish between "chartists" and "fundamentalists". The non-linearities in the model originate from transactions costs and from the existence of non-linear...

"What do economic chaos and uncertainties mean in rational or irrational economic theories? How do simple deterministic interactions among a few variables lead to unpredictable complex phenomena? Why is complexity of economies causing so many conflicts and confusions worldwide? This book...

In this paper we want to give possible answers to questions such as: What is art? How is art related to society? How does art develop? We consider art not as static, but as dynamic and complex, it permanently changes, interpretations of artworks permanently (re-)emerge, new artworks emerge, etc....

We provide a review of macro-finance models featuring nonlinear dynamics. We survey the models developed recently in the literature, including models with amplification effects of financial constraints, models with households' leverage constraints, and models with financial networks. We also...

Investors pay a substantial premium to hedge against fluctuations in volatility—the variance risk premium (VRP). The asset-pricing literature has presented numerous models with jumps in economic fundamentals to reproduce the properties and the time variation of the VRP. This paper shows that...

This paper proposes a conceptualization of business cycle fluctuations in which the role of financial conditions and nonlinear dynamics are explicitly incorporated. We highlight the role of investment demand in driving economic fluctuations, consider its endogenous dynamic interactions with...

Tests of excessive volatility along the lines of Shiller (1981) and Leroy and Porter (1981) count among the most convincing pieces of evidence against the validity of the time-honored efficient market hypothesis. Recently, using Shiller s distinction between ex-ante rational (fundamental) price...

The present study is on the five cryptocurrency daily mean return time series linearity dynamics during the Covid-19 period. These cryptocurrencies were chosen based on their influence on the market, primarily driven by its market capitalisation. Tether is included as the most important stable...