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This article provides a stochastic agent-based model to exhibit the role of aggregation metrics in order to mitigate polarization in a complex society. Our sociophysics model is based on interacting and nonlinear Brownian agents, which allow us to study the emergence of collective opinions. The opinion of an agent, x i (t) is a continuous positive value in an interval [0, 1]. We find (i) most agent-metrics display similar outcomes. (ii) The middle-metric and noisy-metric obtain new opinion dynamics either towards assimilation or fragmentation. (iii) We show that a developed 2-stage metric provide new insights about convergence and equilibria. In summary, our simulation demonstrates the power of institutions, which affect the emergence of collective behavior. Consequently, opinion formation in a decentralized complex society is reliant to the individual information processing and rules of collective behavior.
The aim of this article is to establish a stochastic search algorithm for neural networks based on the fractional stochastic processes {đ”đ»đĄ,đĄâ„0} with the Hurst parameter đ»â(0,1). We define and discuss the properties of fractional stochastic processes, {đ”đ»đĄ,đĄâ„0}, which generalize a standard Brownian motion. Fractional stochastic processes capture useful yet different properties in order to simulate real-world phenomena. This approach provides new insights to stochastic gradient descent (SGD) algorithms in machine learning. We exhibit convergence properties for fractional stochastic processes.
This article examines the risks and societal costs associated with flexible average inflation targeting in the United States and symmetric inflation targeting in the Eurozone. Employing an empirical approach, we analyze monthly cumulative inflation gaps over a monetary policy horizon of 36 months. By investigating the trajectories of the cumulative inflation gaps, we find a heavy tailed distribution and a 20 percent probability of over- and undershooting the inflation target. We exhibit that the offsetting mechanism introduced in the revised monetary strategies lack credibility in ensuring price stability during a period of persistent inflation. Consequently, the credibility of central banks may be compromised. The policy implications are the integration of an escape clause and prompt monetary corrections in cases where the inflation goal is not achieved. This study provides insights for policymakers and central banks, emphasizing challenges in maintaining credibility and price stability within the new monetary strategies.
Das Buch âThe Crisis of Democratic Capitalismâ von Martin Wolf ist eine gut 500-seitige Untersuchung des aktuellen Zustands des demokratischen Kapitalismus. Wolf liefert eine eingehende Analyse der Ursachen und Folgen, die zu dieser Krise gefĂŒhrt haben, sowie mögliche LösungsansĂ€tze. Dieses Buch ist eine unverzichtbare LektĂŒre fĂŒr jeden, der verstehen will, wie sich unser Wirtschaftssystem im kommenden Jahrzehnt Ă€ndern muss.
The paper âfocuses on the critique of economic rationalityâ (p. 2). The author analyses the work by Amartya Sen with a somewhat interdisciplinary approach. The author concludes that Sen has greatly shifted our paradigm of economic rationality. The nexus of ethics and economics as well as the two types of rationality (consistency versus optimization) are major contributions of Sen, according to the author. In a nutshell, Senâs work is reconfiguring economic rationality until today.
This article explores the determinants of peopleâs growth prospects in survey data as well as the impact of the European recovery fund to future growth. The focus is on the aftermath of the Corona pandemic, which is a natural limit to the sample size. We use Eurobarometer survey data and macroeconomic variables, such as GDP, unemployment, public deficit, inflation, bond yields, and fiscal spending data. We estimate a variety of panel regression models and develop a new simulation-regression methodology due to limitation of the sample size. We find the major determinant of peopleâs growth prospect is domestic GDP per capita, while European fiscal aid does not significantly matter. In addition, we exhibit with the simulation-regression method novel scientific insights, significant outcomes, and a policy conclusion alike.
Rational behavior is a standard assumption in science. Indeed, rationality is required for environmental action towards net-zero emissions or public health interventions during the SARS-CoV-2 pandemic. Yet, little is known about the elements of rationality. This paper explores a dualism of rationality comprised of optimality and consistency. By designing a new guessing game, we experimentally uncover and disentangle two building blocks of human rationality: the notions of optimality and consistency. We find evidence that rationality is largely associated to optimality and weakly to consistency. Remarkably, under uncertainty, rationality gradually shifts to a heuristic notion. Our findings provide insights to better understand human decision making.
Die Debatte ĂŒber die Zukunft der EuropĂ€ischen Wirtschafts- und WĂ€hrungsunion ist seit geraumer Zeit omniprĂ€sent (Herzog und Hengstermann 2013). Mit der temporĂ€ren Aussetzung der europĂ€ischen (nationalen) Schuldenregeln bis zum 31. Dezember 2022 ging abermals eine leidenschaftlich gefĂŒhrte Post-Covid-19-Reformdiskussion los. Zu den bisherigen VerĂ€nderungsnotwendigkeiten kommen nunmehr die geopolitischen Herausforderungen hinzu. Ist die StabilitĂ€t der WĂ€hrungsunion in Gefahr?
The aim of this work is to establish and generalize a relationship between fractional partial differential equations (fPDEs) and stochastic differential equations (SDEs) to a wider class of stochastic processes, including fractional Brownian motions and sub-fractional Brownian motions with Hurst parameter H â (1/2,1). We start by establishing the connection between a fPDE and SDE via the Feynman-Kac Theorem, which provides a stochastic representation of a general Cauchy problem. In hindsight, we extend this connection by assuming SDEs with fractional and sub-fractional Brownian motions and prove the generalized Feynman-Kac formulas under a (sub-)fractional Brownian motion. An application of the theorem demonstrates, as a by-product, the solution of a fractional integral, which has relevance in probability theory.
This paper studies the power of online search intensity metrics, measured by Google, for examining and forecasting exchange rates. We use panel data consisting of quarterly time series from 2004 to 2018 and ten international countries with the highest currency trading volume. Newly, we include various Google search intensity metrics to our panel data. We find that online search improves the overall econometric models and fits. First, four out of ten search variables are robustly significant at one percent and enhance the macroeconomic exchange rate models. Second, country regressions corroborate the panel results, yet the predictive power of search intensity with regard to exchange rates vary by country. Third, we find higher prediction performance for our exchange rate models with search intensity, particularly in regard to the direction of the exchange rate. Overall, our approach reveals a value-added of search intensity in exchange rate models.