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We study random graph models for directed acyclic graphs, an important class of networks that includes citation networks, food webs, and feed-forward neural networks among others. We propose two specific models, roughly analogous to the…

Physics and Society · Physics 2009-10-16 Brian Karrer , M. E. J. Newman

Directed acyclic graphs are a fundamental class of networks that includes citation networks, food webs, and family trees, among others. Here we define a random graph model for directed acyclic graphs and give solutions for a number of the…

Physics and Society · Physics 2009-03-23 Brian Karrer , M. E. J. Newman

This paper is a Systematization of Knowledge (SoK) on Directed Acyclic Graph (DAG)-based consensus protocols, analyzing their performance and trade-offs within the framework of consistency, availability, and partition tolerance inspired by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-23 Mayank Raikwar , Nikita Polyanskii , Sebastian Müller

We use the logistic equation to model the dynamics of the GDP and the trade of the six countries with the highest GDP in the world, namely, USA, China, Japan, Germany, UK and India. From the modelling of the economic data, which are made…

Physics and Society · Physics 2022-09-27 Abhin Kakkad , Arnab K. Ray

We show that since the mid-1990s, the trade-promoting effects of tariff liberalization have been increasingly offset by deteriorating geopolitical alignment, slowing trade globalization after 2007. To quantify this barrier, we use large…

General Economics · Economics 2026-04-28 Tianyu Fan , Mai Wo , Wei Xiang

We present a graphical approach to deriving inequality constraints for directed acyclic graph (DAG) models, where some variables are unobserved. In particular we show that the observed distribution of a discrete model is always restricted…

Statistics Theory · Mathematics 2012-09-14 Robin J. Evans

Traffic congestion at urban-scale levels occurs when road network supply is insufficient compared with demand. Therefore, the relationship between supply and demand has been extensively investigated in the literature. Especially the impact…

Applications · Statistics 2023-10-26 Kota Nagasaki , Toru Seo

We consider graphs that represent pairwise marginal independencies amongst a set of variables (for instance, the zero entries of a covariance matrix for normal data). We characterize the directed acyclic graphs (DAGs) that faithfully…

Artificial Intelligence · Computer Science 2015-08-04 Johannes Textor , Alexander Idelberger , Maciej Liśkiewicz

Global financial systems are undergoing strategic shifts as geopolitical tensions reshape international trade and payments. The United States (US)-China trade war, sanctions regimes, and rising concerns over the weaponization of financial…

Theoretical Economics · Economics 2025-05-28 Antonis Ballis

During the last decades two important contributions have reshaped our understanding of international trade. First, countries trade more with those with whom they share history, language, and culture, suggesting that trade is limited by…

Economics · Quantitative Finance 2017-09-19 Bogang Jun , Aamena Alshamsi , Jian Gao , Cesar A Hidalgo

We define what "Price Impact" means, and how it is measured and modelled in the recent literature. Although this notion seems to convey the idea of a forceful and intuitive mechanism, we discuss why things might not be that simple.…

Trading and Market Microstructure · Quantitative Finance 2017-08-24 J. P. Bouchaud

The paper analyses trade between the most developed economies of the world. The analysis is based on the previously proposed model of international trade. This model of international trade is based on the theory of general economic…

Trading and Market Microstructure · Quantitative Finance 2025-03-24 N. S. Gonchar , O. P. Dovzhyk , A. S. Zhokhin , W. H. Kozyrski , A. P. Makhort

The imposition of tariffs by President Trump during his second term had far-reaching consequences for global markets, including Australia. This study investigates how both the announcement and subsequent implementation of these tariffs,…

Numerical Analysis · Mathematics 2026-05-21 Mridul Patel

We represent an exchange economy in terms of statistical ensembles for complex networks by introducing the concept of market configuration. This is defined as a sequence of nonnegative discrete random variables $\{w_{ij}\}$ describing the…

General Finance · Quantitative Finance 2016-09-15 Leonardo Bargigli , Andrea Lionetto , Stefano Viaggiu

Our work sheds new light on the role of oil prices in shaping the world economy by investigating flows of goods and services through global value chains between 1960 and 2011, by means of Markov Chain and network analysis. We show that over…

Physics and Society · Physics 2016-04-04 Francesco Picciolo , Andreas Papandreou , Klaus Hubacek , Franco Ruzzenenti

We design profit-maximizing mechanisms to sell an excludable and non-rival good with positive and/or negative network effects. Buyers have heterogeneous private values that depend on how many others also consume the good. In optimum, an…

Theoretical Economics · Economics 2025-07-31 Vincent Meisner , Pascal Pillath

Graphical Markov models determined by acyclic digraphs (ADGs), also called directed acyclic graphs (DAGs), are widely studied in statistics, computer science (as Bayesian networks), operations research (as influence diagrams), and many…

Artificial Intelligence · Computer Science 2013-01-14 Steven B. Gillispie , Michael D. Perlman

We develop a simple framework to analyze how targeted persuasive advertising shapes market power and welfare. A designer flexibly manipulates the demand curve by influencing individual valuations at a cost. A monopolist prices against this…

Theoretical Economics · Economics 2025-06-04 Yifan Dai , Andrew Koh

We develop a formalism to study linearized perturbations around the equilibria of a pure exchange economy. With the use of mean field theory techniques, we derive equations for the flow of products in an economy driven by heterogeneous…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 Samuel E. Vazquez , Simone Severini

Tolling in traffic networks offers a popular measure to minimize overall congestion. Existing toll designs primarily focus on congestion in route-based traffic assignment models (TAMs), in which travelers make a single route selection from…

Systems and Control · Electrical Eng. & Systems 2023-10-26 Chih-Yuan Chiu , Chinmay Maheshwari , Pan-Yang Su , Shankar Sastry
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