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Distributed Energy Resources (DERs) can significantly affect the net social benefit in power systems, raising concerns pertaining to distributive justice, equity, and fairness. Electricity tariff and DERs share a symbiotic relationship…

Systems and Control · Electrical Eng. & Systems 2021-10-20 Hafiz Anwar Ullah Khan , Burcin Unel , Yury Dvorkin

Directed acyclic graph (DAG) models, also called Bayesian networks, impose conditional independence constraints on a multivariate probability distribution, and are widely used in probabilistic reasoning, machine learning and causal…

Statistics Theory · Mathematics 2022-12-20 Robin J. Evans

Every directed acyclic graph (DAG) over a finite non-empty set of variables (= nodes) N induces an independence model over N, which is a list of conditional independence statements over N.The inclusion problem is how to characterize (in…

Artificial Intelligence · Computer Science 2013-01-14 Tomas Kocka , Remco R. Bouckaert , Milan Studeny

Real causal processes may contain feedback loops and change over time. In this paper, we model cycles and non-stationary distributions using a mixture of directed acyclic graphs (DAGs). We then study the conditional independence (CI)…

Statistics Theory · Mathematics 2019-09-16 Eric V. Strobl

We introduce a new framework to model interactions among agents which seek to trade to minimize their risk with respect to some future outcome. We quantify this risk using the concept of risk measures from finance, and introduce a class of…

Computer Science and Game Theory · Computer Science 2014-10-13 Rafael M. Frongillo , Mark D. Reid

Countries participate in global value chains by engaging in backward and forward transactions connecting multiple geographically dispersed production stages. Inspired by network theory, we model global trade as a multilayer network and…

Physics and Society · Physics 2021-12-14 Luiz G. A. Alves , Giuseppe Mangioni , Francisco A. Rodrigues , Pietro Panzarasa , Yamir Moreno

With globalization, countries are more connected than before by trading flows, which currently amount to at least 36 trillion dollars. Interestingly, approximately 30-60 percent of global exports consist of intermediate products. Therefore,…

General Finance · Quantitative Finance 2017-02-08 Peiteng Shi , Jiang Zhang , Bo Yang , Jingfei Luo

This paper explores the role of Directed Acyclic Graphs (DAGs) as a representation of conditional independence relationships. We show that DAGs offer polynomially sound and complete inference mechanisms for inferring conditional…

Artificial Intelligence · Computer Science 2013-04-10 Dan Geiger , Judea Pearl

The feed-forward relationship naturally observed in time-dependent processes and in a diverse number of real systems -such as some food-webs and electronic and neural wiring- can be described in terms of so-called directed acyclic graphs…

Physics and Society · Physics 2015-05-19 Joaquín Goñi , Bernat Corominas-Murtra , Ricard V. Solé , Carlos Rodríguez-Caso

Quantifying the importance and power of individual nodes depending on their position in socio-economic networks constitutes a problem across a variety of applications. Examples include the reach of individuals in (online) social networks,…

Physics and Society · Physics 2021-06-01 Chengyuan Han , Dirk Witthaut , Marc Timme , Malte Schröder

In this paper, we design two chapters to discuss trade dynamics with heterogeneous fluctuations, contributing new insights to macroeconomic issues related to international trade. In the first chapter, we model general exchange rate…

Econometrics · Economics 2026-03-11 Yongheng Hu

Many economic activities are embedded in networks: sets of agents and the (often) rivalrous relationships connecting them to one another. Input sourcing by firms, interbank lending, scientific research, and job search are four examples,…

Econometrics · Economics 2019-12-16 Bryan S. Graham

In self-organizing networks, topology and dynamics coevolve in a continuous feedback, without exogenous driving. The World Trade Network (WTN) is one of the few empirically well documented examples of self-organizing networks: its topology…

Physics and Society · Physics 2014-01-14 Tiziano Squartini , Diego Garlaschelli

This study constructs a novel analytical general equilibrium model to compare environmental policies in a setting where oligopolistic energy firms engage in third-degree price discrimination across residential consumers and industrial…

General Economics · Economics 2025-01-07 Tengjiao Chen , Daniel H. Karney

This work addresses the problem of learning directed acyclic graphs (DAGs) from nodal observations generated by a linear structural equation model. DAG learning is a central task in signal processing, machine learning, and causal inference,…

Machine Learning · Computer Science 2026-05-20 Samuel Rey , Madeline navarro , Gonzalo Mateos

We present a novel form of Fourier analysis, and associated signal processing concepts, for signals (or data) indexed by edge-weighted directed acyclic graphs (DAGs). This means that our Fourier basis yields an eigendecomposition of a…

Signal Processing · Electrical Eng. & Systems 2025-01-29 Bastian Seifert , Chris Wendler , Markus Püschel

We study the diffusion of shocks in the global financial cycle and global liquidity conditions to emerging and developing economies. We show that the classification according to their external trade patterns (as commodities' net exporters…

General Economics · Economics 2021-12-09 Jorge Carrera , Gabriel Montes-Rojas , Fernando Toledo

We study how a monopolist's use of consumer data for price discrimination affects welfare. To answer this question, we develop a model of market segmentation subject to residual uncertainty. We fully characterize when data usage…

Theoretical Economics · Economics 2025-11-20 Maryam Farboodi , Nima Haghpanah , Ali Shourideh

We study an Arrow-Debreu economy with externalities generated by multiplex networks. Market equilibrium prices reflect both the preferences and scarcity of goods, consumers' network centralities arising from goods' externalities, as well as…

Theoretical Economics · Economics 2026-05-21 Chengqing Li , Yves Zenou , Junjie Zhou

For centuries, national economies created wealth by engaging in international trade and production. The resulting international supply networks not only increase wealth for countries, but also create systemic risk: economic shocks,…

General Economics · Economics 2021-12-02 Abhijit Chakraborty , Tobias Reisch , Christian Diem , Stefan Thurner
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