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Given a finite connected graph G, place a bin at each vertex. Two bins are called a pair if they share an edge of G. At discrete times, a ball is added to each pair of bins. In a pair of bins, one of the bins gets the ball with probability…

Probability · Mathematics 2020-04-21 Michel Benaim , Itai Benjamini , Jun Chen , Yuri Lima

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

The \emph{World Trade Web} (WTW), the network defined by the international import/export trade relationships, has been recently shown to display some important topological properties which are tightly related to the Gross Domestic Product…

Physics and Society · Physics 2009-02-06 D. Garlaschelli , M. I. Loffredo

This paper employs a weighted network approach to study the empirical properties of the web of trade relationships among world countries, and its evolution over time. We show that most countries are characterized by weak trade links; yet,…

Social and Information Networks · Computer Science 2018-03-21 Maddalena D'Anna , Alfredo Petrosino

We consider weighted negatively reinforced urn schemes with finitely many colours. An urn scheme is called negatively reinforced, if the selection probability for a colour is proportional to the weight $w$ of the colour proportion, where…

Probability · Mathematics 2019-05-28 Gursharn Kaur

Devising strategies for economic development in a globally competitive landscape requires a solid and unbiased understanding of countries technological advancements and similarities among export products. Both can be addressed through the…

Physics and Society · Physics 2017-09-01 Mika J. Straka , Guido Caldarelli , Fabio Saracco

International economics has a long history of improving our understanding of factors causing trade, and the consequences of free flow of goods and services across countries. The recent shocks to the free trade regime, especially trade…

Machine Learning · Computer Science 2021-11-16 Feras A. Batarseh , Munisamy Gopinath , Anderson Monken , Zhengrong Gu

We study a networked system of innovation processes, where each process is modeled as an urn with infinitely many colors-a classical framework for capturing the emergence of novelties. Extending this paradigm, we analyze a model of…

Methodology · Statistics 2026-03-04 Giacomo Aletti , Irene Crimaldi , Andrea Ghiglietti

We consider the edge-reinforced random walk with multiple (but finitely many) walkers which influence the edge weights together. The walker which moves at a given time step is chosen uniformly at random, or according to a fixed order.…

Probability · Mathematics 2023-11-16 Nina Gantert , Fabian Michel , Guilherme Reis

Consider a finite undirected graph and place an urn with balls of two colours at each vertex. At every discrete time step, for each urn, a fixed number of balls are drawn from that same urn with probability $p$, and from a randomly chosen…

Probability · Mathematics 2024-08-29 Yogesh Dahiya , Neeraja Sahasrabudhe

Ecological systems have a high level of complexity combined with stability and rich biodiversity. Recently, the analysis of their properties and evolution has been pushed forward on a basis of concept of mutualistic networks that provides a…

General Finance · Quantitative Finance 2015-03-13 Leonardo Ermann , Dima L. Shepelyansky

Using a model of wealth distribution where traders are characterized by quenched random saving propensities and trade among themselves by bipartite transactions, we mimic the enhanced rates of trading of the rich by introducing the…

General Finance · Quantitative Finance 2015-05-14 Abhijit Chakraborty , S. S. Manna

Economic growth is often associated with diversification of economic activities. Making a product in a country is dependent on having, and acquiring, the capabilities needed to make the product, making the process path-dependent. We derive…

Physics and Society · Physics 2018-09-05 Neave O'Clery , Muhammed A. Yildirim , Ricardo Hausmann

We study a general preferential attachment and Polya's urn model. At each step a new vertex is introduced, which can be connected to at most one existing vertex. If it is disconnected, it becomes a pioneer vertex. Given that it is not…

Probability · Mathematics 2013-03-18 Andrea Collevecchio , Codina Cotar , Marco LiCalzi

The paper deals with the problem of finding the best alternatives on the basis of pairwise comparisons when these comparisons need not be transitive. In this setting, we study a reinforcement urn model. We prove convergence to the optimal…

Optimization and Control · Mathematics 2013-01-25 Benoit Laslier , Jean-Francois Laslier

European Monetary Union continues to be characterised by significant macroeconomic imbalances. Germany has shown increasing current account surpluses at the expense of the other member states (especially the European periphery). Since the…

General Economics · Economics 2022-09-21 Giovanni Carnazza , Pierluigi Vellucci

Recent events such as the global financial crisis have renewed the interest in the topic of economic networks. One of the main channels of shock propagation among countries is the International Trade Network (ITN). Two important models for…

General Finance · Quantitative Finance 2015-02-23 Assaf Almog , Tiziano Squartini , Diego Garlaschelli

Trade networks, across which countries distribute their products, are crucial components of the globalized world economy. Their structure is strongly heterogeneous across products, given the different features of the countries which buy and…

Physics and Society · Physics 2019-01-09 Carlo Piccardi , Lucia Tajoli

We study an urn process with two urns, initialized with a ball each. Balls are added sequentially, the urn being chosen independently with probability proportional to the $\alpha^{th}$ power $(\alpha >1)$ of the existing number of balls. We…

Probability · Mathematics 2026-01-14 Svante Janson , Subhabrata Sen , Joel Spencer

Understanding the structure of communities in a network has a great importance in the economic analysis. Communities are indeed characterized by specific properties, that are different from those of both the individual node and the whole…

Physics and Society · Physics 2021-10-20 Paolo Bartesaghi , Stefano Benati , Gian Paolo Clemente , Rosanna Grassi