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Economy, and consequently trade, is a fundamental part of human social organization which, until now, has not been studied within the network modelling framework. Networks are mathematical tools used in the modelling of a wide variety of…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Angeles Serrano , Marian Boguna

We consider an urn model with multiple drawing and random time-dependent addition matrix. The model is very general with respect to previous literature: the number of sampled balls at each time-step is random, the addition matrix has…

Probability · Mathematics 2021-07-06 Irene Crimaldi , Pierre-Yves Louis , Ida Germana Minelli

Generating realistic artificial preference distributions is an important part of any simulation analysis of electoral systems. While this has been discussed in some detail in the context of a single electoral district, many electoral…

Computer Science and Game Theory · Computer Science 2017-06-30 Geoffrey Pritchard , Mark C. Wilson

We study the ever more integrated and ever more unbalanced trade relationships between European countries. To better capture the complexity of economic networks, we propose two global measures that assess the trade integration and the trade…

Physics and Society · Physics 2014-03-05 Gautier M. Krings , Jean-François Carpantier , Jean-Charles Delvenne

We investigate the role of networks of alliances in preventing (multilateral) interstate wars. We first show that, in the absence of international trade, no network of alliances is peaceful and stable. We then show that international trade…

Physics and Society · Physics 2016-02-17 Matthew O. Jackson , Stephen M. Nei

Generalized Polya urn models can describe the dynamics of finite populations of interacting genotypes. Three basic questions these models can address are: Under what conditions does a population exhibit growth? On the event of growth, at…

Probability · Mathematics 2007-05-23 Michel Benaim , Sebastian J. Schreiber , Pierre Tarres

International trade is based on a set of complex relationships between different countries that can be modelled as an extremely dense network of interconnected agents. On the one hand, this network might favour the economic growth of…

General Economics · Economics 2024-04-08 Roberto Antonietti , Paolo Falbo , Fulvio Fontini , Rosanna Grassi , Giorgio Rizzini

Nestedness has traditionally been used to detect assembly patterns in meta-communities and networks of interacting species. Attempts have also been made to uncover nested structures in international trade, typically represented as bipartite…

Few attempts have been proposed in order to describe the statistical features and historical evolution of the export bipartite matrix countries/products. An important standpoint is the introduction of a products network, namely a…

Physics and Society · Physics 2015-11-10 Fabio Saracco , Riccardo Di Clemente , Andrea Gabrielli , Luciano Pietronero

We study the structure of the international trade hypergraph consisting of triangular hyperedges representing the exporter-importer-product relationship. Measuring the mean hyperdegree of the adjacent vertices, we first find its behaviors…

Physics and Society · Physics 2022-10-14 Sudo Yi , Deok-Sun Lee

We study the long-time asymptotics of a network of weakly reinforced P\'olya urns. In this system, which extends the WARM introduced by R. van der Hofstad et. al. (2016) to countable networks, the nodes fire at times given by a Poisson…

Probability · Mathematics 2021-06-28 Yannick Couzinié , Christian Hirsch

We study the problem of coalitional manipulation in elections using the unweighted Borda rule. We provide empirical evidence of the manipulability of Borda elections in the form of two new greedy manipulation algorithms based on intuitions…

Artificial Intelligence · Computer Science 2010-07-30 Jessica Davies , George Katsirelos , Nina Narodystka , Toby Walsh

A network epidemics model based on the classical Polya urn scheme is investigated. Temporal contagion processes are generated on the network nodes using a modified Polya sampling scheme that accounts for spatial infection among neighbouring…

Social and Information Networks · Computer Science 2017-12-12 Mikhail Hayhoe , Fady Alajaji , Bahman Gharesifard

I propose a new terminology, international trade strength, which is defined as the ratio of a country's total international trade to its GDP. This parameter represents a country's ability to generate international trade by utilizing its…

General Economics · Economics 2023-09-06 Mikrajuddin Abdullah

We demonstrate using multi-layered networks, the existence of an empirical linkage between the dynamics of the financial network constructed from the market indices and the macroeconomic networks constructed from macroeconomic variables…

General Economics · Economics 2019-03-18 Kiran Sharma , Anindya S. Chakrabarti , Anirban Chakraborti

In the face of adverse motives, it is indispensable to achieve a consensus. Elections have been the canonical way by which modern democracy has operated since the 17th century. Nowadays, they regulate markets, provide an engine for modern…

Machine Learning · Computer Science 2026-01-06 Hao Xiang Li , Yash Shah , Lorenzo Giusti

Motivated by a study of United Nations voting behaviors, we introduce a regression model for a series of networks that are correlated over time. Our model is a dynamic extension of the additive and multiplicative effects network model…

Applications · Statistics 2023-03-23 Bomin Kim , Xiaoyue Niu , David R. Hunter , Xun Cao

We are flooded with large-scale dynamic networked data. Analyses requiring exact comparisons between networks are computationally intractable, so new methodologies are sought. We extend the graphlet-based statistics to directed networks and…

Social and Information Networks · Computer Science 2016-03-18 Anida Sarajlić , Noël Malod-Dognin , Ömer Nebil Yaveroğlu , Nataša Pržulj

Social pressure is a key factor affecting the evolution of opinions on networks in many types of settings, pushing people to conform to their neighbors' opinions. To study this, the interacting Polya urn model was introduced by Jadbabaie et…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Jennifer Tang , Aviv Adler , Amir Ajorlou , Ali Jadbabaie

In [arXiv:1906.10951 (forthcoming on Advances in Applied Probability),arXiv:2011.05933 (published on PLOS ONE)] the authors introduce, study and apply a new variant of the Eggenberger-Polya urn, called the "Rescaled" Polya urn, which, for a…

Probability · Mathematics 2022-03-30 Giacomo Aletti , Irene Crimaldi
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