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We propose a novel framework to analyse the velocity of money in terms of the contribution (MicroVelocity) of each individual agent, and to uncover the distributional determinants of aggregate velocity. Leveraging on complete publicly…

General Economics · Economics 2023-05-04 Carlo Campajola , Marco D'Errico , Claudio J. Tessone

Accurate and timely detection of cyber threats is critical to keeping our online economy and data safe. A key technique in early detection is the classification of unusual patterns of network behaviour, often hidden as low-frequency events…

Cryptography and Security · Computer Science 2024-05-01 Anthony Kenyon , Lipika Deka , David Elizondo

The entropy of the random walk on the discrete contable group could be used for comparison of the system of the generators. Fundamental inequality between growth, entropy and escape gives the possibility to define "the best" system of the…

Probability · Mathematics 2014-11-18 Anatoly M. Vershik

Transfer entropy is a widely used measure for quantifying directed information flows in complex systems. While the challenges of estimating transfer entropy for continuous data are well known, it has two major shortcomings for data of…

Data Analysis, Statistics and Probability · Physics 2025-11-27 Alec Kirkley

The relationship between three probability distributions and their maximizable entropy forms is discussed without postulating entropy property. For this purpose, the entropy I is defined as a measure of uncertainty of the probability…

Statistical Mechanics · Physics 2020-10-28 Qiuping A. Wang

We investigate an agent-based model for the emergence of corruption in public contracts. There are two types of agents: business people and public servants. Both business people and public servants can adopt two strategies: corrupt or…

Physics and Society · Physics 2023-04-06 Pablo Valverde , Jaime Fernandez , Edwin Buenaño , Juan Carlos González-Avella , Mario Cosenza

Bipartite networks provide an insightful representation of many systems, ranging from mutualistic networks of species interactions to investment networks in finance. The analysis of their topological structures has revealed the ubiquitous…

Physics and Society · Physics 2018-07-20 Mika J. Straka , Guido Caldarelli , Tiziano Squartini , Fabio Saracco

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

We solve for the equilibrium dynamics of information sharing in a large population. Each agent is endowed with signals regarding the likely outcome of a random variable of common concern. Individuals choose the effort with which they search…

Probability · Mathematics 2008-11-20 Darrell Duffie , Semyon Malamud , Gustavo Manso

Entropy and differential entropy are important quantities in information theory. A tractable extension to singular random variables-which are neither discrete nor continuous-has not been available so far. Here, we present such an extension…

Information Theory · Computer Science 2017-01-04 Günther Koliander , Georg Pichler , Erwin Riegler , Franz Hlawatsch

Indices of acceptability are well suited to frame the axiomatic features of many performance measures, associated to terminal random cash flows.We extend this notion to classes of c\`adl\`ag processes modelling cash flows over a fixed…

Mathematical Finance · Quantitative Finance 2019-11-07 Christos E. Kountzakis , Damiano Rossello

Classification is a machine learning method used in many practical applications: text mining, handwritten character recognition, face recognition, pattern classification, scene labeling, computer vision, natural langage processing. A…

Machine Learning · Computer Science 2025-11-05 Doulaye Dembélé

Institutions and investors are constantly faced with the challenge of appropriately distributing endowments. No budget is limitless and optimising overall spending without sacrificing positive outcomes has been approached and resolved using…

Multiagent Systems · Computer Science 2023-01-25 Theodor Cimpeanu , Alessandro Di Stefano , Cedric Perret , The Anh Han

How does the information flow between different brain regions during various stimuli? This is the question we aim to address by studying complex cognitive paradigms in terms of Information Theory. To assess creativity and the emergence of…

Neurons and Cognition · Quantitative Biology 2025-07-08 Ania Mesa-Rodríguez , Ernesto Estevez-Rams , Holger Kantz

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 represents an extended version of an earlier note [10]. The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function. We analyse analogs of…

Probability · Mathematics 2017-10-31 Mark Kelbert , Izabella Stuhl , Yuri Suhov

This paper is about our attempt of identifying trade elasticities through the variations in the exchange rate, for possible applications to the case of services whose physical transactions are veiled in the trade statistics. The regression…

General Economics · Economics 2024-12-20 Satoshi Nakano , Kazuhiko Nishimura

We investigate whether fairness is compatible with efficiency in economies with multi-self agents, who may not be able to integrate their multiple objectives into a single complete and transitive ranking. We adapt envy-freeness,…

Theoretical Economics · Economics 2022-04-15 Sophie Bade , Erel Segal-Halevi

Preserving biodiversity and ecosystem stability is a challenge that can be pursued through modern statistical mechanics modeling. Here we introduce a variational maximum entropy-based algorithm to evaluate the entropy in a minimal ecosystem…

Biological Physics · Physics 2018-10-17 Mattia Miotto , Lorenzo Monacelli

We investigate a pricing rule that is applicable for streams of income or contingent claim liabilities and study how this rule changes under additional insider-type information that an investor might obtain. Considering a model where the…

Mathematical Finance · Quantitative Finance 2025-05-15 Philip A. Ernst , Oleksii Mostovyi