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We extend the exploration regarding dynamical approach of macroeconomic variables by tackling systematically expenditure using Statistical Physics models (for the first time to the best of our knowledge). Also, using polynomial distribution…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev

Cooperation underlies many aspects of the evolution of human and animal societies, where cooperators produce social goods to benefit others. Explaining the emergence of cooperation among selfish individuals has become a major research…

Physics and Society · Physics 2025-03-10 Yao Meng , Sean P. Cornelius , Yang-Yu Liu , Aming Li

Human activities increasingly take place in online environments, providing novel opportunities for relating individual behaviours to population-level outcomes. In this paper, we introduce a simple generative model for the collective…

Physics and Society · Physics 2014-07-24 James P. Gleeson , Davide Cellai , Jukka-Pekka Onnela , Mason A. Porter , Felix Reed-Tsochas

Understanding and modeling the dynamics of pedestrian crowds can help with designing and increasing the safety of civil facilities. A key feature of crowds is its intrinsic stochasticity, appearing even under very diluted conditions, due to…

Physics and Society · Physics 2017-03-22 Alessandro Corbetta , Chung-min Lee , Roberto Benzi , Adrian Muntean , Federico Toschi

A dynamical model is introduced for the formation of a bullish or bearish trends driving an asset price in a given market. Initially, each agent decides to buy or sell according to its personal opinion, which results from the combination of…

Physics and Society · Physics 2011-06-09 Serge Galam

Resource distribution is a fundamental problem in economic and policy design, particularly when demand and supply are not naturally aligned. Without regulation, wealthier individuals may monopolize this resource, leaving the needs of others…

Computer Science and Game Theory · Computer Science 2025-05-26 David Sychrovský , Jakub Černý , Martin Loebl

Neglecting the effect that decisions have on individuals (and thus, on the underlying data distribution) when designing algorithmic decision-making policies may increase inequalities and unfairness in the long term - even if fairness…

Artificial Intelligence · Computer Science 2023-11-22 Miriam Rateike , Isabel Valera , Patrick Forré

Buyer--seller relationships among firms can be regarded as a longitudinal network in which the connectivity pattern evolves as each firm receives productivity shocks. Based on a data set describing the evolution of buyer--seller links among…

General Finance · Quantitative Finance 2016-08-25 Ryohei Hisano , Tsutomu Watanabe , Takayuki Mizuno , Takaaki Ohnishi , Didier Sornette

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

Numerous online services are data-driven: the behavior of users affects the system's parameters, and the system's parameters affect the users' experience of the service, which in turn affects the way users may interact with the system. For…

Machine Learning · Computer Science 2024-04-30 Sarah Dean , Mihaela Curmei , Lillian J. Ratliff , Jamie Morgenstern , Maryam Fazel

We study the tactical time slot management problem under mixed logit demand for attended home delivery in subscription settings. We propose a static mixed-integer linear programming model that integrates delivery slot assortment, price…

Optimization and Control · Mathematics 2025-12-15 Dorsa Abdolhamidi , Virginie Lurkin

A generic aggregate forming system in two dimensions (2D) is studied using canonical ensemble constant temperature molecular dynamics simulation. The aggregates form due to the competition between short range attraction and long range…

Soft Condensed Matter · Physics 2018-05-15 Tamoghna Das , M. M. Bandi

We propose a framework for studying optimal market making policies in a limit order book (LOB). The bid-ask spread of the LOB is modelled by a Markov chain with finite values, multiple of the tick size, and subordinated by the Poisson…

Trading and Market Microstructure · Quantitative Finance 2011-06-29 Fabien Guilbaud , Huyen Pham

We discuss the influence of information contagion on the dynamics of choices in social networks of heterogeneous buyers. Starting from an inhomogeneous cellular automata model of buyers dynamics, we show that when agents try to adjust their…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gerard Weisbuch , Dietrich Stauffer

We are witnessing an increasing use of data-driven predictive models to inform decisions. As decisions have implications for individuals and society, there is increasing pressure on decision makers to be transparent about their decision…

In this study, we couple a population dynamics model with a model for optimal foraging to study the interdependence between individual-level cost-benefits and population-scale dynamics. Specifically, we study the logistic growth model,…

Populations and Evolution · Quantitative Biology 2024-08-06 Jimmy Calvo-Monge , Baltazar Espinoza , Fabio Sanchez

Living systems display complex behaviors driven by physical forces as well as decision-making. Hydrodynamic theories hold promise for simplified universal descriptions of socially-generated collective behaviors. However, the construction of…

Soft Condensed Matter · Physics 2025-09-03 Daniel S. Seara , Jonathan Colen , Michel Fruchart , Yael Avni , David Martin , Vincenzo Vitelli

We empirically investigate distributions of individual consumption expenditure f or four commodity categories conditional on fixed income levels. The data stems from the Family Expenditure Survey carried out annually in the United Kingdom.…

Statistical Mechanics · Physics 2009-11-07 Martin Hohnisch , Sabine Pittnauer , Manisha Chakrabarty

Individual-based models of chemical or biological dynamics usually consider individual entities diffusing in space and performing a birth-death type dynamics. In this work we study the properties of a model in this class where the birth…

Statistical Mechanics · Physics 2009-11-11 Emilio Hernandez-Garcia , Cristobal Lopez

We show that an equilibriumlike additivity property can remarkably lead to power-law distributions observed frequently in a wide class of out-of-equilibrium systems. The additivity property can determine the full scaling form of the…

Statistical Mechanics · Physics 2015-12-17 Arghya Das , Sayani Chatterjee , Punyabrata Pradhan , P. K. Mohanty