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In this paper, we extend some ideas of statistical physics to describe the properties of human mobility. From a physical point of view, we consider the statistical empirical laws of private cars mobility, taking advantage of a GPS database…

Physics and Society · Physics 2015-01-12 Riccardo Gallotti , Armando Bazzani , Sandro Rambaldi

This work investigates a modified Schelling model within the scope and aims of Social Physics. The main purpose is to see if how the concepts of potential and kinetic energy can be represented within a computational sociological system. A…

Physics and Society · Physics 2023-09-14 George-Rafael Domenikos , Tyler Laurie , Sahar Awaji , Alexander V. Mantzaris

In this paper, we consider a multi-modal mobility system of travelers each with an individual travel budget, and propose a game-theoretic framework to assign each traveler to a ``mobility service" (each one representing a different mode of…

Computer Science and Game Theory · Computer Science 2023-02-28 Ioannis Vasileios Chremos , Andreas Malikopoulos

We consider a class of jump games in which agents of different types occupy the nodes of a graph aiming to maximize the variety of types in their neighborhood. In particular, each agent derives a utility equal to the number of types…

Computer Science and Game Theory · Computer Science 2025-05-16 Lata Narayanan , Jaroslav Opatrny , Shanmukha Tummala , Alexandros A. Voudouris

The presented model provides an explanation to several empirically observed phenomena in spatial economics. By representing the system as a complex network of fixed-size land areas connected by trade between harbored activities, city size…

Statistical Mechanics · Physics 2007-05-23 Claes Andersson , Alexander Hellervik , Kristian Lindgren

This paper considers incentives to provide goods that are partially shareable along social links. We introduce a model in which each individual in a social network not only decides how much of a shareable good to provide, but also decides…

Theoretical Economics · Economics 2023-06-05 Stefanie Gerke , Gregory Gutin , Sung-Ha Hwang , Philip Neary

Predicting human mobility patterns has many practical applications in urban planning, traffic engineering, infectious disease epidemiology, emergency management and location-based services. Developing a universal model capable of accurately…

Physics and Society · Physics 2019-04-22 Erjian Liu , Xiao-Yong Yan

Despite the recent availability of large data sets on human movements, a full understanding of the rules governing motion within social systems is still missing, due to incomplete information on the socio-economic factors and to often…

Physics and Society · Physics 2012-06-15 Michael Szell , Roberta Sinatra , Giovanni Petri , Stefan Thurner , Vito Latora

We investigate a class of binary choice models with social interactions. We propose a unifying perspective that integrates economic models using a utility function and psychological models using an impact function. A general approach for…

Scale-free networks are frequently described as the zenith of inequality and sometimes even pin-pointed as a natural cause of concentrations, including accumulation of resources in human society. Although coherent with theory and empirical…

Physics and Society · Physics 2017-11-17 Renato Fabbri , Marilia M. Pisani

Within a general semimartingale framework, we study the relationship between collective market efficiency and individual rationality. We derive a necessary and sufficient condition for the existence of (possibly zero-sum) exchanges among…

Mathematical Finance · Quantitative Finance 2026-04-06 Alessandro Doldi , Marco Frittelli , Marco Maggis

In addition to the well known common properties such as small world and community structures, recent empirical investigations suggest a universal scaling law for the spatial structure of social networks. It is found that the probability…

Physics and Society · Physics 2010-02-10 Yanqing Hu , Yougui Wang , Daqing Li , Shlomo Havlin , Zengru Di

We provide sufficient conditions under which a utility function may be recovered from a finite choice experiment. Identification, as is commonly understood in decision theory, is not enough. We provide a general recoverability result that…

Theoretical Economics · Economics 2023-01-30 Christopher P. Chambers , Federico Echenique , Nicolas S. Lambert

Recent literature in the last Maximum Entropy workshop introduced an analogy between cumulative probability distributions and normalized utility functions. Based on this analogy, a utility density function can de defined as the derivative…

Artificial Intelligence · Computer Science 2009-11-10 Ali E. Abbas

An heuristic model of the society, as an assembly of weakly interacting individuals, is discussed. The model allows to connect macroscopic phenomena with features of relations between individuals. Addressing to the problem of inequality, a…

Biological Physics · Physics 2023-10-16 Vladimir Pokrovskii

Group fairness definitions such as Demographic Parity and Equal Opportunity make assumptions about the underlying decision-problem that restrict them to classification problems. Prior work has translated these definitions to other machine…

Machine Learning · Computer Science 2023-11-28 Jack Blandin , Ian Kash

We present a general holistic theory for the organization of complex networks, both human-engineered and naturally-evolved. Introducing concepts of value of interactions and satisfaction as generic network performance measures, we show that…

Adaptation and Self-Organizing Systems · Physics 2007-07-13 Venkat Venkatasubramanian , Dimitris N. Politis , Priyan R. Patkar

Standard decision theory seeks conditions under which a preference relation can be compressed into a single real-valued function. However, when preferences are incomplete or intransitive, a single function fails to capture the agent's…

Theoretical Economics · Economics 2026-02-05 Safal Raman Aryal

Cities worldwide struggle with overloaded transportation systems and their externalities. The emerging autonomous transportation technology has the potential to alleviate these issues, but the decisions of profit-maximizing operators…

Systems and Control · Electrical Eng. & Systems 2023-12-27 Nicolas Lanzetti , Maximilian Schiffer , Michael Ostrovsky , Marco Pavone

The random utility model (RUM, McFadden and Richter, 1990) has been the standard tool to describe the behavior of a population of decision makers. RUM assumes that decision makers behave as if they maximize a rational preference over a…

General Economics · Economics 2022-07-05 Victor H. Aguiar , Maria Jose Boccardi , Nail Kashaev , Jeongbin Kim