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Current travel demand models are unable to predict long-range trends in travel behavior as they do not entail a mechanism that projects membership and market share of new modes of transport (Uber, Lyft, etc). We propose integrating discrete…

Applications · Statistics 2017-07-25 Feras El Zarwi , Akshay Vij , Joan Walker

We study a stochastic epidemic model consisting of elements (organisms in a community or cells in tissue) with fixed positions, in which damage or disease is transmitted by diffusing agents ("signals") emitted by infected individuals. The…

Populations and Evolution · Quantitative Biology 2015-06-05 Fernando P. Faria , Ronald Dickman

When opinion spread is studied, peer pressure is often modeled by interactions of more than two individuals (higher-order interactions). In our work, we introduce a two-layer random hypergraph model, in which hyperedges represent households…

Social and Information Networks · Computer Science 2025-12-30 Ágnes Backhausz , Villő Csiszár , Balázs Csegő Kolok , Damján Tárkányi , András Zempléni

When a new product or technology is introduced, potential consumers can learn its quality by trying the product, at a risk, or by letting others try it and free-riding on the information that they generate. We propose a dynamic game to…

Economics · Quantitative Finance 2017-06-27 Matt V. Leduc , Matthew O. Jackson , Ramesh Johari

We consider the problem of distributed inference where agents in a network observe a stream of private signals generated by an unknown state, and aim to uniquely identify this state from a finite set of hypotheses. We focus on scenarios…

Systems and Control · Electrical Eng. & Systems 2021-09-01 Aritra Mitra , John A. Richards , Saurabh Bagchi , Shreyas Sundaram

The role of perception in conscious behavior and decision-making is examined. The effect of spatial and temporal stochasticity in the acquisition of beliefs is discussed. The idea of an agent as a locally strongly coupled group of states…

Adaptation and Self-Organizing Systems · Physics 2009-01-27 Fariel Shafee

We study the dynamics of two conservative lattice gas models on the infinite d-dimensional hypercubic lattice: the Activated Random Walks (ARW) and the Stochastic Sandpiles Model (SSM), introduced in the physics literature in the early…

Probability · Mathematics 2014-12-23 Vladas Sidoravicius , Augusto Teixeira

The vast majority of recommender systems model preferences as static or slowly changing due to observable user experience. However, spontaneous changes in user preferences are ubiquitous in many domains like media consumption and key…

Human-Computer Interaction · Computer Science 2016-10-24 Arun Kumar , Paul Schrater

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase the variety of technologies, not their average success…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Martin Treiber , Nicole J. Saam

The nodes of a regular two-dimensional lattice play a game based on the joint action of two distinct levels. At the first step of the game, using a random prescription half players are assigned the cooperation and half the defection state.…

Physics and Society · Physics 2015-12-02 Korosh Mahmoodi , Paolo Grigolini

Distributed decision-makers are modeled as players in a game with two levels. High level decisions concern the game environment and determine the willingness of the players to form a coalition (or group). Low level decisions involve the…

Computer Science and Game Theory · Computer Science 2013-02-28 Edward A. Billard

The diffusion of ideas is often closely connected to the creation and diffusion of knowledge and to the technological evolution of society. Because of this, knowledge creation, exchange and its subsequent transformation into innovations for…

Physics and Society · Physics 2012-08-31 Nikolay K. Vitanov , Marcel R. Ausloos

We propose a modification in the Sznajd sociophysics model defined on the square lattice. For this purpose, we consider reputation-a mechanism limiting the agents' persuasive power. The reputation is introduced as a time-dependent score,…

Physics and Society · Physics 2012-03-06 Nuno Crokidakis , Fabricio L. Forgerini

This paper analyzes a model of innovation diffusion with case-based individuals a la Gilboa and Schmeidler (1995,1996,1997), who decide whether to consume an incumbent or a new product based on their and their social neighbors' previous…

Theoretical Economics · Economics 2023-01-30 Benson Tsz Kin Leung

A multi-agent model for individuals endowed with strategies and subject to diffusive effects is proposed. The microscopic state of each agent is described by a spatial position and a probability measure, interpreted as a mixed strategy,…

Analysis of PDEs · Mathematics 2026-03-24 Alessandro Baldi , Marco Morandotti

We propose a one-dimensional nonlocal stochastic model of adsorption and desorption depending on one parameter, the adsorption rate. At a special value of this parameter, the model has some interesting features. For example, the spectrum is…

Statistical Mechanics · Physics 2009-11-10 Jan de Gier , Bernard Nienhuis , Paul A. Pearce , Vladimir Rittenberg

We introduce the confident voter model, in which each voter can be in one of two opinions and can additionally have two levels of commitment to an opinion --- confident and unsure. Upon interacting with an agent of a different opinion, a…

Physics and Society · Physics 2015-03-19 D. Volovik , S. Redner

We present a method for active inference with partial observations in stochastic systems through incentive design, also known as the leader-follower game. Consider a leader agent who aims to infer a follower agent's type given a finite set…

Systems and Control · Electrical Eng. & Systems 2025-02-12 Xinyi Wei , Chongyang Shi , Shuo Han , Ahmed H. Hemida , Charles A. Kamhoua , Jie Fu

Technology adoption theories assume that users' acceptance of an innovative technology is on a voluntary basis. However, sometimes users are force to accept an innovation. In this case users have to learn what it is useful for and how to…

Computers and Society · Computer Science 2013-07-08 Tao Zhang , Peer-Olaf Siebers , Uwe Aickelin

We develop an agent-based model on a lattice to investigate territorial development motivated by markings such as graffiti, generalizing a previously-published model to account for $K$ groups instead of two groups. We then analyze this…

Physics and Society · Physics 2021-04-27 Abdulaziz Alsenafi , Alethea B. T. Barbaro
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