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Coupled Ising models are studied in a discrete choice theory framework, where they can be understood to represent interdependent choice making processes for homogeneous populations under social influence. Two different coupling schemes are…

Physics and Society · Physics 2020-03-10 Ana Fernández del Río , Elka Korutcheva , Javier de la Rubia

It is commonly accepted that some phenomena are social: for example, individuals' smoking habits often correlate with those of their peers. Such correlations can have a variety of explanations, such as direct contagion or shared…

Statistics Theory · Mathematics 2025-08-08 William W. Wang , Ali Jadbabaie

Adaptive populations such as those in financial markets and distributed control can be modeled by the Minority Game. We consider how their dynamics depends on the agents' initial preferences of strategies, when the agents use linear or…

Statistical Finance · Quantitative Finance 2009-11-13 H. M. Yang , Y. S. Ting , K. Y. Michael Wong

We study the consumption behaviour of an asymmetric network of heterogeneous agents in the framework of discrete choice models with stochastic decision rules. We assume that the interactions among agents are uniquely specified by their…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giulia Iori , Vassilis Koulovassilopoulos

In an empirical study of persuasion, researchers often use a binary instrument to encourage individuals to consume information and take some action. We show that, with a binary Imbens-Angrist instrumental variable model and the monotone…

Econometrics · Economics 2025-07-02 Zeyang Yu

Interest is growing in social learning models where users share opinions and adjust their beliefs in response to others. This paper introduces generalized-bias opinion models, an extension of the DeGroot model, that captures a broader range…

Social and Information Networks · Computer Science 2024-09-18 Juan Paz , Camilo Rocha , Luis Tobòn , Frank Valencia

We construct and analyze a random graph model for discrete choice with social interaction and several groups of equal size. We concentrate on the case of two groups of equal sizes and we allow the interaction strength within a group to…

Probability · Mathematics 2020-07-15 Matthias Löwe , Kristina Schubert , Franck Vermet

Standard macroeconomic models assume that households are rational in the sense that they are perfect utility maximizers, and explain economic dynamics in terms of shocks that drive the economy away from the stead-state. Here we build on a…

General Economics · Economics 2019-07-05 Yuki M. Asano , Jakob J. Kolb , Jobst Heitzig , J. Doyne Farmer

A new modeling framework for bipartite social networks arising from a sequence of partially time-ordered relational events is proposed. We directly model the joint distribution of the binary variables indicating if each single actor is…

Methodology · Statistics 2018-10-23 Francesco Bartolucci , Antonietta Mira , Stefano Peluso

Indirect reciprocity maintains cooperation in stranger societies by mapping individual behaviors onto reputation signals via social norms. Existing theoretical frameworks assume static environments with constant resources and fixed payoff…

Physics and Society · Physics 2026-02-04 Yishen Jiang , Xin Wang , Ming Wei , Wenqiang Zhu , Longzhao Liu , Hongwei Zheng , Shaoting Tang

Reciprocity, or the tendency of individuals to mirror behavior, is a key measure that describes information exchange in a social network. Users in social networks tend to engage in different levels of reciprocal behavior. Differences in…

Machine Learning · Statistics 2023-08-22 Daniel Cirkovic , Tiandong Wang

Background: Any sample of individuals has its own, unique distribution of preferences for choices that they make. Discrete choice models try to capture these distributions. Mixed logits are by far the most commonly used choice model in…

Econometrics · Economics 2025-06-18 John Buckell , Alice Wreford , Matthew Quaife , Thomas O. Hancock

In randomized clinical trials, adjusting for baseline covariates can improve credibility and efficiency for demonstrating and quantifying treatment effects. This article studies the augmented inverse propensity weighted (AIPW) estimator,…

Methodology · Statistics 2024-03-27 Marlena S. Bannick , Jun Shao , Jingyi Liu , Yu Du , Yanyao Yi , Ting Ye

We study the interaction between network effects and external incentives on file sharing behavior in Peer-to-Peer (P2P) networks. Many current or envisioned P2P networks reward individuals for sharing files, via financial incentives or…

Networking and Internet Architecture · Computer Science 2011-08-04 Mahyar Salek , Shahin Shayandeh , David Kempe

The outcomes of elections, product sales, and the structure of social connections are all determined by the choices individuals make when presented with a set of options, so understanding the factors that contribute to choice is crucial. Of…

Machine Learning · Computer Science 2020-11-09 Kiran Tomlinson , Austin R. Benson

In many applications involving binary variables, only pairwise dependence measures, such as correlations, are available. However, for multi-way tables involving more than two variables, these quantities do not uniquely determine the joint…

Methodology · Statistics 2026-01-13 Roberto Fontana , Elisa Perrone , Fabio Rapallo

We present a model that investigates preference evolution with endogenous matching. In the short run, individuals' subjective preferences influence partner selection and behavior in strategic interactions, which affect their material…

Theoretical Economics · Economics 2025-04-30 Ziwei Wang , Jiabin Wu

Individuals are always limited by some inelastic resources, such as time and energy, which restrict them to dedicate to social interaction and limit their contact capacity. Contact capacity plays an important role in dynamics of social…

Physics and Society · Physics 2015-12-25 Wei Wang , Panpan Shu , Yu-Xiao Zhu , Ming Tang , Yi-Cheng Zhang

Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity between pairs of individuals' attitudinal states to their…

Physics and Society · Physics 2015-06-12 Jonathan Ward , Peter Grindrod

Two main procedures characterize the way in which social actors evaluate the qualities of the options in decision-making processes: they either seek to evaluate their intrinsic qualities (individual learners), or they rely on the opinion of…

Physics and Society · Physics 2024-07-31 Arkadiusz Jędrzejewski , Laura Hernández