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Actual individual preferences are neither complete (=total) nor antisymmetric in general, so that at least every quasi-order must be an admissible input to a satisfactory choice rule. It is argued that the traditional notion of…

Combinatorics · Mathematics 2007-05-23 Jobst Heitzig

We use a model of opinion formation to study the consequences of some mechanisms attempting to enforce the right behaviour in a society. We start from a model where the possible choices are not equivalent (such is the case when the agents…

Physics and Society · Physics 2012-12-18 M. F. Laguna , G. Abramson , J. R. Iglesias

We study the consequences of introducing individual nonconformity in social interactions, based on Axelrod's model for the dissemination of culture. A constraint on the number of situations in which interaction may take place is introduced…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 A. Parravano , H. Rivera-Ramirez , M. G. Cosenza

The Minority Game framework was recently generalized to account for the possibility that agents adapt not only through strategy selection but also by diversifying their response according to the kind of dynamical regime, or the risk, they…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Tedeschi , A. De Martino , I. Giardina

There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept…

Physics and Society · Physics 2019-07-24 Isaac Klickstein , Louis Pecora , Francesco Sorrentino

In this paper, we consider a population of individuals who have actions and opinions, which coevolve, mutually influencing one another on a complex network structure. In particular, we formulate a control problem for this social network, in…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Roberta Raineri , Mengbin Ye , Lorenzo Zino

The ability to learn from others (social learning) is often deemed a cause of human species success. But if social learning is indeed more efficient (whether less costly or more accurate) than individual learning, it raises the question of…

Physics and Society · Physics 2021-01-01 Benoît de Courson , Léo Fitouchi , Jean-Philippe Bouchaud , Michael Benzaquen

Classifiers that achieve demographic balance by explicitly using protected attributes such as race or gender are often politically or culturally controversial due to their lack of individual fairness, i.e. individuals with similar…

Machine Learning · Statistics 2019-09-15 Guy W. Cole , Sinead A. Williamson

Decision-making individuals are typically either an imitator, who mimics the action of the most successful individual(s), a conformist (or coordinating individual), who chooses an action if enough others have done so, or a nonconformist (or…

Dynamical Systems · Mathematics 2022-02-11 Hien Le , Mohaddeseh Rajaee , Pouria Ramazi

We elucidate the dynamics of ongoing collective action among intentional agents with diverse beliefs and imperfect information. Their decisions on whether or not to contribute to the collective good depend not only on the past but also on…

chao-dyn · Physics 2009-09-25 Bernardo Huberman , Natalie Glance

For models of concurrent and distributed systems, it is important and also challenging to establish correctness in terms of safety and/or liveness properties. Theories of distributed systems consider equivalences fundamental, since they (1)…

Logic in Computer Science · Computer Science 2017-12-01 Tobias Prehn , Stephan Mennicke

Altruistic behaviour is disadvantageous for the individual while is advantageous for its group. If the target of the selection is the individual, one would expect the selection process to lead to populations formed by wholly homogeneous…

adap-org · Physics 2008-02-03 R. Donato , L. Peliti , M. Serva

The conformity bias exhibited by large language models (LLMs) can pose a significant challenge to decision-making in LLM-based multi-agent systems (LLM-MAS). While many prior studies have treated "conformity" simply as a matter of opinion…

Artificial Intelligence · Computer Science 2026-04-22 Mikako Bito , Keita Nishimoto , Kimitaka Asatani , Ichiro Sakata

The question how social norms can emerge from microscopic interactions between individuals is a key problem in social sciences to explain collective behavior. In this paper we propose an agent-based model to show that randomly distributed…

Adaptation and Self-Organizing Systems · Physics 2008-09-07 Thomas Fent , Patrick Groeber , Frank Schweitzer

Observable social traits determine how we interact in society and remain pervasive even in our globalized world. While a popular hypothesis states that they may help promote cooperation, the alternative explanation that they facilitate…

Physics and Society · Physics 2020-09-14 Juan Ozaita , Andrea Baronchelli , Angel Sánchez

This article presents a formal model demonstrating that genuine autonomy, the ability of a system to self-regulate and pursue objectives, fundamentally implies computational unpredictability from an external perspective. we establish…

Artificial Intelligence · Computer Science 2025-09-17 Poria Azadi

Innovation is fundamental for development and provides a competitive advantage for societies. It is the process of creating more complex technologies, ideas, or protocols from existing ones. While innovation may be created by single agents…

Physics and Society · Physics 2024-09-16 Fatemeh Zarei , Jan Ryckebusch , Koen Schoors , Luis E C Rocha

From a mathematical point of view self-organization can be described as patterns to which certain dynamical systems modeling social dynamics tend spontaneously to be attracted. In this paper we explore situations beyond self-organization,…

Optimization and Control · Mathematics 2014-03-24 Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

This paper introduces a conformal inference method to evaluate uncertainty in classification by generating prediction sets with valid coverage conditional on adaptively chosen features. These features are carefully selected to reflect…

Machine Learning · Statistics 2024-10-31 Yanfei Zhou , Matteo Sesia

We introduce the notion of uniform exactness, or uniform amenability at infinity, for discrete groups and prove it for a wide class of groups containing free groups and their limit groups. This shows a novel strong convergence phenomenon…

Group Theory · Mathematics 2026-05-01 Narutaka Ozawa