# Anti-conformism in the Threshold Model of Collective Behavior

@article{Grabisch2020AnticonformismIT, title={Anti-conformism in the Threshold Model of Collective Behavior}, author={Michel Grabisch and Fen Li}, journal={Dynamic Games and Applications}, year={2020}, volume={10}, pages={444-477} }

We provide a detailed study of the threshold model, where both conformist and anti-conformist agents coexist. Our study bears essentially on the convergence of the opinion dynamics in the society of agents, i.e., finding absorbing classes, cycles, etc. Also, we are interested in the existence of cascade effects, as this may constitute an undesirable phenomenon in collective behavior. We divide our study into two parts. In the first one, we basically study the threshold model supposing a fixed…

## Figures, Tables, and Topics from this paper

## 8 Citations

Continuous opinion dynamics with anti-conformity behavior

- 2021

We propose an appropriate updating rule of continuous opinions for modeling anti-conformity behavior, defined according to the repelling function, which gives the shift of the opinion based on the…

A general model of synchronous updating with binary opinions

- Computer Science
- 2019

A society of agents making an iterated yes/no decision on some issue, where updating is done by mutual influence under a Markovian process, which captures several notions, including conformism, anti-conformism, communitarianism and leadership is considered.

Symmetrical threshold model with independence on random graphs.

- Physics, MedicinePhysical review. E
- 2020

The homogeneous symmetrical threshold model with independence (noise) by pair approximation and Monte Carlo simulations on Erdős-Rényi and Watts-Strogatz graphs is studied and the appearance of social hysteresis in models of opinion dynamics is desirable.

A Survey on Nonstrategic Models of Opinion Dynamics

- Computer ScienceGames
- 2020

In the survey, a special attention is paid to modeling nonconformity (in particular, anticonformity) behavior in models of opinion dynamics that assume non-Bayesian updating of opinions.

Modeling strategies for information influence dissemination in social networks

- Computer ScienceJournal of Ambient Intelligence and Humanized Computing
- 2021

This research presents a thorough study of the strategies deployed for information dissemination on social networks, modeled for identifying factors proving pivotal in influencing public opinions, based on computer modeled of the social network structure alongside modeling of the behavior of network users.

Equilibria and learning dynamics in mixed network coordination/anti-coordination games

- Computer Science, EngineeringArXiv
- 2021

This work first provides graph-theoretic conditions for the existence of pure-strategy Nash equilibria in mixed network coordination/anti-coordination games of arbitrary size, and then studies the asymptotic behavior of best-response dynamics and provides sufficient conditions for finite-time convergence to the set of NashEquilibria.

In search for the social hysteresis -- the symmetrical threshold model with independence on Watts-Strogatz graphs.

- Physics, Mathematics
- 2020

We study the homogeneous symmetrical threshold model with independence (noise) by pair approximation and Monte Carlo simulations on Watts-Strogatz graphs. The model is a modified version of the…

On games with coordinating and anti-coordinating agents

- Computer ScienceArXiv
- 2019

This work provides a complete characterization of the set of Nash equilibria for games with mixed coordinating and anti-coordinating agents with heterogeneous utilities interacting on an all-to-all network.

## References

SHOWING 1-10 OF 37 REFERENCES

A model of anonymous influence with anti-conformist agents

- Computer Science, PhysicsArXiv
- 2019

A stochastic model of anonymous influence with conformist and anti-conformist individuals, which considers anonymous influence, which depends on the number of agents having a certain opinion, but not on their identity, is studied.

Homogeneous Symmetrical Threshold Model with Nonconformity: Independence versus Anticonformity

- Computer Science, PhysicsComplex.
- 2019

It is shown that indeed if the threshold corresponds to the majority-vote model, an order-disorder transition is continuous, and results obtained for both versions of the model give the same results, only rescaled by the factor of 2.

Contrarian deterministic effects on opinion dynamics: “the hung elections scenario”

- Mathematics, Physics
- 2004

We study the effects of contrarians on the dynamics of opinion forming using the 2-state Galam opinion dynamics model. In a single update step, groups of a given size are defined and all agents in…

The hipster effect: When anti-conformists all look the same

- Mathematics, Computer ScienceDiscrete & Continuous Dynamical Systems - B
- 2019

This study introduces a class of simple statistical systems of interacting agents composed of mainstreams and anti-conformists in the presence of delays, possibly heterogeneous, in the transmission of information, and expresses the thermodynamic limit of these systems as the number of agents diverge, and investigates the solutions of the limit equation.

Anticonformity or Independence?—Insights from Statistical Physics

- Mathematics
- 2013

The aim of this paper is to examine how different types of social influence, introduced on the microscopic (individual) level, manifest on the macroscopic level, i.e. in the society. The inspiration…

Hipsters on networks: How a minority group of individuals can lead to an antiestablishment majority

- Physics, Computer SciencePhysical review. E
- 2019

This paper considers a model in which spreading follows a deterministic rule for updating node states (which indicate which product has been adopted) in which an adjustable probability pHip of the nodes in a network are hipsters, who choose to adopt the product that they believe is the less popular of the two.

Fashion, Cooperation, and Social Interactions

- Physics, MedicinePloS one
- 2013

Simulation shows that simple social interactions greatly promote cooperation: in most cases people can reach an extraordinarily high level of cooperation, through a selfish, myopic, naive, and local interacting dynamic (the best response dynamic).

Network Formation, Cost-Sharing and Anti-Coordination

- Economics, Computer ScienceIGTR
- 2009

A model where agents choose their neighbors as well as a mode of behavior in 2 × 2 anti-coordination games, i.e. games where an individual's best response is to behave differently than the opponent is presented.

A simple model of global cascades on random networks

- Computer Science, MedicineProceedings of the National Academy of Sciences of the United States of America
- 2002

It is shown that heterogeneity plays an ambiguous role in determining a system's stability: increasingly heterogeneous thresholds make the system more vulnerable to global cascades; but anincreasingly heterogeneous degree distribution makes it less vulnerable.

Threshold Models of Collective Behavior

- SociologyAmerican Journal of Sociology
- 1978

Models of collective behavior are developed for situations where actors have two alternatives and the costs and/or benefits of each depend on how many other actors choose which alternative. The key…