Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Deterministic dynamics in the minority game.

P Jefferies1, M L Hart, N F Johnson

  • 1Physics Department, Clarendon Laboratory, Oxford University, Oxford OX1 3PU, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The Tutor of Resilience Program with Children Who Have Experienced Maltreatment: Mothers' Involvement Matters.

Child psychiatry and human development·2022
Same author

Online hate network spreads malicious COVID-19 content outside the control of individual social media platforms.

Scientific reports·2021
Same author

Hidden order across online extremist movements can be disrupted by nudging collective chemistry.

Scientific reports·2021
Same author

A preliminary study of cerebral blood flow, aging and dementia in people with Down syndrome.

Journal of intellectual disability research : JIDR·2020
Same author

Hidden resilience and adaptive dynamics of the global online hate ecology.

Nature·2019
Same author

Emergent dynamics of extremes in a population driven by common information sources and new social media algorithms.

Scientific reports·2019

The minority game (MG) is a stochastically disturbed deterministic system. Averaging reveals deterministic dynamics, showing how antipersistence arises from quenched disorder and market impact.

Area of Science:

  • Complex systems
  • Game theory
  • Statistical mechanics

Background:

  • The minority game (MG) exhibits dynamics influenced by stochasticity from tie-breaking mechanisms.
  • Understanding the deterministic core of such systems is crucial for modeling collective behavior.

Purpose of the Study:

  • To analyze the deterministic dynamics of the minority game by averaging over stochasticity.
  • To derive analytical expressions for strategy scores and global information.
  • To investigate the emergence of antipersistence and system responses to perturbations.

Main Methods:

  • Stochastic averaging to derive mapping equations for system dynamics.
  • Analytical derivation of expressions for strategy score and global information maps.
  • Analysis of system behavior on a de Bruijn graph representation.

Related Experiment Videos

Main Results:

  • The strategy-score map includes restoring-force and bias terms dependent on quenched disorder.
  • Approximate analytical expressions for these terms were obtained.
  • Antipersistence was analytically demonstrated to arise from quenched disorder, particularly for small disorder levels where a Eulerian trail acts as a stable attractor.

Conclusions:

  • The minority game's complex behavior can be understood through its underlying deterministic dynamics.
  • Quenched disorder plays a significant role in shaping system properties like antipersistence.
  • The de Bruijn graph framework provides insights into the system's trajectory and stability.