Jove
Visualize
Contact Us

Related Experiment Videos

A decentralized process for finding equilibria given by linear equations.

S Reiter1

  • 1Center for Mathematical Studies in Economics and Management Science, Northwestern University, Evanston, IL 60208, USA.

Proceedings of the National Academy of Sciences of the United States of America
|July 19, 1994
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

Observation of the Radiative Decay D_{s0}^{*}(2317)^{+}→D_{s}^{*+}γ.

Physical review letters·2026
Same author

First Search for B→X_{s}νν[over ¯] Decays.

Physical review letters·2026
Same author

Search for Feebly Interacting Particles in B Decays with Missing Energy at Belle.

Physical review letters·2026
Same author

Search for B^{0}→K^{*0}τ^{+}τ^{-} Decays at the Belle II Experiment.

Physical review letters·2025
Same author

Search for a Dark Higgs Boson Produced in Association with Inelastic Dark Matter at the Belle II Experiment.

Physical review letters·2025
Same author

Structured clinical evaluation for rapid identification of temporomandibular joint closed lock.

International journal of oral and maxillofacial surgery·2025
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

This study introduces a decentralized method to find all economic equilibria using linear conditions. The process efficiently identifies all solutions or confirms none exist, outperforming other decentralized approaches.

Area of Science:

  • Economics
  • Computer Science
  • Applied Mathematics

Background:

  • Finding economic equilibria is crucial for understanding market dynamics.
  • Existing decentralized processes for equilibrium computation can be complex and inefficient.
  • Linear equilibrium conditions are common in many economic models.

Purpose of the Study:

  • To present a novel decentralized process for identifying economic equilibria.
  • To ensure the process finds all equilibria or reports their absence.
  • To analyze the computational and communication complexity of the proposed method.

Main Methods:

  • A decentralized algorithm designed for systems with a finite number of linear equilibrium conditions.
  • The process guarantees termination in a finite number of steps, bounded by the number of equations.

Related Experiment Videos

  • Interpretation of the process as an algorithm for solving distributed systems of linear equations.

    • Main Results:

    • The developed decentralized process successfully finds all economic equilibria.
    • The method efficiently determines the absence of equilibria when none exist.
    • Favorable comparisons in communication and computational complexity against existing decentralized processes.

    Conclusions:

    • The proposed decentralized process offers an efficient and robust method for finding economic equilibria.
    • The algorithm's performance is competitive, particularly in distributed computing environments.
    • The process provides a valuable tool for solving distributed linear systems with economic applications.