Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Distributed Loads: Problem Solving

Distributed Loads: Problem Solving

Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...

Vector Algebra: Graphical Method

Vector Algebra: Graphical Method

Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...

Alternative Sets of Equilibrium Equations

Alternative Sets of Equilibrium Equations

When analyzing the behavior of structures, engineers often rely on the concept of equilibrium. This refers to the state where all forces and moments acting on a system balance each other, resulting in no net movement or rotation. In many cases, equilibrium can be described by a set of standard equations. However, in some situations, alternative sets of equilibrium equations must be used to describe the system's behavior accurately.
One example of such a situation can be observed in a...

Collisions in Multiple Dimensions: Problem Solving

Collisions in Multiple Dimensions: Problem Solving

In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...

Statically Indeterminate Problem Solving

Statically Indeterminate Problem Solving

Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...

Castigliano's Theorem: Problem Solving

Castigliano's Theorem: Problem Solving

The deflection of a simply supported beam that carries a central point load can be analyzed using structural mechanics principles, particularly by applying Castigliano's theorem. This theorem relates the displacement at the load application point to the partial derivatives of the strain energy in the structure. The simply supported beam with a point load at its center has symmetric reaction forces at the supports, each bearing half of the load. The bending moment at any point along the beam...

You might also read

Related Articles

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

Sort by

Same author

Pelvic MRI-based machine learning models for age estimation and age threshold classification in living children and young adults.

International journal of legal medicine·2026

Same author

Comprehensive assessment of minors' biological profiles using explainable machine learning: the assessment of age, stature, body mass, and sex.

International journal of legal medicine·2026

Same author

Operating room performance metrics of anesthesia and surgery duration: a descriptive analysis of emergency surgical cases.

BMC medical informatics and decision making·2026

Same author

Earliest evidence of smoke-dried mummification: More than 10,000 years ago in southern China and Southeast Asia.

Proceedings of the National Academy of Sciences of the United States of America·2025

Same author

The electromagnetic characteristics analysis and the control of a new axial flux permanent magnet machine with a double-PCB stator.

The Review of scientific instruments·2025

Same author

Earliest evidence of rice cultivation in Remote Oceania: Ritual use by the first islanders in the Marianas 3500 years ago.

Science advances·2025

Same journal

Hidden Data Recovery and Forecasting via Next-Generation Reservoir Computing With Multiscale Delay Selection.

IEEE transactions on neural networks and learning systems·2026

Same journal

CAFF-CIL: Causality-Aware Freedom Forgetting Approach for Class-Incremental Learning.

IEEE transactions on neural networks and learning systems·2026

Same journal

Harmonic Autoencoding Framework for Multiple Tasks in Magnetic Particle Imaging Reconstruction.

IEEE transactions on neural networks and learning systems·2026

Same journal

A Survey on Human-Centric Voice-Face Multimodal Learning.

IEEE transactions on neural networks and learning systems·2026

Same journal

Vision-Assisted Foundation Model for Solving Multitask Vehicle Routing Problems.

IEEE transactions on neural networks and learning systems·2026

Same journal

FP3O: Enabling Proximal Policy Optimization in Multiagent Cooperation With Parameter-Sharing Versatility.

IEEE transactions on neural networks and learning systems·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Jul 24, 2025

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Distributed Online Learning Algorithm for Noncooperative Games Over Unbalanced Digraphs.

Zhenhua Deng, Xiaolong Zuo

IEEE Transactions on Neural Networks and Learning Systems

|July 4, 2023

Summary

This summary is machine-generated.

This study introduces a novel algorithm for constrained online noncooperative games in multiagent systems, achieving sublinear dynamic regrets and constraint violations for generalized Nash equilibrium.

More Related Videos

The Collective Trust Game: An Online Group Adaptation of the Trust Game Based on the HoneyComb Paradigm

The Collective Trust Game: An Online Group Adaptation of the Trust Game Based on the HoneyComb Paradigm

Published on: October 20, 2022

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Related Experiment Videos

Last Updated: Jul 24, 2025

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

The Collective Trust Game: An Online Group Adaptation of the Trust Game Based on the HoneyComb Paradigm

The Collective Trust Game: An Online Group Adaptation of the Trust Game Based on the HoneyComb Paradigm

Published on: October 20, 2022

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

Control Theory
Game Theory
Optimization

Background:

Investigates complex multiagent systems with time-varying costs and constraints.
Addresses the novelty of online games over unbalanced digraphs, a gap in existing research.
Highlights the challenge of time-varying coupling nonlinear inequality constraints.

Purpose of the Study:

To develop a distributed learning algorithm for seeking variational generalized Nash equilibrium (GNE) in constrained online noncooperative games.
To analyze the performance of the proposed algorithm in terms of dynamic regrets and constraint violations.
To demonstrate the algorithm's applicability through online electricity market games.

Main Methods:

A distributed learning algorithm combining gradient descent, projection, and primal-dual methods.
Analysis of sublinear dynamic regrets and constraint violations.
Illustrative case study using online electricity market games.

Main Results:

The proposed algorithm achieves sublinear dynamic regrets and constraint violations.
Successfully seeks the variational generalized Nash equilibrium (GNE) in the studied game settings.
Demonstrates practical utility in dynamic online market scenarios.

Conclusions:

The developed algorithm offers an effective solution for constrained online noncooperative games over unbalanced digraphs.
Establishes theoretical guarantees for dynamic regrets and constraint violations.
Provides a valuable framework for analyzing and controlling complex multiagent systems in dynamic environments.