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

Application of Differentiation to Business

Application of Differentiation to Business

Calculus offers essential techniques for businesses seeking to optimize pricing strategies and revenue. In this case, a bakery wants to determine the ideal price and daily sales volume to maximize revenue. By modeling how changes in price affect demand and revenue, the bakery can apply calculus to make data-driven decisions.The demand function relates the price per cupcake to the number of cupcakes sold and captures how lower prices increase sales. Based on market data, the demand function can...

Modeling with Differential Equations

Modeling with Differential Equations

Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...

First Derivative Test: Problem Solving

First Derivative Test: Problem Solving

Imagine an asset price that crashes to a low point, rebounds sharply as bargain-hunters step in, and then gradually declines. Such behavior can be modeled with a smooth function whose turning points represent locally overvalued and undervalued regions. A convenient example that captures rebound followed by decay is:The high and low points of this curve are identified using the first derivative test, which determines where the function changes from increasing to decreasing or vice versa. To...

Dynamic Equilibrium

Dynamic Equilibrium

A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...

Implicit Differentiation with Partial Derivatives

Implicit Differentiation with Partial Derivatives

Implicit differentiation with partial derivatives is used when a relationship between two variables is defined implicitly rather than explicitly. Instead of solving one variable in terms of the other, the variables remain connected through a single equation. In this setting, one variable is treated as depending on the other, and differentiation is applied directly to the entire relation.To differentiate an implicit relation, the chain rule is applied to every term in the equation. Because one...

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...

You might also read

Related Articles

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

Sort by

Same author

SPARC is associated with tumor nerve stroma interactions and perineural invasion in pancreatic ductal adenocarcinoma.

Scientific reports·2026

Same author

[Ulcerative Colitis-Associated Cancer Resembling a Submucosal Tumor-A Case Report].

Gan to kagaku ryoho. Cancer & chemotherapy·2026

Same author

Lambert W Function in Solving Delay Differential Equations for Modeling in Economics and Finance.

Nonlinear dynamics, psychology, and life sciences·2025

Same author

Laparoscopy-assisted total colectomy for progressive megacolon due to intestinal ganglioneuromatosis in a young adult with multiple endocrine neoplasia type 2B: a case report.

International journal of surgery case reports·2025

Same author

ASO Visual Abstract: Mesenteric Lymph Node Involvement as a Prognostic Factor in Ovarian Cancer: A Study Using a Standardized Detection Method.

Annals of surgical oncology·2025

Same author

ASO Author Reflections: Standardized Detection of Mesenteric Lymph Nodes as a Prognostic Tool in Ovarian Cancer.

Annals of surgical oncology·2025

Search research articles

Related Experiment Video

Updated: Jul 14, 2026

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Published on: January 9, 2016

Delayed nonlinear cournot and bertrand dynamics with product differentiation.

Akio Matsumoto¹, Ferenc Szidarovszky

¹Chuo University, 742-1, Higashi-Nakano, Hachioji, Tokyo, 192-0393, Japan.

Nonlinear Dynamics, Psychology, and Life Sciences

|June 19, 2007

Summary

This study analyzes dynamic duopolies, finding stable equilibria under normal conditions. However, using delayed information can destabilize market dynamics, highlighting complex firm behaviors in pricing and quantity adjustments.

Related Experiment Videos

Last Updated: Jul 14, 2026

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Published on: January 9, 2016

Area of Science:

Economics
Game Theory
Industrial Organization

Background:

Understanding market stability is crucial in economic modeling.
Dynamic duopolies with product differentiation present complex strategic interactions.
Existing models often assume perfect and immediate information, which may not reflect reality.

Purpose of the Study:

To analyze the stability of dynamic duopolies with product differentiation.
To investigate the impact of information delays on market equilibrium stability.
To explore both price and quantity adjustment mechanisms in these markets.

Main Methods:

Theoretical analysis to prove local asymptotic stability under realistic conditions.
Derivation of stability conditions for special cases involving information delays.
Simulation of dynamic systems to illustrate complex behaviors and outcomes.

Main Results:

Equilibrium in dynamic duopolies with product differentiation is generally locally asymptotically stable.
The introduction of delayed information in firms' best responses can lead to instability.
Simulation results reveal intricate dynamics in both price and quantity adjustment models.

Conclusions:

Market stability in dynamic duopolies is sensitive to the timeliness of information.
Firms' strategic choices regarding information processing significantly influence market outcomes.
The study provides insights into the complex, dynamic nature of oligopolistic markets.