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

An ESS maximum principle for matrix games.

T L Vincent1, R Cressman

  • 1Aerospace and Mechanical Engineering, University of Arizona, Tucson, Arizona 85721, USA.

Theoretical Population Biology
|December 20, 2000
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

Large-scale molecular endotype discovery in synovial fluid reveals osteoarthritis as a single biological continuum.

Nature communications·2026
Same author

Loeys-Dietz syndrome: 2026 updated care management primer.

Genetics in medicine : official journal of the American College of Medical Genetics·2026
Same author

Harmonising knee pain patient-reported outcomes: a systematic literature review and meta-analysis of Patient Acceptable Symptom State (PASS) and individual participant data (IPD).

Osteoarthritis and cartilage·2022
Same author

OA synovial fluid: biological insights into a whole-joint disease.

Osteoarthritis and cartilage·2022
Same author

Highly efficient CRISPR-Cas9-mediated editing identifies novel mechanosensitive microRNA-140 targets in primary human articular chondrocytes.

Osteoarthritis and cartilage·2022
Same author

Post-traumatic OA - are we any closer to prevention?

Osteoarthritis and cartilage·2021
Same journal

Applying invasion criterion to cultural evolution.

Theoretical population biology·2026
Same journal

The joint spectrum over trees under the Kingman coalescent with varying population.

Theoretical population biology·2026
Same journal

Statistical test to compare the linkage model and the admixture model based on central limit results.

Theoretical population biology·2026
Same journal

Threshold dynamics in age-structured distributions with expanding support: A unified mathematical framework.

Theoretical population biology·2026
Same journal

Mechanistic-statistical model for the expansion of ash dieback.

Theoretical population biology·2026
Same journal

Dynamics of an intraguild predation system with optimal foraging and harvesting.

Theoretical population biology·2026
See all related articles

The ESS maximum principle, a tool for finding evolutionarily stable strategies (ESS), is adapted for matrix games. This principle helps identify ESS in both standard and novel nonlinear matrix game scenarios.

Area of Science:

  • Evolutionary Game Theory
  • Mathematical Biology
  • Game Theory

Background:

  • The ESS maximum principle aids in identifying evolutionarily stable strategies (ESS) for games with continuous strategies.
  • This principle relates individual fitness (G-function) to strategy selection, requiring a maximum at ESS coalition vectors.
  • Existing methods are limited in scope, particularly for matrix games and nonlinear scenarios.

Purpose of the Study:

  • To reformulate the ESS maximum principle for application to matrix games.
  • To demonstrate the principle's utility in solving both bilinear and nonlinear matrix games.
  • To expand the applicability of ESS analysis to a broader range of game theory problems.

Main Methods:

  • Reformulation of the ESS maximum principle for matrix games, defining fitness via strategy frequencies and payoff matrices.

Related Experiment Videos

  • Application of the G-function to identify ESS in both pure and mixed strategies within bilinear matrix games.
  • Analysis of nonlinear matrix games, including the game between relatives and the sex ratio game, using the G-function.

    • Main Results:

    • The G-function must achieve a maximum at ESS coalition vectors in the matrix game context.
    • The reformulated principle effectively solves traditional bilinear matrix games using a unified G-function across strategy spaces.
    • ESS solutions were successfully determined for two nonlinear matrix games, demonstrating the principle's expanded applicability.

    Conclusions:

    • The adapted ESS maximum principle provides a powerful and versatile tool for analyzing matrix games.
    • This approach simplifies finding ESS in bilinear games and extends analysis to complex nonlinear game structures.
    • The study enhances understanding of ESS dynamics and offers a unified method for solving diverse game theory problems.