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

ESS patterns: adding pairs to an ESS

M Broom1, C Cannings, G T Vickers

  • 1School of Mathematics and Statistics, University of Sheffield, United Kingdom.

Mathematical Biosciences
|August 1, 1996
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

Is it time to reconsider the terminology for diaper dermatitis?

Journal of tissue viability·2023
Same author

Update on applied epidural anatomy.

BJA education·2022
Same author

Towards a replicator dynamics model of age structured populations.

Journal of mathematical biology·2021
Same author

Interaction rates, vital rates, background fitness and replicator dynamics: how to embed evolutionary game structure into realistic population dynamics.

Theory in biosciences = Theorie in den Biowissenschaften·2017
Same author

Iliac artery balloon catheter use in abnormally invasive placental disease management.

Anaesthesia·2017
Same author

A NOTE ON STABILITY AND CONVERGENCE OF GENETIC SYSTEMS.

Evolution; international journal of organic evolution·2017
Same journal

The stability and bifurcations of ecosystems within resource constraints - Dedicated to Professor Shigui Ruan on the occasion of his 60th birthday.

Mathematical biosciences·2026
Same journal

The hydra and hormetic effects in a single discrete-time overcompensation model.

Mathematical biosciences·2026
Same journal

Seasonal impacts on brucellosis transmission mediated by live sheep supply-demand dynamics.

Mathematical biosciences·2026
Same journal

Optimal controls and cost-effectiveness analysis on the transmission dynamics of early blight disease in tomatoes.

Mathematical biosciences·2026
Same journal

Temperature-dependent dynamics and allee effect thresholds mediate fourfold cusp stability in biological control of invasive vectors.

Mathematical biosciences·2026
Same journal

Dynamics of a stochastic tumor-immune interaction system with an Ornstein-Uhlenbeck process.

Mathematical biosciences·2026
See all related articles

This study explores evolutionarily stable strategies (ESS) by adding new strategies to existing sets. It investigates restrictions on strategy sets and identifies potential new ESS patterns.

Area of Science:

  • Evolutionary Game Theory
  • Mathematical Biology
  • Game Theory

Background:

  • Introduces the concept of patterns of evolutionarily stable strategies (ESS) initially defined by Cannings and Vickers.
  • Focuses on a specific class of ESS patterns within a defined set of strategies.

Purpose of the Study:

  • To investigate the restrictions on strategy sets when new strategies are introduced into an existing ESS framework.
  • To determine the conditions under which an ESS persists in an enlarged set of strategies.
  • To identify new ESS patterns that can emerge with the addition of new strategies.

Main Methods:

  • Considers an initial set of 'n' strategies with an existing ESS.
  • Introduces 'k' new strategies, forming an enlarged conflict set.

Related Experiment Videos

  • Analyzes the conditions for ESS existence in the enlarged set and specific subsets, relating them to properties of strong tournaments.

    • Main Results:

    • Identifies specific restrictions on the subsets 'Si' of the original strategies that new strategies can interact with.
    • Establishes a connection between these restrictions and the properties of strong tournaments.
    • Specifies which new ESSs of the form {n + i, n + j} can be added given the defined strategy subsets 'Si'.

    Conclusions:

    • The addition of new strategies to an existing ESS framework imposes constraints on the interactions between new and old strategies.
    • The structure of these constraints is linked to graph theory concepts, specifically strong tournaments.
    • This research provides a framework for understanding how ESS can evolve and adapt with the introduction of new strategic options.