On Evolutionarily Stable Strategy

Qurat-Ul-Ain, Nimra Jamil, Faizan Ahmed

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)

Abstract

Theory of evolutionarily stable strategy (ESS) emerged as an application of the game theoretic concept to the Darwinian theory of evolution. In this paper, we provide a brief review of ESS theory. The purpose is to fill gaps that are left open in the literature. We provide necessary and sufficient conditions along with an algorithm that can be used to find all ESS. We also describe results related to the bounds on the maximum number of ESS. Link of ESS theory to a dynamical system is also briefly described. The concept is also extended to the multi-player case and its dynamic formulation is also described. We provide result describing the equilibrium points for the game dynamics, which were not discussed before.

Original languageEnglish
Title of host publication2018 International Conference on Applied and Engineering Mathematics (ICAEM)
PublisherIEEE
Pages85-90
Number of pages6
ISBN (Electronic)978-1-5386-5460-6
ISBN (Print)978-1-5386-5461-3
DOIs
Publication statusPublished - 15 Nov 2018
Externally publishedYes
Event2018 International Conference on Applied and Engineering Mathematics, ICAEM 2018 - Taxila, Pakistan
Duration: 4 Sept 20185 Sept 2018

Publication series

NameICAEM 2018 - 2018 International Conference on Applied and Engineering Mathematics, Proceedings

Conference

Conference2018 International Conference on Applied and Engineering Mathematics, ICAEM 2018
Abbreviated titleICAEM 2018
Country/TerritoryPakistan
CityTaxila
Period4/09/185/09/18

Keywords

  • equilibrium point
  • Evolutionarily Stable Strategy
  • game dynamics
  • multi player games
  • Two player games
  • n/a OA procedure

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