Passivity and Evolutionary Game Dynamics

Shinkyu Park, Jeff S. Shamma, Nuno C. Martins

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This paper investigates an energy conservation and dissipation - passivity - aspect of dynamic models in evolutionary game theory. We define a notion of passivity using the state-space representation of the models. Our main contributions include devising systematic methods to examine passivity and identifying properties of passive dynamic models. We explain how our main results can be used to establish a connection between passivity and stability of equilibrium in population games and provide numerical simulations to illustrate stability in population games.

Original languageEnglish (US)
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages8
ISBN (Electronic)9781538613955
StatePublished - Jul 2 2018
Externally publishedYes
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: Dec 17 2018Dec 19 2018

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Conference57th IEEE Conference on Decision and Control, CDC 2018
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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