KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Preprint Posting Date2018-03-21
Online Publication Date2019-01-24
Print Publication Date2018-12
Permanent link to this recordhttp://hdl.handle.net/10754/627409
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AbstractThis 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.
CitationPark S, Shamma JS, Martins NC (2018) Passivity and Evolutionary Game Dynamics. 2018 IEEE Conference on Decision and Control (CDC). Available: http://dx.doi.org/10.1109/CDC.2018.8619450.
SponsorsThe work of S. Park and N. C. Martins was supported by AFOSR grant FA95501510367, NSF ECCS 1408320 and NSF: ECCS 1135726.
Conference/Event name57th IEEE Conference on Decision and Control, CDC 2018