Show simple item record

dc.contributor.authorMabrok, Mohamed
dc.contributor.authorShamma, Jeff S.
dc.date.accessioned2017-01-29T13:51:39Z
dc.date.available2017-01-29T13:51:39Z
dc.date.issued2017-01-05
dc.identifier.citationMabrok MA, Shamma JS (2016) Passivity analysis of higher order evolutionary dynamics and population games. 2016 IEEE 55th Conference on Decision and Control (CDC). Available: http://dx.doi.org/10.1109/CDC.2016.7799211.
dc.identifier.doi10.1109/CDC.2016.7799211
dc.identifier.urihttp://hdl.handle.net/10754/622792
dc.description.abstractEvolutionary dynamics describe how the population composition changes in response to the fitness levels, resulting in a closed-loop feedback system. Recent work established a connection between passivity theory and certain classes of population games, namely so-called “stable games”. In particular, it was shown that a combination of stable games and (an analogue of) passive evolutionary dynamics results in stable convergence to Nash equilibrium. This paper considers the converse question of necessary conditions for evolutionary dynamics to exhibit stable behaviors for all generalized stable games. Using methods from robust control analysis, we show that if an evolutionary dynamic does not satisfy a passivity property, then it is possible to construct a generalized stable game that results in instability. The results are illustrated on selected evolutionary dynamics with particular attention to replicator dynamics, which are also shown to be lossless, a special class of passive systems.
dc.description.sponsorshipResearch supported by funding from KAUST.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttp://ieeexplore.ieee.org/document/7799211/
dc.subjectConvergence
dc.subjectGames
dc.subjectLinear systems
dc.subjectNash equilibrium
dc.subjectSociology
dc.subjectStandards
dc.subjectStatistics
dc.titlePassivity analysis of higher order evolutionary dynamics and population games
dc.typeConference Paper
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journal2016 IEEE 55th Conference on Decision and Control (CDC)
dc.identifier.arxividarXiv:1609.04952
kaust.personMabrok, Mohamed
kaust.personShamma, Jeff S.
dc.versionv1
dc.date.published-online2017-01-05
dc.date.published-print2016-12
dc.date.posted2016-09-16


This item appears in the following Collection(s)

Show simple item record