Passivity and Evolutionary Game Dynamics

Type
Conference Paper

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

KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program

Preprint Posting Date
2018-03-21

Online Publication Date
2019-01-24

Print Publication Date
2018-12

Date
2019-01-24

Abstract
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.

Citation
Park 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.

Acknowledgements
The work of S. Park and N. C. Martins was supported by AFOSR grant FA95501510367, NSF ECCS 1408320 and NSF: ECCS 1135726.

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Journal
2018 IEEE Conference on Decision and Control (CDC)

Conference/Event Name
57th IEEE Conference on Decision and Control, CDC 2018

DOI
10.1109/CDC.2018.8619450

arXiv
1803.07744

Additional Links
https://ieeexplore.ieee.org/document/8619450

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