Passivity and Evolutionary Game Dynamics

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

doi:10.1109/CDC.2018.8619450

Passivity and Evolutionary Game Dynamics

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 Scopus citations

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.

Original language	English (US)
Title of host publication	2018 IEEE Conference on Decision and Control (CDC)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	3553-3560
Number of pages	8
ISBN (Print)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619450
State	Published - Jan 24 2019

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10.1109/CDC.2018.8619450

https://repository.kaust.edu.sa/bitstream/10754/627409/6/population_games_passivity_cdc.pdf

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@inproceedings{a155b889ed9147eda10cce4bd14aff7b,

title = "Passivity and Evolutionary Game Dynamics",

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.",

author = "Shinkyu Park and Shamma, {Jeff S.} and Martins, {Nuno C.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The work of S. Park and N. C. Martins was supported by AFOSR grant FA95501510367, NSF ECCS 1408320 and NSF: ECCS 1135726.",

year = "2019",

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doi = "10.1109/CDC.2018.8619450",

language = "English (US)",

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T1 - Passivity and Evolutionary Game Dynamics

AU - Park, Shinkyu

AU - Shamma, Jeff S.

AU - Martins, Nuno C.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The work of S. Park and N. C. Martins was supported by AFOSR grant FA95501510367, NSF ECCS 1408320 and NSF: ECCS 1135726.

PY - 2019/1/24

Y1 - 2019/1/24

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/627409

UR - https://ieeexplore.ieee.org/document/8619450

UR - http://www.scopus.com/inward/record.url?scp=85062175699&partnerID=8YFLogxK

U2 - 10.1109/CDC.2018.8619450

DO - 10.1109/CDC.2018.8619450

M3 - Conference contribution

SN - 9781538613955

SP - 3553

EP - 3560

BT - 2018 IEEE Conference on Decision and Control (CDC)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Passivity and Evolutionary Game Dynamics

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