A class of population dynamics for reaching epsilon-equilibria: Engineering applications

German Obando; Julian Barreiro-Gomez; Nicanor Quijano

doi:10.1109/ACC.2016.7526098

A class of population dynamics for reaching epsilon-equilibria: Engineering applications

German Obando
, Julian Barreiro-Gomez
, Nicanor Quijano

Research output: Chapter in Book/Inform › Conference contribution

3 Scopus citations

Abstract

This document proposes a novel class of population dynamics that are parameterized by a nonnegative scalar ϵ. We show that any rest point of the proposed dynamics corresponds to an ϵ-equilibrium of the underlying population game. In order to derive this class of population dynamics, our approach is twofold. First, we use an extension of the pairwise comparison revision protocol and the classic mean dynamics for well-mixed populations. This approach requires full-information. Second, we employ the same revision protocol and a version of the mean dynamics for non-well-mixed populations that uses only local information. Furthermore, invariance properties of the set of allowed population states are analyzed, and stability of the ϵ-equilibria is formally proven. Finally, two engineering examples based on the ϵ-dynamics are presented: A control scenario in which noisy measurements should be mitigated, and a humanitarian engineering application related to wealth distribution in poor societies.

Original language	English (US)
Title of host publication	2016 American Control Conference, ACC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4713-4718
Number of pages	6
ISBN (Electronic)	9781467386821
DOIs	https://doi.org/10.1109/ACC.2016.7526098
State	Published - Jul 28 2016
Externally published	Yes
Event	2016 American Control Conference, ACC 2016 - Boston, United States Duration: Jul 6 2016 → Jul 8 2016

Publication series

Name	Proceedings of the American Control Conference
Volume	2016-July
ISSN (Print)	0743-1619

Conference

Conference	2016 American Control Conference, ACC 2016
Country/Territory	United States
City	Boston
Period	7/6/16 → 7/8/16

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 1 No Poverty
SDG 10 Reduced Inequalities

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.2016.7526098

Cite this

Obando, G., Barreiro-Gomez, J., & Quijano, N. (2016). A class of population dynamics for reaching epsilon-equilibria: Engineering applications. In 2016 American Control Conference, ACC 2016 (pp. 4713-4718). Article 7526098 (Proceedings of the American Control Conference; Vol. 2016-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2016.7526098

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title = "A class of population dynamics for reaching epsilon-equilibria: Engineering applications",

abstract = "This document proposes a novel class of population dynamics that are parameterized by a nonnegative scalar ϵ. We show that any rest point of the proposed dynamics corresponds to an ϵ-equilibrium of the underlying population game. In order to derive this class of population dynamics, our approach is twofold. First, we use an extension of the pairwise comparison revision protocol and the classic mean dynamics for well-mixed populations. This approach requires full-information. Second, we employ the same revision protocol and a version of the mean dynamics for non-well-mixed populations that uses only local information. Furthermore, invariance properties of the set of allowed population states are analyzed, and stability of the ϵ-equilibria is formally proven. Finally, two engineering examples based on the ϵ-dynamics are presented: A control scenario in which noisy measurements should be mitigated, and a humanitarian engineering application related to wealth distribution in poor societies.",

author = "German Obando and Julian Barreiro-Gomez and Nicanor Quijano",

note = "Publisher Copyright: {\textcopyright} 2016 American Automatic Control Council (AACC). Copyright: Copyright 2016 Elsevier B.V., All rights reserved.; 2016 American Control Conference, ACC 2016 ; Conference date: 06-07-2016 Through 08-07-2016",

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Obando, G, Barreiro-Gomez, J & Quijano, N 2016, A class of population dynamics for reaching epsilon-equilibria: Engineering applications. in 2016 American Control Conference, ACC 2016., 7526098, Proceedings of the American Control Conference, vol. 2016-July, Institute of Electrical and Electronics Engineers Inc., pp. 4713-4718, 2016 American Control Conference, ACC 2016, Boston, United States, 7/6/16. https://doi.org/10.1109/ACC.2016.7526098

A class of population dynamics for reaching epsilon-equilibria: Engineering applications. / Obando, German; Barreiro-Gomez, Julian; Quijano, Nicanor.
2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 4713-4718 7526098 (Proceedings of the American Control Conference; Vol. 2016-July).

Research output: Chapter in Book/Inform › Conference contribution

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PY - 2016/7/28

Y1 - 2016/7/28

N2 - This document proposes a novel class of population dynamics that are parameterized by a nonnegative scalar ϵ. We show that any rest point of the proposed dynamics corresponds to an ϵ-equilibrium of the underlying population game. In order to derive this class of population dynamics, our approach is twofold. First, we use an extension of the pairwise comparison revision protocol and the classic mean dynamics for well-mixed populations. This approach requires full-information. Second, we employ the same revision protocol and a version of the mean dynamics for non-well-mixed populations that uses only local information. Furthermore, invariance properties of the set of allowed population states are analyzed, and stability of the ϵ-equilibria is formally proven. Finally, two engineering examples based on the ϵ-dynamics are presented: A control scenario in which noisy measurements should be mitigated, and a humanitarian engineering application related to wealth distribution in poor societies.

AB - This document proposes a novel class of population dynamics that are parameterized by a nonnegative scalar ϵ. We show that any rest point of the proposed dynamics corresponds to an ϵ-equilibrium of the underlying population game. In order to derive this class of population dynamics, our approach is twofold. First, we use an extension of the pairwise comparison revision protocol and the classic mean dynamics for well-mixed populations. This approach requires full-information. Second, we employ the same revision protocol and a version of the mean dynamics for non-well-mixed populations that uses only local information. Furthermore, invariance properties of the set of allowed population states are analyzed, and stability of the ϵ-equilibria is formally proven. Finally, two engineering examples based on the ϵ-dynamics are presented: A control scenario in which noisy measurements should be mitigated, and a humanitarian engineering application related to wealth distribution in poor societies.

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A class of population dynamics for reaching epsilon-equilibria: Engineering applications

Abstract

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UN SDGs

All Science Journal Classification (ASJC) codes

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