Network imitation dynamics in population games on community networks
(2021) In IEEE Transactions on Control of Network Systems p.65-76- Abstract
We study the asymptotic behavior of deterministic, continuous-time imitation dynamics for population games over networks. The basic assumption of this learning mechanism --- encompassing the replicator dynamics --- is that players belonging to a single population exchange information through pairwise interactions, whereby they get aware of the actions played by the other players and the corresponding rewards. Using this information, they can revise their current action, imitating the one of the players they interact with. The pattern of interactions regulating the learning process is determined by a community structure. First, the set of equilibrium points of such network imitation dynamics is characterized. Second, for the class of... (More)
We study the asymptotic behavior of deterministic, continuous-time imitation dynamics for population games over networks. The basic assumption of this learning mechanism --- encompassing the replicator dynamics --- is that players belonging to a single population exchange information through pairwise interactions, whereby they get aware of the actions played by the other players and the corresponding rewards. Using this information, they can revise their current action, imitating the one of the players they interact with. The pattern of interactions regulating the learning process is determined by a community structure. First, the set of equilibrium points of such network imitation dynamics is characterized. Second, for the class of potential games and for undirected and connected community networks, global asymptotic convergence is proved. In particular, our results guarantee convergence to a Nash equilibrium from every fully supported initial population state in the special case when the Nash equilibria are isolated and fully supported. Examples and numerical simulations are offered to validate the theoretical results and counterexamples are discussed for scenarios when the assu
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- author
- Como, Giacomo LU ; Fagnani, Fabio and Zino, Lorenzo
- publishing date
- 2021
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Asymptotic stability, Convergence, Distributed Learning, Evolutionary Game Theory, Games, Imitation Dynamics, Learning systems, Network Systems, Population Games, Sociology, Stability analysis, Statistics
- in
- IEEE Transactions on Control of Network Systems
- pages
- 12 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85096087774
- ISSN
- 2325-5870
- DOI
- 10.1109/TCNS.2020.3032873
- project
- Modeling and Control of Large Scale Transportation Networks
- language
- English
- LU publication?
- no
- id
- 897d1ac9-f667-4c36-90b8-2f563c7039c5
- date added to LUP
- 2021-02-08 22:55:52
- date last changed
- 2022-04-27 00:06:38
@article{897d1ac9-f667-4c36-90b8-2f563c7039c5,
abstract = {{<p>We study the asymptotic behavior of deterministic, continuous-time imitation dynamics for population games over networks. The basic assumption of this learning mechanism --- encompassing the replicator dynamics --- is that players belonging to a single population exchange information through pairwise interactions, whereby they get aware of the actions played by the other players and the corresponding rewards. Using this information, they can revise their current action, imitating the one of the players they interact with. The pattern of interactions regulating the learning process is determined by a community structure. First, the set of equilibrium points of such network imitation dynamics is characterized. Second, for the class of potential games and for undirected and connected community networks, global asymptotic convergence is proved. In particular, our results guarantee convergence to a Nash equilibrium from every fully supported initial population state in the special case when the Nash equilibria are isolated and fully supported. Examples and numerical simulations are offered to validate the theoretical results and counterexamples are discussed for scenarios when the assu</p>}},
author = {{Como, Giacomo and Fagnani, Fabio and Zino, Lorenzo}},
issn = {{2325-5870}},
keywords = {{Asymptotic stability; Convergence; Distributed Learning; Evolutionary Game Theory; Games; Imitation Dynamics; Learning systems; Network Systems; Population Games; Sociology; Stability analysis; Statistics}},
language = {{eng}},
pages = {{65--76}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Control of Network Systems}},
title = {{Network imitation dynamics in population games on community networks}},
url = {{http://dx.doi.org/10.1109/TCNS.2020.3032873}},
doi = {{10.1109/TCNS.2020.3032873}},
year = {{2021}},
}