Bio-inspired evolutionary game dynamics in symmetric and asymmetric models

Journal article


Stella, Leonardo and Bauso, Dario 2018. Bio-inspired evolutionary game dynamics in symmetric and asymmetric models. IEEE Control Systems Letters. 2 (3), pp. 405-410. https://doi.org/10.1109/lcsys.2018.2838445
AuthorsStella, Leonardo and Bauso, Dario
Abstract

A large population of players has to reach consensus in a distributed way between two options. The two options can be equally favorable or one option can have a higher intrinsic value (asymmetric parameters). In both cases, uncommitted players choose one of the two options depending on the popularity of that option, while committed players can be attracted by those committed to the other option via cross-inhibitory signals. We illustrate the model in different application domains including honeybee swarms, duopolistic competition and opinion dynamics. The main contributions of this letter are as follows: 1) we develop an evolutionary game model to explain the behavioral traits of the honeybees where this model originates; 2) we study individuals' and collective behavior including conditions for local asymptotic stability of the equilibria; 3) we study thresholds on the cross-inhibitory signal for the symmetric case and for the corresponding model with heterogeneous connectivity in the case of asymmetric structure with asymmetric parameters; and 4) we study conditions for stability and passivity properties for the collective system under time-varying and uncertain cross-inhibitory parameter in the asymmetric structure and parameters.

KeywordsGames, Stability analysis, Sociology, Statistics, Asymptotic stability, Mathematical model, Decision making
Year2018
JournalIEEE Control Systems Letters
Journal citation2 (3), pp. 405-410
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISSN2475-1456
Digital Object Identifier (DOI)https://doi.org/10.1109/lcsys.2018.2838445
Web address (URL)http://hdl.handle.net/10545/624661
hdl:10545/624661
Publication dates18 May 2018
Publication process dates
Deposited06 Apr 2020, 09:07
Accepted2018
ContributorsUniversity of Sheffield
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File Access Level
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