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dc.contributor.authorStella, Leonardo
dc.contributor.authorBauso, Dario
dc.date.accessioned2020-04-06T09:08:23Z
dc.date.available2020-04-06T09:08:23Z
dc.date.issued2017-07
dc.identifier.citationStella, L. and Bauso, D., (2017). 'Stationary and initial-terminal value problem for collective decision making via mean-field games'. New York: IEEE 25th Mediterranean Conference on Control and Automation (MED), Valetta, Malta, 3-6 July 2017. New York: IEEE, pp. 1125-1130.en_US
dc.identifier.issn9781509045334
dc.identifier.doi10.1109/med.2017.7984269
dc.identifier.urihttp://hdl.handle.net/10545/624663
dc.description.abstractGiven a large number of homogeneous players that are distributed across three possible states, we consider the problem in which these players have to control their transition rates, following some optimality criteria. The optimal transition rates are based on the players' knowledge of their current state and of the distribution of all the other players, thus introducing mean-field terms in the running and the terminal cost. The first contribution is a mean-field model that takes into account the macroscopic and the microscopic dynamics. The second contribution is the study of the mean-field equilibrium resulting from solving the initial-terminal value problem, involving the Kolmogorov equations and the Hamilton-Jacobi ODEs. The third contribution is the analysis of a stationary equilibrium for the system, which can be obtained in the asymptotic limit from the nonstationary equilibrium. We reframe our analysis within the context of Lyapunov's linearisation method and stability theory of nonlinear systems.en_US
dc.description.sponsorshipN/Aen_US
dc.language.isoenen_US
dc.publisherIEEEen_US
dc.relation.urlhttps://ieeexplore.ieee.org/abstract/document/7984269/keywords#keywordsen_US
dc.source2017 25th Mediterranean Conference on Control and Automation (MED)
dc.subjectGames, Mathematical model, Markov processes, Sociology, Statistics, Microscopy, Robustnessen_US
dc.titleStationary and initial-terminal value problem for collective decision making via mean-field gamesen_US
dc.typeMeetings and Proceedingsen_US
dc.identifier.eissn2473-3504
dc.contributor.departmentUniversity of Sheffielden_US
dc.identifier.journal2017 25th Mediterranean Conference on Control and Automation (MED)en_US
dcterms.dateAccepted2017
dc.author.detail787039en_US


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