Title:
A Game-theoretic Formulation of the Homogeneous Self-Reconfiguration Problem

dc.contributor.author Pickem, Daniel
dc.contributor.author Egerstedt, Magnus B.
dc.contributor.author Shamma, Jeff
dc.contributor.corporatename Georgia Institute of Technology. School of Electrical and Computer Engineering en_US
dc.contributor.corporatename Georgia Institute of Technology. Center for Robotics and Intelligent Machines en_US
dc.date.accessioned 2016-09-14T17:32:28Z
dc.date.available 2016-09-14T17:32:28Z
dc.date.issued 2015-12
dc.description © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. en_US
dc.description DOI: 10.1109/CDC.2015.7402645 en_US
dc.description.abstract In this paper we formulate the homogeneous two- and three-dimensional self-reconfiguration problem over discrete grids as a constrained potential game. We develop a game-theoretic learning algorithm based on the Metropolis-Hastings algorithm that solves the self-reconfiguration problem in a globally optimal fashion. Both a centralized and a fully decentralized algorithm are presented and we show that the only stochastically stable state is the potential function maximizer, i.e. the desired target configuration. These algorithms compute transition probabilities in such a way that even though each agent acts in a self-interested way, the overall collective goal of self-reconfiguration is achieved. Simulation results confirm the feasibility of our approach and show convergence to desired target configurations. en_US
dc.identifier.citation Pickem, D., Egerstedt, M. B., & Shamma, J. S. (2015). A Game-theoretic Formulation of the Homogeneous Self-Reconfiguration Problem. 2015 54th IEEE Conference on Decision and Control (CDC), Osaka, 2015, pp. 2829-2834. en_US
dc.identifier.doi 10.1109/CDC.2015.7402645 en_US
dc.identifier.isbn 978-1-4799-7886-1
dc.identifier.uri http://hdl.handle.net/1853/55819
dc.language.iso en_US en_US
dc.publisher Georgia Institute of Technology en_US
dc.publisher.original Institute of Electrical and Electronics Engineers
dc.subject Decentralized en_US
dc.subject Distributed graph coverage en_US
dc.subject Game theoretic en_US
dc.subject Graph en_US
dc.subject Mobile agents en_US
dc.subject Mobile robots en_US
dc.subject Stationary distribution en_US
dc.title A Game-theoretic Formulation of the Homogeneous Self-Reconfiguration Problem en_US
dc.type Text
dc.type.genre Proceedings
dspace.entity.type Publication
local.contributor.author Egerstedt, Magnus B.
local.contributor.corporatename School of Electrical and Computer Engineering
local.contributor.corporatename College of Engineering
relation.isAuthorOfPublication dd4872d3-2e0d-435d-861d-a61559d2bcb6
relation.isOrgUnitOfPublication 5b7adef2-447c-4270-b9fc-846bd76f80f2
relation.isOrgUnitOfPublication 7c022d60-21d5-497c-b552-95e489a06569
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