Bauso, D. and Basar, T. (2014) Mean-field interactions among robust dynamic coalitional games with transferable utilities. In: ISCCSP 2014 - 2014 6th International Symposium on Communications, Control and Signal Processing, Proceedings. 2014 6th International Symposium on Communications, Control, and Signal Processing (ISCCSP), 21-23 May 2014, Athens, Greece. , 487 - 490. ISBN 9781479928903
Abstract
This paper considers a large number of homogeneous 'small worlds' or games. Each small world involves a set of players and a corresponding set of possible coalitions, and is modeled as a dynamic game with transferable utilities (TU), where the characteristic function is a continuous-time stochastic process. Considering that a dynamic TU game can be modeled as a network control problem, the overall system appears as an assembly of a large number of networks subject to mean-field interactions. As a result of such mean-field interactions among small worlds, in each game, a central planner allocates revenues based on the extra reward that a coalition has received up to the current time and the extra reward that the same coalition has received in the other games. We obtain allocation rules that make the grand coalition stable in each game, while guaranteeing consensus on the excesses, in the spirit of inequity aversion. Convergences of allocations and excesses are established via stochastic stability theory. © 2014 IEEE.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 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. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | mean-field games; consensus; multiagent systems; network flow |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 29 Jan 2016 15:38 |
Last Modified: | 19 Dec 2022 13:32 |
Published Version: | http://dx.doi.org/10.1109/ISCCSP.2014.6877919 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1109/ISCCSP.2014.6877919 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89666 |