Bauso, D., Mylvaganam, T. and Astolfi, A. (2014) A two-point boundary value formulation of a mean-field crowd-averse game. In: Proceedings of the 19th IFAC World Congress. The 19th World Congress of the International Federation of Automatic Control, http://www.ifac2014.org/. IFAC , 7819 - 7824. ISBN 9783902823625
Abstract
We consider a population of "crowd-averse" dynamic agents controlling their states towards regions of low density. This represents a typical dissensus behavior in opinion dynamics. Assuming a quadratic density distribution, we first introduce a mean-field game formulation of the problem, and then we turn the game into a two-point boundary value problem. Such a result has a value in that it turns a set of coupled partial differential equations into ordinary differential equations.
Metadata
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| Copyright, Publisher and Additional Information: | © 2014 IFAC. |
| 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: | 05 Feb 2016 13:54 |
| Last Modified: | 10 Mar 2016 04:13 |
| Published Version: | http://dx.doi.org/10.3182/20140824-6-ZA-1003.02373 |
| Status: | Published |
| Publisher: | IFAC |
| Identification Number: | https://doi.org/10.3182/20140824-6-ZA-1003.02373 |
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