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Communications in Mathematical Sciences
Volume 17 (2019)
Hyperbolic consensus games
Pages: 1005 – 1024
We introduce the use of conservation laws in multi-player consensus games. Indeed, a general non-anticipative strategy is proposed within a rigorous analytic framework. By means of numerical integrations, we describe peculiar features of this strategy, such as its effectiveness, the automatic formation of coalitions and the effects of competitions.
hyperbolic consensus game, multi-agent consensus strategies, differential games, instantaneous control
2010 Mathematics Subject Classification
35L65, 91A23, 93B52
Part of this work was supported by the PRIN 2015 project Hyperbolic Systems of Conservation Laws and Fluid Dynamics: Analysis and Applications and by the GNAMPA 2017 project Conservation Laws: from Theory to Technology. The IBM Power Systems Academic Initiative substantially contributed to the numerical integrations.
Received 20 March 2018
Accepted 23 March 2019
Published 25 October 2019