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Differential Graphical Game With Distributed Global Nash Solution | IEEE Journals & Magazine | IEEE Xplore

Differential Graphical Game With Distributed Global Nash Solution


Abstract:

This article studies multiagent differential graphical games in linear dynamical networks. We point out that in existing graphical game formulations, being global Nash an...Show More

Abstract:

This article studies multiagent differential graphical games in linear dynamical networks. We point out that in existing graphical game formulations, being global Nash and being distributed are two contradicting properties. In particular, we prove that the best response strategy, most widely used in solving graphical games, leads to Nash but does not provide distributed solutions. On the other hand, the minmax strategy, recently developed in solving graphical games, provides distributed solutions but prevents the agents from reaching a global Nash equilibrium. In this article, we propose a novel differential graphical game formulation, which promises the existence of solutions that 1) lead to global Nash equilibrium and 2) are distributed in the sense that each agent only uses the state information of its own and its direct neighbors. Stability and Nash equilibrium properties of the proposed graphical game are proven, respectively. Simulation studies are conducted to illustrate the theoretical results.
Published in: IEEE Transactions on Control of Network Systems ( Volume: 8, Issue: 3, September 2021)
Page(s): 1371 - 1382
Date of Publication: 11 March 2021

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