Bayesian Graphical Games for Synchronization in Networks of Dynamical Systems
In this paper, differential games with incomplete information, or Bayesian games, are formulated for multiagent continuous-time dynamical systems in a communication graph. These new Bayesian graphical games model the situation where the agents are uncertain about their actual payoff functions and mu...
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| Veröffentlicht in: | IEEE transactions on control of network systems 2020-06, Vol.7 (2), p.1028-1039 |
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| container_title | IEEE transactions on control of network systems |
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| creator | Lopez, Victor G. Wan, Yan Lewis, Frank L. |
| description | In this paper, differential games with incomplete information, or Bayesian games, are formulated for multiagent continuous-time dynamical systems in a communication graph. These new Bayesian graphical games model the situation where the agents are uncertain about their actual payoff functions and must employ the evidence observed from the behavior of other agents to improve their estimation of the real setting of their environment. Two different solutions are proposed for the game. First, the agents play their best response strategies with respect to the policies of their neighbors; then, the agents prepare themselves for the worst-case neighbor policies. A tight relationship between the beliefs of an agent and its distributed control policy is established. Two belief update methodologies are proposed for the agents to review their strategies using information obtained from the graph topology. |
| doi_str_mv | 10.1109/TCNS.2019.2927201 |
| format | Article |
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Two belief update methodologies are proposed for the agents to review their strategies using information obtained from the graph topology.</description><subject>Bayes methods</subject><subject>Bayesian analysis</subject><subject>Bayesian games</subject><subject>Control systems</subject><subject>Differential games</subject><subject>distributed control</subject><subject>Dynamical systems</subject><subject>Game theory</subject><subject>Games</subject><subject>graphical games</subject><subject>Multiagent systems</subject><subject>Nash equilibrium</subject><subject>Policies</subject><subject>Synchronism</subject><subject>Synchronization</subject><subject>Topology</subject><issn>2325-5870</issn><issn>2325-5870</issn><issn>2372-2533</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkE9LAzEQxYMoWGo_gHgJeN6av5vsUatWQeuh9RzS7CxN7W5qskXWT-_WFvE0b5j35sEPoUtKxpSS4mYxmc3HjNBizAqmenGCBowzmUmtyOk_fY5GKa0JIZTJfucD9HpnO0jeNnga7Xblnd3gqa0h4SpEPO8at4qh8d-29aHBvsEzaL9C_Eg4VPi-a2z9G5l3qYU6XaCzym4SjI5ziN4fHxaTp-zlbfo8uX3JHOd5m-V6yQXJmSRFyYCriiyVJc5SqammOevP2tJSutwpUgAXrIKSF1AKISRIwYfo-vB3G8PnDlJr1mEXm77SMEGF5Fwo3bvoweViSClCZbbR1zZ2hhKzB2f24MwenDmC6zNXh4wHgD-_VjInnPEfOhBoXw</recordid><startdate>20200601</startdate><enddate>20200601</enddate><creator>Lopez, Victor G.</creator><creator>Wan, Yan</creator><creator>Lewis, Frank L.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| source | IEEE Electronic Library (IEL) |
| subjects | Bayes methods Bayesian analysis Bayesian games Control systems Differential games distributed control Dynamical systems Game theory Games graphical games Multiagent systems Nash equilibrium Policies Synchronism Synchronization Topology |
| title | Bayesian Graphical Games for Synchronization in Networks of Dynamical Systems |
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