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Nash Equilibrium Seeking Over Undire...
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ProQuest Information and Learning Co.
Nash Equilibrium Seeking Over Undirected Graphs Via Multi-Agent Agreement.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
Nash Equilibrium Seeking Over Undirected Graphs Via Multi-Agent Agreement./
作者:
Gadjov, Dian.
面頁冊數:
1 online resource (136 pages)
附註:
Source: Masters Abstracts International, Volume: 57-01.
Contained By:
Masters Abstracts International57-01(E).
標題:
Systems science. -
電子資源:
click for full text (PQDT)
ISBN:
9780355448955
Nash Equilibrium Seeking Over Undirected Graphs Via Multi-Agent Agreement.
Gadjov, Dian.
Nash Equilibrium Seeking Over Undirected Graphs Via Multi-Agent Agreement.
- 1 online resource (136 pages)
Source: Masters Abstracts International, Volume: 57-01.
Thesis (M.A.S.)--University of Toronto (Canada), 2017.
Includes bibliographical references
We consider the problem of distributed Nash equilibrium seeking over networks. In this setting, agents have limited information about the other players' actions and are forced to communicate with neighbouring agents. We start with a continuous-time gradient-play dynamics, with perfect information, under a strictly monotone pseudo-gradient assumption. In the partial information case we modify the gradient-play dynamics between players by expanding the action space. We propose an augmented gradient-play dynamics in which players can only communicate locally with their neighbours to compute an estimate of the other players' actions. We derive new dynamics based on the reformulation of the problem as a multi-agent coordination problem, over an undirected graph. We exploit the incremental passivity properties in the dynamics and show that a Laplacian feedback can be designed using relative estimates of their neighbours. We highlight that there is a trade-off between properties of the game and the communication graph.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9780355448955Subjects--Topical Terms:
1148479
Systems science.
Index Terms--Genre/Form:
554714
Electronic books.
Nash Equilibrium Seeking Over Undirected Graphs Via Multi-Agent Agreement.
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We consider the problem of distributed Nash equilibrium seeking over networks. In this setting, agents have limited information about the other players' actions and are forced to communicate with neighbouring agents. We start with a continuous-time gradient-play dynamics, with perfect information, under a strictly monotone pseudo-gradient assumption. In the partial information case we modify the gradient-play dynamics between players by expanding the action space. We propose an augmented gradient-play dynamics in which players can only communicate locally with their neighbours to compute an estimate of the other players' actions. We derive new dynamics based on the reformulation of the problem as a multi-agent coordination problem, over an undirected graph. We exploit the incremental passivity properties in the dynamics and show that a Laplacian feedback can be designed using relative estimates of their neighbours. We highlight that there is a trade-off between properties of the game and the communication graph.
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