Distributed Nash Equilibrium Computation Under Round-Robin Scheduling Protocol
This article is concerned with distributed Nash equilibrium (NE) problem for multiplayer games under the Round-Robin (RR) protocol. For the purpose of effectively mitigating data congestion and saving communication resources, the RR protocol is adopted for each player, under which the player is perm...
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| Published in: | IEEE transactions on automatic control Vol. 69; no. 1; pp. 339 - 346 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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New York
IEEE
01.01.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0018-9286, 1558-2523 |
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| Abstract | This article is concerned with distributed Nash equilibrium (NE) problem for multiplayer games under the Round-Robin (RR) protocol. For the purpose of effectively mitigating data congestion and saving communication resources, the RR protocol is adopted for each player, under which the player is permitted to transmit data to only one of its neighbors at each time instant. The resulting protocol-induced communication graph become time-varying and even disconnected, even though the original graph is assumed to be strongly connected. The aim of the addressed problem is to develop a distributed algorithm in the partial-decision information setting such the convergence of NE can be guaranteed under the <inline-formula><tex-math notation="LaTeX">B</tex-math></inline-formula>-strong connectivity of graphs and the row-stochasticity of weighted adjacency matrix. The sufficient condition on the convergence of the NE is derived for the algorithm with diminishing step-sizes. Some discussions are provided on convergence rate of the proposed algorithm. Finally, one numerical example is provided to verify the developed algorithm. |
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| AbstractList | This article is concerned with distributed Nash equilibrium (NE) problem for multiplayer games under the Round-Robin (RR) protocol. For the purpose of effectively mitigating data congestion and saving communication resources, the RR protocol is adopted for each player, under which the player is permitted to transmit data to only one of its neighbors at each time instant. The resulting protocol-induced communication graph become time-varying and even disconnected, even though the original graph is assumed to be strongly connected. The aim of the addressed problem is to develop a distributed algorithm in the partial-decision information setting such the convergence of NE can be guaranteed under the <inline-formula><tex-math notation="LaTeX">B</tex-math></inline-formula>-strong connectivity of graphs and the row-stochasticity of weighted adjacency matrix. The sufficient condition on the convergence of the NE is derived for the algorithm with diminishing step-sizes. Some discussions are provided on convergence rate of the proposed algorithm. Finally, one numerical example is provided to verify the developed algorithm. This article is concerned with distributed Nash equilibrium (NE) problem for multiplayer games under the Round-Robin (RR) protocol. For the purpose of effectively mitigating data congestion and saving communication resources, the RR protocol is adopted for each player, under which the player is permitted to transmit data to only one of its neighbors at each time instant. The resulting protocol-induced communication graph become time-varying and even disconnected, even though the original graph is assumed to be strongly connected. The aim of the addressed problem is to develop a distributed algorithm in the partial-decision information setting such the convergence of NE can be guaranteed under the [Formula Omitted]-strong connectivity of graphs and the row-stochasticity of weighted adjacency matrix. The sufficient condition on the convergence of the NE is derived for the algorithm with diminishing step-sizes. Some discussions are provided on convergence rate of the proposed algorithm. Finally, one numerical example is provided to verify the developed algorithm. |
| Author | Cao, Jinde Xu, Wenying Feng, Zhangcheng |
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| SubjectTerms | Algorithm design and analysis Algorithms Convergence Design of experiments Directed graphs Distributed algorithms Distributed computation game Game theory Graph theory Nash equilibrium Nash equilibrium (NE) Protocols Round robin round-robin (RR) |
| Title | Distributed Nash Equilibrium Computation Under Round-Robin Scheduling Protocol |
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