A Note on NE Approximate Strong Equilibria in Load Balancing Games

MIAO Cui-xia

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A Note on NE Approximate Strong Equilibria in Load Balancing Games

MIAO Cui-xia

*Correspondence author

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Funding: The National Natural Science Foundationof China （No.11201259）

Opened online:13 November 2015

Accepted by: none

Citation: MIAO Cui-xia.A Note on NE Approximate Strong Equilibria in Load Balancing Games[OL]. [13 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4660499

This note discusses the stability of NE against coalitionaldeviation in the load balancing games. We use an approach to get all the structures of theminimal deviation graph for the case of 5-servers, and show that anyNE assignment is a $rac{19}{16}pprox 1.1875-$approximate SE.

Keywords:Operations Research, Load balancing game, Strong Equilibrium (SE),Improvement ratio, Minimal deviation graph

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