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A case where a paradox like Braess's occurs in the Nash equilibrium but does not occur in the Wardrop equilibrium - a situation of load balancing in distributed computer systems

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003
The Braess paradox which was originally identified and observed in road traffic context, shows that it may happen that by adding capacity to the network, the performance of all users degrades. This paradox has long been known in a framework called the Wardrop equilibrium, in which there are infinitely many individuals and in which the decision of one ...
H. Kameda, E. Altman, T. Kozawa
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Finite cooperative games: parametrisation of the concept of equilibrium (from Pareto to Nash) and stability of the efficient situation in the Hölder metric

Discrete Mathematics and Applications, 2009
Summary: We consider a finite cooperative game of several players with parametric principle of optimality such that the relations between players in a coalition are based on the Pareto maximum. The introduction of this principle allows us to find a link between such classical concepts as the Pareto optimality and the Nash equilibrium.
Emelichev, V. A., Karelkina, O. V.
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The problem of the nash equilibrium situation in a positional n-person game with a memory

Journal of Applied Mathematics and Mechanics, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Distributed Nash Equilibrium Seeking in Games With Partial Decision Information: A Survey

Proceedings of the IEEE, 2023
Maojiao Ye, Qing-Long Han, Lei Ding
exaly  

Geometric Convergence of Gradient Play Algorithms for Distributed Nash Equilibrium Seeking

IEEE Transactions on Automatic Control, 2021
Tatiana Tatarenko   +2 more
exaly  

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