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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.
openaire   +2 more sources

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.
openaire   +2 more sources

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  

An equilibrium in group decision and its association with the Nash equilibrium in game theory

Computers and Industrial Engineering, 2020
Fujun Hou, Xinli You
exaly  

Geometric Convergence of Gradient Play Algorithms for Distributed Nash Equilibrium Seeking

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

Distributed Nash Equilibrium Seeking by a Consensus Based Approach

IEEE Transactions on Automatic Control, 2017
Maojiao Ye, Guoqiang Hu
exaly  

Infinitesimal characterization of a feedback nash equilibrium in a differential game

Proceedings of the Steklov Institute of Mathematics, 2011
Yurii Averboukh
exaly  

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