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Distributed Nash Equilibrium Seeking in Multiagent Games Under Switching Communication Topologies

IEEE Transactions on Cybernetics, 2018
This paper investigates distributed Nash equilibrium seeking in multiagent games under switching communication topologies. To be specific, the communication topology is supposed to be switching among a set of strongly connected digraphs, which might ...
Maojiao Ye, G. Hu
semanticscholar   +1 more source

Optimality Conditions and Constraint Qualifications for Generalized Nash Equilibrium Problems and Their Practical Implications

SIAM Journal on Optimization, 2019
Generalized Nash equilibrium problems (GNEPs) are a generalization of the classic Nash equilibrium problems (NEPs), where each player's strategy set depends on the choices of the other players.
L. F. Bueno, G. Haeser, F. N. Rojas
semanticscholar   +1 more source

Nash Equilibrium

This is a unique account of the role played by 58 figures and diagrams commonly used in economic theory. These cover a large part of mainstream economic analysis, both microeconomics and macroeconomics and also general equilibrium theory.
  +5 more sources

Nash Equilibrium

2023
Ana Espinola-Arredondo   +1 more
  +4 more sources

Epistemic Conditions for Nash Equilibrium

Econometrica, 1995
Summary: Sufficient conditions for Nash equilibrium in an \(n\)-person game are given in terms of what the players know and believe -- about the game, and about each other's rationality, actions, knowledge, and beliefs. Mixed strategies are treated not as conscious randomizations, but as conjectures, on the part of other players, as to what a player ...
Aumann, Robert, Brandenburger, Adam
openaire   +1 more source

Accelerated Gradient Play Algorithm for Distributed Nash Equilibrium Seeking

IEEE Conference on Decision and Control, 2018
We study distributed algorithms for seeking a Nash equilibrium in a class of non-cooperative games with strongly monotone mappings. Each player has access to her own smooth local cost function and can communicate to her neighbors in some undirected graph.
T. Tatarenko, Wei Shi, A. Nedić
semanticscholar   +1 more source

On Nash equilibrium. I

Acta Mathematica Academiae Scientiarum Hungaricae, 1982
In this paper we study Nash equilibria from a view point of topology and obtain new results for Nash-Pareto equilibria described in the first part of this paper [ibid. 40, 267-272 (1982; Zbl 0516.90087)].
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The Nash Equilibrium

2020
Here a definition of the Nash equilibrium is presented, regarded as the most prominent solution concept for non-cooperative games. Information requirements such as common knowledge of rationality (CKR) and consistent-aligned beliefs (CAB) are discussed.
Manfred J. Holler, Barbara Klose-Ullmann
openaire   +1 more source

Rationality, Computability, and Nash Equilibrium

Econometrica, 1992
Summary: Suppose two agents play a game, each using a computable algorithm to decide what to do, these algorithms being common knowledge. We show that it is possible to act rationally provided we limit our attention to a natural subset of solvable games and to opponents who use rational algorithms; the outcome is a Nash equilibrium.
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Correlated Nash equilibrium

Journal of Economic Theory, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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