Nash equilibrium


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Related to Nash equilibrium: Dominant strategy, John Nash
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Noun1.Nash equilibrium - (game theory) a stable state of a system that involves several interacting participants in which no participant can gain by a change of strategy as long as all the other participants remain unchanged
game theory, theory of games - (economics) a theory of competition stated in terms of gains and losses among opposing players
equilibrium - a stable situation in which forces cancel one another
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References in periodicals archive ?
For the study, the team used adaptive control and Nash equilibrium game theory and outlined the way they adapted game theory for the physical interaction of a robot with a human.
This article applies Nash Equilibrium Theory to provide such insight.
Both the existence and uniquencess of a Nash equilibrium are proved.
Rather than following this modelling strategy, a substantial body of applied work focuses on finding the Nash equilibrium after an environmental change.
PAPADIMITRIOU, The complexity of computing a Nash equilibrium, SIAM J.
Strategic stability of cooperative solutions in a game means that the outcome of cooperation must be attained in some Nash equilibrium, which is an effective mechanism to guarantee the sustainability of a cooperative agreement.
In the early 1950s, Nash [27] proposed the most important theory in game theory called the Nash Equilibrium, which determined the form and theoretical foundation of the noncooperative game and extended the research field of game theory to noncooperative games and nonzero-sum games.
As a kind of strategy combinations, Nash equilibrium is closely bound up with many important mathematical problems, and many problems in economy and engineering technology can also be described as a Nash equilibrium problem.
[9] have also defined a bioeconomic equilibrium model for "n" fishermen who catch three species; these species compete with each other for space or food; the natural growth of each species is modeled using a logistic law; the objective of their work is to calculate the fishing effort that maximizes the profit of each fisherman at biological equilibrium by using the generalized Nash equilibrium problem.
We have modeled the attack defense strategies using Game Theory approach in a normal form so as to find the Nash equilibrium to evaluate the VM migration benefits and costs.