Existence of Nash Equilibrium Point on the Metric Space
Chen Yuan
Abstract
Chen Yuan
Abstract
The paper defines ideal-Nash equilibrium point of the vector game on the metric space.At the same time,it proves the existence of the equilibrium point.According to the result having just been proved,it provides existent conditions of the efficient Pareto-Nash equilibrium point.
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The paper defines ideal-Nash equilibrium point of the vector game on the metric space.At the same time,it proves the existence of the equilibrium point.According to the result having just been proved,it provides existent conditions of the efficient Pareto-Nash equilibrium point.
Key concepts: Nash equilibrium, Mathematical economics, Point (geometry), Symmetric equilibrium, Epsilon-equilibrium, Ideal point, Mathematics, Correlated equilibrium