Sheme to optimize revenue in networks based on Nash equilibrium;

In this paper,We use Schauder fixed point theorem to prove the existence theorem of Nash equilibrium.

In this paper, we introduce the concept of Nash equilibrium for set-valued mappings which includes usual Nash equilibrium and Loose Nash equilibrium as special cases, and we obtain existence theorems of Nash equilibria for set-valued mappings both under compact and non-compact assumptions.

The Model of General Imformation-set Games and the Existence of Nash Equilibrium;

Nash Equilibrium and Its Applications Based on Information and Optimization Analysis;

The existence theorems of essential components of the set of Nash equilibrium points is proved and a new method of proving is given.

The existence of pure strategy Nash equilibria;

In this paper, we first introduce some notions about diagonal transfer continuity, diagonal quasiconcavity and FS-convexity, then obtain new existence theorems of Nash equilibria deduced from KKM lemma in non-compact sets.

In this paper, we review the existence and stability of Nash equilibria.

Q -learning from original single-agent framework is extended to non-cooperative multi-agent framework, and the theoretic framework of multi-agent learning is proposed under general-sum stochastic games with Nash equilibrium point as learning objective.

From this theorem, it is easy to derive existence theorems of essential components ofthe set of fixed points and Nash equilibrium points.

The paper defines ideal-Nash equilibrium point of the vector game on the metric space.