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EXISTENCE OF SOLUTIONS TO RANDOM EQUILIBRIUM SYSTEM
随机平衡系统解的存在性

Keywords: Random equilibrium system,random system of variational inequalities,random Nash equilibrium
随机平衡系统
,随机变分不等式系统,随机Nash均衡

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Abstract:

In this paper, we introduce a kind of new random equilibrium system model, which is a randomized version of the equilibrium system, whcih itself is a generalization of the system of variational inequalities. We obtain the existence results on the random equilibrium system. As applications, we also establish the existence results on the random system of variational inequalties. It is worth noting that we obtain the existence results of the randomized classical noncooperative Nash equilibrium.

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