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arXiv · 1303.6982

Fixed Point Theorems and applications in Theory of Games

Monica Patriche
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Abstract

We introduce the notions of weakly *-concave and weakly naturally quasi-concave correspondence and prove fixed point theorems and continuous selection theorems for these kind of correspondences. As applications in the game theory, by using a tehnique based on a continuous selection, we establish new existence results for the equilibrium of the abstract economies. The constraint correspondences are weakly naturally quasi-concave. We show that the equilibrium exists without continuity assumptions.

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Monica Patriche. 2013-03-27. Fixed Point Theorems and applications in Theory of Games. https://arxiv.org/abs/1303.6982

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