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arXiv · 1304.0716

Fixed point theorems for nonconvex valued correspondences and applications in game theory

Monica Patriche
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Abstract

In this paper, we introduce several types of correspondences: weakly naturally quasiconvex, *-weakly naturally quasiconvex, weakly biconvex and correspondences with *--weakly convex graph and we prove some fixed point theorems for these kinds of correspondences. As a consequence, using a version of W. K. Kim's quasi-point theorem, we obtain the existence of equilibria for a quasi-game.

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Monica Patriche. 2013-04-02. Fixed point theorems for nonconvex valued correspondences and applications in game theory. https://arxiv.org/abs/1304.0716

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