Source: wikibot/markov-kakutani-fixed-point-theorem

= Markov–Kakutani fixed-point theorem
{wiki=Markov–Kakutani_fixed-point_theorem}

The Markov–Kakutani fixed-point theorem is a generalization of the classical Brouwer fixed-point theorem, designed for multi-valued functions (or correspondences). It is important in various areas such as game theory, economics, and optimization.