17 de Mayo. Seminario de Probabilidad y Procesos Estocásticos UNAM. Auditorio Alfonso Nápoles Gándara. Instituto de Matemáticas. Onésimo Hernández-Lerma. CINVESTAV-IPN. This talk is to honor Lloyd S. Shapley, who died on March 12, 2016. He introduced many important concepts in game theory, in particular the notion of a Markov game. We review several asymptotic equilibria for zero-sum Markov games, such as long-run average (or ergodic) equilibria, and bias and overtaking (or catching-up) equilibria, among others..