You might enjoy studying 'causality' which says that:
Causality is the relationship between
causes and effects. It is considered to be fundamental to all natural
science, especially
physics.
Causality is also a topic studied from the perspectives of
philosophy and
statistics.
Causality means that an effect cannot occur from a cause which is not in the back (past) light cone of that event. Similarly, a cause cannot have an effect outside its front (future) light cone.
Also, how many runners are there in your thought experiment? You? Your faster you? You and your faster you?.......Are matter and energy being conserved in your experiment?