  A countable discrete group is called Choquet-Deny if for any non-degenerate
probability measure on the group, the corresponding space of bounded harmonic
functions is trivial. Building on the previous work of Jaworski, a complete
characterization of Choquet-Deny groups was recently achieved by Frisch,
Hartman, Tamuz, and Ferdowski. In this article, we extend the study of the
Choquet-Deny property to the framework of discrete measured groupoids. Our
primary result offers a complete characterization of this property in terms of
the isotropy groups and the equivalence relation associated with the given
groupoid. Additionally, we use the implications derived from our main theorem
to classify the Choquet-Deny property of transformation groupoids.
