  In this article we prove the bivariate uniqueness property for a particular
``max-type'' recursive distributional equation (RDE). Using the general theory
developed by Aldous and Bandyopadhyay (2005) we then show that the
corresponding recursive tree process (RTP) has no external randomness, more
preciously, the RTP is endogenous. The RDE we consider is so called the
Logistic RDE, which appears in Aldous' (2001) proof of the $\zeta(2)$-limit of
the random assignment problem using the local weak convergence method. Thus
this work provides a non-trivial application of the general theory developed by
Aldous and Bandyopadhyay (2005).
