  This paper studies robust forward investment and consumption preferences
within a zero-volatility context. Different from previous works, we consider an
incomplete financial market model due to general investment portfolio
constraints. We provide a new PDE characterization and a novel semi-explicit
saddle-point construction of forward preferences and optimal strategies. We
further present a more detailed construction of forward preferences and optimal
strategies under constant relative risk aversion (CRRA). Key findings emphasize
the necessity of a specific relationship between the initial investment
preference and the forward consumption preference, indicating a long-term
decreasing trend in forward consumption preference behavior.
