A note on “Evolution of Preferences”

A surprising result in Dekel et al. (2007) states that strict Nash equilibria might cease to be evolutionary stable when agents are able to observe a signal that fully reveals the opponent's preferences, even if the frequency of the signal is very low. I show that when the signal a player receives on her opponent's preferences is almost uninformative, all strict Nash equilibria are evolutionary stable, no matter the frequency of the signal.