When agents do not know where to find a match, they search. However, agents could direct their search to agents who strategically choose a certain signal. Introducing cheap talk to a model of sequential search with bargaining, we find that signals will be truthful if there are mild complementarities in match production: supermodularity of the match production function is a necessary and sufficient condition. It simultaneously ensures perfect positive assortative matching, so that single-crossing property and sorting condition coincide. As the information from signals allows agents to avoid all unnecessary search, this search model exhibits nearly unconstrained efficiency.
assortative matching sorting search signals information