Designing a Competitive Monotone Signaling Equilibrium

A decision maker (DM) determines a set of reactions that receivers can choose before senders and receivers move in a generalized competitive signaling model with two-sided matching. The DM’s optimal design of the unique stronger monotone signaling equilibrium (unique D1 equilibrium) is equivalent to the choice problem of two threshold sender types, one for market entry and the other for pooling on the top. Our analysis sheds light on the impacts of a trade-off between matching efficiency and signaling costs, the relative heterogeneity of receiver types to sender types, and the productivity of the sender’s action on optimal equilibrium designing.