Privately informed seekers of an uncertain rent

Two departures from antecedent rent-seeking models are invoked: a rent of unknown size is sought, and rent seekers obtain private imperfect estimates of this size. A symmetric equilibrium for a fixed number of rent seekers is characterized, and shown to underdissipate the rent. Then a model of the decision to obtain private information and participate in the rent-seeking contest is built. The symmetric equilibrium participation probability equates expected profit to participation costs. A simple formula for underdissipation results: dissipation is incomplete precisely by the expected aggregate participation costs. If an award mechanism can attain a lower level of dissipation for a fixed number of seekers, then it will raise the endogenous probability of participation, and as a result will dissipate less rent in the equilibrium with an endogenous number of seekers.