DP16724 Search Direction: Position Externalities and Position Auction Bias
We formulate a tractable model of pricing under directed search with heterogeneous
firm demands. Demand height and width drive bids in a position auction and enable
us to bridge insights from the ordered search literature to those in the position auction
literature. Equilibrium pricing implies that the marginal consumer’s surplus decreases
down the search order, so consumers optimally follow the firms’ position ordering. A
firm suffers from ”business stealing” by firms that precede it and ”search appeal” from
subsequent firms. We find rankings that achieve the maximal joint profit, social welfare,
or consumer surplus by constructing firm-specific scores. A generalized second price
auction for positions endogenizes equilibrium orders and bids are driven by position
externalities that impact incremental profit from switching positions. The joint profit
maximization order is upheld when firm heterogeneity concerns mostly demand height.
But the consumer welfare order is robust when firms differ mostly over demand width.