We study mediated many-to-many matching in markets in which valuations evolve over time as the result of shocks … the design of their matching protocols. It shows that the dynamics that maximize either the platform's profits or welfare …

When goods are substitutes, the Vickrey outcome is in the core and yields competitive seller revenue. In contrast, with … complements, the Vickrey outcome is efficient but not necessarily in the core and revenue can be low. Non-core outcomes may be … perceived as unfair since there are bidders willing to pay more than the winners' payments. Moreover, non-core outcomes render …

When goods are substitutes, the Vickrey auction produces efficient, core outcomes that yield competitive seller … revenues. In contrast, with complements, the Vickrey outcome, while efficient, is not necessarily in the core and revenue can … be very low. Non-core outcomes may be perceived as unfair since there are bidders willing to pay more than the winners …

. -- Matching and bargaining ; search ; double auctions ; foundations for perfect competition ; rate of convergence …