Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2021-07-04 Number: 21-060/VI Author-Name: James Albrecht Author-Workplace-Name: Georgetown University Author-Name: Xiaoming Cai Author-Workplace-Name: Peking University HSBC Business School Author-Name: Pieter Gautier Author-Workplace-Name: Vrije Universiteit Amsterdam Author-Name: Susan Vroman Author-Workplace-Name: Georgetown University Title: On the Foundations of Competitive Search Equilibrium with and without Market Maker Abstract: The literature offers two foundations for competitive search equilibrium, a Nash approach and a market-maker approach. When each buyer visits only one seller (or each worker makes only one job application), the two approaches are equivalent. However, when each buyer visits multiple sellers, this equivalence can break down. Our paper analyzes competitive search equilibrium with simultaneous search using the two approaches. We consider four cases defined by (i) the surplus structure (are the goods substitutes or complements?) and (ii) the mechanism space (do sellers post fees or prices?). With fees, the two approaches yield the same constrained efficient equilibrium. With prices, the equilibrium allocation is the same using both approaches if the goods are complements, but is not constrained efficient. In the case in which only prices are posted and the goods are substitutes, the equilibrium allocations from the two approaches are different. Classification-JEL: C78, D44, D83 Keywords: multiple applications, competitive search, market makers, efficiency File-URL: https://papers.tinbergen.nl/21060.pdf File-Format: application/pdf File-Size: 576342 bytes Handle: RePEc:tin:wpaper:20210060