Matching and Price Competition

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All-Pay Contests (2009, methodology): “j∈A+(x)\{i} hj (y) for all y ∈ (x, z) (6)”
Asymmetric Contests with Conditional Investments (2010, background): “Because more than two players participate in any equilibrium (part (4) of Lemma 2), different players may compete on different sets of scores.”
Two-Sided Markets: An Overview ∗ (2004, methodology): “Last, Armstrong’s formula (11) can also be rewritten (using formula (6) for the total price) as a standard Lerner formula:”
Matching with Couples: Stability and Incentives in Large Markets* (2013, unknown): “Large market arguments have been used in a number of other recent studies of matching mechanisms (Bulow and Levin 2006; Abdulkadiroğlu, Che, and Yasuda 2008; Manea 2009; Che and Kojima 2010; Kojima and Manea 2010; Budish 2011; Liu and Pycia 2011; Azevedo and Leshno 2012; Lee 2013).”
Two-sided markets: a progress report (2006, methodology): “Finally, the total price p is given by formula (8).”
Efficient Matching under Distributional Constraints: Theory and Applications (2015, background): “Design issues motivated by an anti-trust lawsuit against the American medical resident matching clearinghouse are investigated by Bulow and Levin (2006), Kojima (2007), Konishi and Sapozhnikov (2008), Niederle (2007), and Niederle and Roth (2003).”