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Strategy-proof multi-object mechanism design: Ex-post revenue maximization with non-quasilinear preferences

Tomoya Kazumura (), Debasis Mishra and Shigehiro Serizawa

Journal of Economic Theory, 2020, vol. 188, issue C

Abstract: A seller is selling multiple objects to a set of agents, who can buy at most one object. Each agent's preference over (object, payment) pairs need not be quasilinear. The seller considers the following desiderata for her mechanism, which she terms desirable: (1) strategy-proofness, (2) ex-post individual rationality, (3) equal treatment of equals, (4) no wastage (every object is allocated to some agent). The minimum Walrasian equilibrium price (MWEP) mechanism is desirable. We show that at each preference profile, the MWEP mechanism generates more revenue for the seller than any desirable mechanism satisfying no subsidy. Our result works for the quasilinear domain, where the MWEP mechanism is the VCG mechanism, and for various non-quasilinear domains, some of which incorporate positive income effect of agents. We can relax no subsidy to no bankruptcy in our result for certain domains with positive income effect.

Keywords: Multi-object auction; Strategy-proofness; Ex-post revenue maximization; Minimum Walrasian equilibrium price mechanism; Non-quasilinear preferences (search for similar items in EconPapers)
JEL-codes: D47 D63 D71 D82 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:188:y:2020:i:c:s0022053118305866

DOI: 10.1016/j.jet.2020.105036

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