Núñez, Marina (Núñez Oliva)Robles Jiménez, Francisco Javier2024-06-172024-06-1720240176-1714https://hdl.handle.net/2445/213344We study the problem of allocating packages of different objects to a group of bidders. A rule is overbidding-proof if no bidder has incentives to bid above his actual valuations. We prove that if an efficient rule is overbidding-proof, then each winning bidder pays a price between his winning bid and what he would pay in a Vickrey auction for the same package. In counterpart, the set of rules that satisfy underbidding-proofness always charge a price below the corresponding Vickrey price. A new characterization of the Vickrey allocation rule is provided with a weak form of strategy-proofness. The Vickrey rule is the only rule that satisfies efficiency, individual rationality, overbidding-proofness and underbidding-proofness. Our results are also valid on the domains of monotonic valuations and of single-minded bidders. Finally a family of overbidding rules is introduced that price the assigned packages at a fixed average of the Vickrey price and the pay-as-bid price.21 p.application/pdfengcc by (c) Núñez et al., 2024http://creativecommons.org/licenses/by/3.0/es/Responsabilitat per productesSubhastesCompravendaProducts liabilityAuctionsSalesOverbidding and underbidding in package allocation problemsinfo:eu-repo/semantics/article7482092024-06-17info:eu-repo/semantics/openAccess