Multidimensional bargaining and posted prices

A seller and a buyer bargain over the quantities and prices of multiple goods. Both agents have private information about their preferences. Utility is quasilinear in money. We show that a deterministic mechanism satisfies (i) dominant-strategy incentive compatibility, (ii) ex-post individual ration...

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Bibliographic Details
Authors: Hagen, Martin, Hernando-Veciana, Ángel
Format: article
Publication Date:2021
Country:España
Institution:CUNEF Universidad
Repository:OpenCUNEF
Language:English
OAI Identifier:oai:open.cunef.edu:20.500.14861/36
Online Access:https://hdl.handle.net/20.500.14861/36
Access Level:Open access
Keyword:mechanism design
bilateral trade
multidimensional private information
posted prices
dominant strategies
collusion-proofness
Description
Summary:A seller and a buyer bargain over the quantities and prices of multiple goods. Both agents have private information about their preferences. Utility is quasilinear in money. We show that a deterministic mechanism satisfies (i) dominant-strategy incentive compatibility, (ii) ex-post individual rationality and (iii) ex-post budget balance if and only if it is a posted-price mechanism. A similar, more general result holds if (iii) is replaced by ex-post collusion-proofness and a no-free lunch condition. We provide a unified proof of both findings via the property of non-bossiness.