A mechanism for package allocation problems with gross substitutes

We consider a package allocation problem in which a seller owns many indivisible objects and the rest of the agents, buyers, are interested in packages of these objects. Buyers' valuations satisfy monotonicity and the gross substitutes condition (Kelso and Crawford, 1982). The aim of this paper...

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Detalles Bibliográficos
Autores: Núñez, Marina (Núñez Oliva), Rafels, Carles, Robles Jiménez, Francisco Javier
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2020
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/154514
Acceso en línea:https://hdl.handle.net/2445/154514
Access Level:acceso abierto
Palabra clave:Economia matemàtica
Assignació d'actius
Equilibri (Economia)
Mathematical economics
Asset allocation
Equilibrium (Economics)
Descripción
Sumario:We consider a package allocation problem in which a seller owns many indivisible objects and the rest of the agents, buyers, are interested in packages of these objects. Buyers' valuations satisfy monotonicity and the gross substitutes condition (Kelso and Crawford, 1982). The aim of this paper is to analyze the following mechanism: simultaneously, each buyer requests to the seller a package by announcing how much he would pay for it; once buyers have played, the seller decides the final assignment of packages and the prices, as long as this assignment makes no buyer worse off than with his initial request. The subgame perfect equilibrium outcomes of the mechanism correspond to the Vickrey outcome (Vickrey, 1961) of the market.