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Maximum and minimum core payoffs for supermodular multisided assignment markets with local monotonicity

Title: Maximum and minimum core payoffs for supermodular multisided assignment markets with local monotonicity
Authors: Martínez De Albeniz, Javier; Rafels Pallarola, Carlos; Ybern Carballo, María de las Nieves
Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques
Publisher Information: Elsevier
Publication Year: 2026
Collection: Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge
Subject Terms: Àrees temàtiques de la UPC::Matemàtiques i estadística; Supermodular market; Assignment game; Multisided assignment game; Core; Extreme core allocations
Description: © 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/). ; We give formulas to obtain the maximum and minimum core payoffs for supermodular multisided assignment markets satisfying a local monotonicity condition. These formulas are obtained directly from the multisided array of data and we provide a core allocation where these bounds are attained. Similar formulas are known from Eriksson et al. (2000) for the bilateral Becker’s assortative assignment. ; Financial support from research grant PID2023-150472NB-I00 (Ministerio de Ciencia, Innovación y Universidades, AEI/FEDER, UE) is gratefully acknowledged, and from the Generalitat de Catalunya, through grant 2021 SGR 00306. ; Peer Reviewed ; Postprint (published version)
Document Type: article in journal/newspaper
File Description: 8 p.; application/pdf
Language: English
Relation: https://www.sciencedirect.com/science/article/pii/S0166218X25005700?via%3Dihub; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2023-150472NB-I00/ES/PROBLEMAS DE DISTRIBUCION EN JUEGOS COALICIONALES, REDES Y MERCADOS/; SGR/00306; https://hdl.handle.net/2117/455908
DOI: 10.1016/j.dam.2025.10.006
Availability: https://hdl.handle.net/2117/455908; https://doi.org/10.1016/j.dam.2025.10.006
Rights: http://creativecommons.org/licenses/by-nc/4.0/ ; Open Access ; Attribution-NonCommercial 4.0 International
Accession Number: edsbas.37E70D09
Database: BASE