Assortative multisided assignment games: the extreme core points

We analyze assortative multisided assignment games, following Sherstyuk (1999) and Martínez-de-Albéniz et al. (2019). In them players' abilities are complementary across types (i.e. supermodular), and also the output of the essential coalitions is increasing depending on types. We study the ext...

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Bibliographic Details
Authors: Martínez de Albéniz, F. Javier, Rafels, Carles, Ybern, Neus
Format: article
Status:Versión aceptada para publicación
Publication Date:2020
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/154537
Online Access:https://hdl.handle.net/2445/154537
Access Level:Open access
Keyword:Teoria de jocs
Teoria de conjunts
Lògica matemàtica
Presa de decisions
Game theory
Set theory
Mathematical logic
Decision making
Description
Summary:We analyze assortative multisided assignment games, following Sherstyuk (1999) and Martínez-de-Albéniz et al. (2019). In them players' abilities are complementary across types (i.e. supermodular), and also the output of the essential coalitions is increasing depending on types. We study the extreme core points and show a simple mechanism to compute all of them. In this way we describe the whole core. This mechanism works from the original data array and the maximum number of extreme core points is obtained.