2026-04-17T02:57:11Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1801742025-11-20T11:05:33Zcom_2072_1057col_2072_478917col_2072_478919

00925njm 22002777a 4500 dc Alonso-Meijide, José Mª author Álvarez-Mozos, Mikel author Fiestras-Janeiro, M. Gloria, 1962- author Jiménez-Losada, Andrés author 2021-09-21T07:44:33Z 2021-09-21T07:44:33Z 2021-08 2021-09-21T07:44:33Z In this paper an order on the set of embedded coalitions is studied in detail. This allows us to define new notions of superaddivity and convexity of games in partition function form which are compared to other proposals in the literature. The main results are two characterizations of convexity. The first one uses non-decreasing contributions to coalitions of increasing size and can thus be considered parallel to the classic result for cooperative games without externalities. The second one is based on the standard convexity of associated games without externalities that we define using a partition of the player set. Using the later result, we can conclude that some of the generalizations of the Shapley value to games in partition function form lie within the cores of specific classic games when the original game is convex. Funcions convexes Teoria de jocs Optimització matemàtica Particions (Matemàtica) Convex functions Game theory Mathematical optimization Partitions (Mathematics) Marginality and convexity in partition function form games