The Complexity of Matching Games: A Survey

Autor: Benedek, Márton, Biró, Péter, Johnson, Matthew, Paulusma, Daniël, Ye, Xin
Rok vydání: 2022
Předmět:
Zdroj: Journal Of Artificial Intelligence Research, Volume 77, pages 459-485, 2023
Druh dokumentu: Working Paper
DOI: 10.1613/jair.1.14281
Popis: Matching games naturally generalize assignment games, a well-known class of cooperative games. Interest in matching games has grown recently due to some breakthrough results and new applications. This state-of-the-art survey provides an overview of matching games and extensions, such as $b$-matching games and partitioned matching games; the latter originating from the emerging area of international kidney exchange. In this survey we focus on computational complexity aspects of various game-theoretical solution concepts, such as the core, nucleolus and Shapley value, when the input is restricted to a matching game or one if its variants.
Databáze: arXiv