Two-bound core games and the nucleolus

Autor: Doudou Gong, Bas Dietzenbacher, Hans Peters
Přispěvatelé: RS: GSBE other - not theme-related research, Quantitative Economics, QE Math. Economics & Game Theory, RS: FSE DACS Mathematics Centre Maastricht
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Annals of Operations Research. Springer
ISSN: 0254-5330
Popis: This paper introduces the new class of two-bound core games, where the core can be described by a lower bound and an upper bound on the payoffs of the players. Many classes of games turn out to be two-bound core games. We show that the core of each two-bound core game can be described equivalently by the pair of exact core bounds, and study to what extent the exact core bounds can be stretched while retaining the core description. We provide explicit expressions of the nucleolus for two-bound core games in terms of all pairs of bounds describing the core, using the Talmud rule for bankruptcy problems, and study to what extent these expressions are robust against game changes.
Databáze: OpenAIRE