Template-type: ReDif-Paper 1.0
Author-Name: Gong, Doudou
Author-workplace-name: RS: GSBE other - not theme-related research, Quantitative Economics
Author-Name: Dietzenbacher, Bas
Author-workplace-name: RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory
Author-Name: Peters, Hans
Author-workplace-name: QE Math. Economics & Game Theory, RS: GSBE other - not theme-related research
Title: Two-bound core games and the nucleolus
Abstract: 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.
Classification-JEL: c71
Series: GSBE Research Memoranda
Creation-Date: 20211213
Number: 020
File-URL: https://cris.maastrichtuniversity.nl/ws/files/76000395/RM21020.pdf
File-Format: application/pdf
File-Size: 632587
Handle: Repec:unm:umagsb:2021020
DOI: 10.26481/umagsb.2021020