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: Reduced two-bound core games Abstract: This paper studies Davis-Maschler reduced games of two-bound core games and shows that all these reduced games with respect to core elements are two-bound core games with the same pair of bounds. Based on associated reduced game properties,
we axiomatically characterize the core, the nucleolus, and the egalitarian core for two-bound core games. Moreover, we show that the egalitarian core for two-bound core games is single-valued and we provide an explicit expression. Classification-JEL: c71 Series: GSBE Research Memoranda Creation-Date: 20220120 Number: 001 File-URL: https://cris.maastrichtuniversity.nl/ws/files/77397052/RM22001.pdf File-Format: application/pdf File-Size: 562957 Handle: Repec:unm:umagsb:2022001 DOI: 10.26481/umagsb.2022001