Template-type: ReDif-Paper 1.0 Author-Name: Gong, Doudou Author-Name: Dietzenbacher, Bas Author-workplace-name: RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory Title: Core bound reduced games and consistency Abstract: The lower and upper exact core bounds describe the minimum and maximum individual payoffs with in the core of a balanced game, respectively. Based on these bounds, we introduce lower and upper core bound reduced games and study the relation with other reduced games. We axiomatically characterize new solutions for balanced games as unique core bound consistent extensions of the classical two-player principles unanimity, standardness, and constrained egalitarianism. We name
these solutions core covers, equal gap values, and constrained equality values. Classification-JEL: c71 Series: GSBE Research Memoranda Creation-Date: 20250310 Number: 002 File-URL: https://cris.maastrichtuniversity.nl/ws/files/242872672/RM25002.pdf File-Format: application/pdf File-Size: 448382 Handle: Repec:unm:umagsb:2025002 DOI: 10.26481/umagsb.2025002