Template-type: ReDif-Paper 1.0 Author-Name: Chai, Ziyi Author-Name: Dietzenbacher, Bas Author-workplace-name: RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory Title: Two-bound core games with communication restrictions Abstract: This paper studies classes of two-bound core games with communication restrictions modeled by an undirected graph. We focus on unanimity games, bankruptcy games, 1-convex games, big boss games, clan games, compromise stable games, one-bound core games, and the entire class of two-bound core games. For each of these classes, we characterize all communication graphs that guarantee that the graph-restricted game belongs to the same class as the original two-bound core game. Keywords: two-bound core games, communication situations, graph-restricted games Classification-JEL: c71 Series: GSBE Research Memoranda Creation-Date: 20260910 Number: 008 File-URL: https://cris.maastrichtuniversity.nl/ws/files/323027936/RM26008.pdf File-Format: application/pdf File-Size: 452048 Handle: Repec:unm:umagsb:2026008 DOI: 10.26481/umagsb.2026008