Template-type: ReDif-Paper 1.0
Author-Name: Dietzenbacher, Bas
Author-workplace-name: RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory
Author-Name: Vermeulen, Dries
Author-workplace-name: RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory, RS: GSBE MCM
Title: Graph-restricted games and their inheritance of properties
Abstract: For communication situations where the communication possibilities of players are modeled by an undirected graph, we study to what extent Myerson’s graph-restricted game inherits properties from the original transferable utility game. We focus on monotonicity, additivity, superadditivity, convexity, imputation admissibility, balancedness, total balancedness, population monotonic allocation schemes, and exactness. For each of these properties, we characterize all communication graphs that guarantee the inheritance. We present existing results from the literature and we provide new results.
Classification-JEL: c71
Series: GSBE Research Memoranda
Creation-Date: 20250331
Number: 003
File-URL: https://cris.maastrichtuniversity.nl/ws/files/247272913/RM25003.pdf
File-Format: application/pdf
File-Size: 450748
Handle: Repec:unm:umagsb:2025003
DOI: 10.26481/umagsb.2025003